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1

Mohamed, Abdel-Baset A., Atta Ur Rahman, and Hichem Eleuch. "Measurement Uncertainty, Purity, and Entanglement Dynamics of Maximally Entangled Two Qubits Interacting Spatially with Isolated Cavities: Intrinsic Decoherence Effect." Entropy 24, no. 4 (2022): 545. http://dx.doi.org/10.3390/e24040545.

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Анотація:
In a system of two charge-qubits that are initially prepared in a maximally entangled Bell’s state, the dynamics of quantum memory-assisted entropic uncertainty, purity, and negative entanglement are investigated. Isolated external cavity fields are considered in two different configurations: coherent-even coherent and even coherent cavity fields. For different initial cavity configurations, the temporal evolution of the final state of qubits and cavities is solved analytically. The effects of intrinsic decoherence and detuning strength on the dynamics of bipartite entropic uncertainty, purity
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2

Hall, Michael J. W. "Better Heisenberg Limits, Coherence Bounds, and Energy-Time Tradeoffs via Quantum Rényi Information." Entropy 24, no. 11 (2022): 1679. http://dx.doi.org/10.3390/e24111679.

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Анотація:
An uncertainty relation for the Rényi entropies of conjugate quantum observables is used to obtain a strong Heisenberg limit of the form RMSE≥f(α)/(⟨N⟩+12), bounding the root mean square error of any estimate of a random optical phase shift in terms of average photon number, where f(α) is maximised for non-Shannon entropies. Related simple yet strong uncertainty relations linking phase uncertainty to the photon number distribution, such as ΔΦ≥maxnpn, are also obtained. These results are significantly strengthened via upper and lower bounds on the Rényi mutual information of quantum communicati
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3

Caligiuri, Luigi Maxmilian. "QED coherence in matter, syntropy and the coherent domains as storing “devices”." Journal of Physics: Conference Series 2197, no. 1 (2022): 012004. http://dx.doi.org/10.1088/1742-6596/2197/1/012004.

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Анотація:
Abstract Several macroscopic systems, like in particular living organisms, are characterized by stability and high level of order at mesoscopic / macroscopic scale. These peculiar features cannot be explained by considering just short-range interactions among their elementary constituents (atoms / molecules) and the entropic dynamics governing it. The theory of QED coherence predicts that in condensed matter, when suitable boundary conditions about temperature and density are satisfied (as generally happens in living systems), a quantum phase transition spontaneously occurs, driving the system
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4

Sohns, Moritz. "Minimal Entropy and Entropic Risk Measures: A Unified Framework via Relative Entropy." Risks 13, no. 4 (2025): 70. https://doi.org/10.3390/risks13040070.

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Анотація:
We introduce a new coherent risk measure, the minimal-entropy risk measure, which is built on the minimal-entropy σ-martingale measure—a concept inspired by the well-known minimal-entropy martingale measure used in option pricing. While the minimal-entropy martingale measure is commonly used for pricing and hedging, the minimal-entropy σ-martingale measure has not previously been studied, nor has it been analyzed as a traditional risk measure. We address this gap by clearly defining this new risk measure and examining its fundamental properties. In addition, we revisit the entropic risk measur
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5

Hashimoto, Kazunari, and Chikako Uchiyama. "Effect of Quantum Coherence on Landauer’s Principle." Entropy 24, no. 4 (2022): 548. http://dx.doi.org/10.3390/e24040548.

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Анотація:
Landauer’s principle provides a fundamental lower bound for energy dissipation occurring with information erasure in the quantum regime. While most studies have related the entropy reduction incorporated with the erasure to the lower bound (entropic bound), recent efforts have also provided another lower bound associated with the thermal fluctuation of the dissipated energy (thermodynamic bound). The coexistence of the two bounds has stimulated comparative studies of their properties; however, these studies were performed for systems where the time-evolution of diagonal (population) and off-di
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6

FÖLLMER, HANS, and THOMAS KNISPEL. "ENTROPIC RISK MEASURES: COHERENCE VS. CONVEXITY, MODEL AMBIGUITY AND ROBUST LARGE DEVIATIONS." Stochastics and Dynamics 11, no. 02n03 (2011): 333–51. http://dx.doi.org/10.1142/s0219493711003334.

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Анотація:
We study a coherent version of the entropic risk measure, both in the law-invariant case and in a situation of model ambiguity. In particular, we discuss its behavior under the pooling of independent risks and its connection with a classical and a robust large deviations bound.
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7

Silver, Frederick H., Nikita Kelkar, and Tanmay Deshmukh. "Use of Vibrational Optical Coherence Tomography to Analyze the Mechanical Properties of Composite Materials." Sensors 21, no. 6 (2021): 2001. http://dx.doi.org/10.3390/s21062001.

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Анотація:
Energy storage and dissipation by composite materials are important design parameters for sensors and other devices. While polymeric materials can reversibly store energy by decreased chain randomness (entropic loss) they fail to be able to dissipate energy effectively and ultimately fail due to fatigue and molecular chain breakage. In contrast, composite tissues, such as muscle and tendon complexes, store and dissipate energy through entropic changes in collagen (energy storage) and viscous losses (energy dissipation) by muscle fibers or through fluid flow of the interfibrillar matrix. In thi
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8

Ye, Biao-Liang, Qi-Cheng Wu, Bao-Qing Guo, Jun-Long Zhao, Yu-Liang Fang, and Yan-Hui Zhou. "Steered quantum coherence and entropic uncertainty relation in the cluster Ising model." Journal of Statistical Mechanics: Theory and Experiment 2024, no. 9 (2024): 093102. http://dx.doi.org/10.1088/1742-5468/ad6df3.

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Анотація:
Abstract In this paper, we investigate the cluster Ising model (CIM) via steered quantum coherence (SQC) and entropic uncertainty relation (EUR). We present the behavior of SQC quantified by the L1 norm, relative entropy and quantum Jensen–Shannon divergence. We also demonstrate the properties of EUR in the CIM. In addition, we provide a comparative analysis of these measures and present detailed numerical results.
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9

Bhattacharyya, Arpan, Suddhasattwa Brahma, S. Shajidul Haque, Jacob S. Lund, and Arpon Paul. "Probing the self-coherence of primordial quantum fluctuations with complexity." Journal of Cosmology and Astroparticle Physics 2025, no. 07 (2025): 036. https://doi.org/10.1088/1475-7516/2025/07/036.

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Анотація:
Abstract A smoking gun for our current paradigm of the early universe would be direct evidence for the quantum mechanical origin of density perturbations which are conjectured to seed the large scale structure of our universe. A recently-proposed novel phenomenon is that of recoherence, wherein a specific interaction between the adiabatic and the entropic sector leads to the adiabatic mode retaining a coherent state after a transient increase in linear entropy. In this paper, we choose the Gaussian action allowing for both field-field and field-momentum coupling, and analyze the evolution of l
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10

Zhang, Zuo-Yuan, and Jin-Ming Liu. "Coherence and entropic uncertainty relation of dipole-coupled qubits under decoherence." Physica A: Statistical Mechanics and its Applications 589 (March 2022): 126639. http://dx.doi.org/10.1016/j.physa.2021.126639.

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11

Fang, Bao-Long, Jiadong Shi, and Tao Wu. "Quantum-Memory-Assisted Entropic Uncertainty Relation and Quantum Coherence in Structured Reservoir." International Journal of Theoretical Physics 59, no. 3 (2020): 763–71. http://dx.doi.org/10.1007/s10773-019-04363-6.

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12

Haddadi, Saeed, Mehrdad Ghominejad, Ahmad Akhound, and Mohammad Reza Pourkarimi. "Entropic uncertainty relation and quantum coherence under Ising model with Dzyaloshinskii–Moriya interaction." Laser Physics Letters 18, no. 8 (2021): 085204. http://dx.doi.org/10.1088/1612-202x/ac0fe9.

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13

Brandtner, Mario, Wolfgang Kürsten, and Robert Rischau. "Entropic risk measures and their comparative statics in portfolio selection: Coherence vs. convexity." European Journal of Operational Research 264, no. 2 (2018): 707–16. http://dx.doi.org/10.1016/j.ejor.2017.07.007.

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14

Krauskopf, T., T. B. Lauck, L. Klein, et al. "Unilateral transfemoral amputees exhibit altered strength and dynamics of muscular co-activation modulated by visual feedback." Journal of Neural Engineering 19, no. 1 (2022): 016024. http://dx.doi.org/10.1088/1741-2552/ac5091.

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Анотація:
Abstract Objective. Somatosensory perception is disrupted in patients with a lower limb amputation. This increases the difficulty to maintain balance and leads to the development of neuromuscular adjustments. We investigated how these adjustments are reflected in the co-activation of lower body muscles and are modulated by visual feedback. Approach. We measured electromyography (EMG) signals of muscles from the trunk (erector spinae and obliquus external), and the lower intact/dominant leg (tibialis anterior and medial gastrocnemius) in 11 unilateral transfemoral amputees and 11 age-matched ab
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15

Marmani, Stefano, Valerio Ficcadenti, Parmjit Kaur, and Gurjeet Dhesi. "Entropic Analysis of Votes Expressed in Italian Elections between 1948 and 2018." Entropy 22, no. 5 (2020): 523. http://dx.doi.org/10.3390/e22050523.

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Анотація:
In Italy, the elections occur often, indeed almost every year the citizens are involved in a democratic choice for deciding leaders of different administrative entities. Sometimes the citizens are called to vote for filling more than one office in more than one administrative body. This phenomenon has occurred 35 times after 1948; it creates the peculiar condition of having the same sample of people expressing decisions on political bases at the same time. Therefore, the Italian contemporaneous ballots constitute the occasion to measure coherence and chaos in the way of expressing political op
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16

Fattahi, Abolfazl, Ebrahim Rahmani, Nader Karimi, and S. Mostafa Hosseinalipour. "On the decay of entropic-compositional sources of indirect noise in combustors." INTER-NOISE and NOISE-CON Congress and Conference Proceedings 265, no. 2 (2023): 5167–78. http://dx.doi.org/10.3397/in_2022_0750.

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Анотація:
For nearly half a century, indirect combustion noise in gas turbine combustors was entirely attributed to entropy waves, as the convecting hot spots. However, recent studies identified another source of indirect noise called compositional waves, which consists of convecting chemical blobs. Understanding the evolution of this new source during its journey throughout the combustor requires attention due to the unknown physics of the turbulent, heat transferring flow in which it moves. In the current study, a hot chemical blob including a mixture of combustion products is introduced at the channe
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17

Dolatkhah, H., S. Haseli, S. Salimi, and A. S. Khorashad. "Lower and upper bounds for unilateral coherence and applying them to the entropic uncertainty relations." EPL (Europhysics Letters) 132, no. 5 (2020): 50008. http://dx.doi.org/10.1209/0295-5075/132/50008.

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18

Rahman, Atta ur, Macheng Yang, Sultan Mahmood Zangi, and Congfeng Qiao. "Probing a Hybrid Channel for the Dynamics of Non-Local Features." Symmetry 15, no. 12 (2023): 2189. http://dx.doi.org/10.3390/sym15122189.

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Анотація:
Effective information transmission is a central element in quantum information protocols, but the quest for optimal efficiency in channels with symmetrical characteristics remains a prominent challenge in quantum information science. In light of this challenge, we introduce a hybrid channel that encompasses thermal, magnetic, and local components, each simultaneously endowed with characteristics that enhance and diminish quantum correlations. To investigate the symmetry of this hybrid channel, we explored the quantum correlations of a simple two-qubit Heisenberg spin state, quantified using me
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19

Javed, Muhammad, Sidra Salim, Sumayya Said, Khushnood Shah, and Atta ur Rahman. "The influence of Ohmic noise on the dynamics of three-spin open quantum system." Laser Physics 34, no. 3 (2024): 035202. http://dx.doi.org/10.1088/1555-6611/ad2444.

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Анотація:
Abstract The dynamics of open quantum systems under decoherence effects remain a hotly debated topic in the case of the practical deployment of quantum information processing. In this regard, we examine how the three-qubit mixed state is affected by changes in the cut-off frequency of the Ohmic spectral density in a harmonic reservoir. Specifically, the degree of quantum memory-assisted entropic uncertainty (QMA-EU), along with the entanglement, coherence, and purity of the system, is to be demonstrated. A thorough exercise is done to investigate any underlying relationship between the three-q
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20

Dryg, Ian, Yijing Xie, Michael Bergmann, Gerald Urban, William Shain, and Ulrich G. Hofmann. "Long-term in vivo monitoring of gliotic sheathing of ultrathin entropic coated brain microprobes with fiber-based optical coherence tomography." Journal of Neural Engineering 18, no. 4 (2021): 045002. http://dx.doi.org/10.1088/1741-2552/abebc2.

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21

Rastegin, Alexey E. "Number-phase uncertainty relations in terms of generalized entropies." Quantum Information and Computation 12, no. 9&10 (2012): 743–62. http://dx.doi.org/10.26421/qic12.9-10-2.

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Анотація:
Number-phase uncertainty relations are formulated in terms of unified entropies which form a family of two-parametric extensions of the Shannon entropy. For two generalized measurements, unified-entropy uncertainty relations are given in both the state-dependent and state-independent forms. A few examples are discussed as well. Using the Pegg--Barnett formalism and the Riesz theorem, we obtain a nontrivial inequality between norm-like functionals of generated probability distributions in finite dimensions. The principal point is that we take the infinite-dimensional limit right for this inequa
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22

Silver, Frederick H., Nikita Kelkar, and Tanmay Deshmukh. "Molecular Basis for Mechanical Properties of ECMs: Proposed Role of Fibrillar Collagen and Proteoglycans in Tissue Biomechanics." Biomolecules 11, no. 7 (2021): 1018. http://dx.doi.org/10.3390/biom11071018.

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Анотація:
Collagen and proteoglycans work in unison in the ECM to bear loads, store elastic energy and then dissipate excess energy to avoid tissue fatigue and premature mechanical failure. While collagen fibers store elastic energy by stretching the flexible regions in the triple helix, they do so by lowering their free energy through a reduction in the entropy and a decrease in charge–charge repulsion. Entropic increases occur when the load is released that drive the reversibility of the process and transmission of excess energy. Energy is dissipated by sliding of collagen fibrils by each other with t
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23

Mohamed, Abdel-Baset A., Atta Ur Rahman, and Hichem Eleuch. "Temporal Quantum Memory and Non-Locality of Two Trapped Ions under the Effect of the Intrinsic Decoherence: Entropic Uncertainty, Trace Norm Nonlocality and Entanglement." Symmetry 14, no. 4 (2022): 648. http://dx.doi.org/10.3390/sym14040648.

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Анотація:
The engineering properties of trapped ions and their capacity to engender numerous quantum information resources determine many aspects of quantum information processing. We devise a setup of coherent and even coherent fields acting on two trapped ions to generate quantum memory, non-locality, and entanglement. Various effects, such as intrinsic decoherence, Lamb–Dicke regime, and dipole–dipole interaction are investigated. The inter-coupling of trapped ions, as well as the generation and dynamics of correlations between them, are analyzed. Using quantum memory assisted entropic uncertainty, t
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24

Song, Yuan-Feng, Li-Zhu Ge, Yao-Kun Wang, Hui Tang, and Yan Tian. "Relative entropies of coherence of X states in three-dimensional mutually unbiased bases." Laser Physics Letters 19, no. 8 (2022): 085201. http://dx.doi.org/10.1088/1612-202x/ac7572.

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Анотація:
Abstract In this paper, we calculate the density matrices of one class of X states in the three-dimensional mutually unbiased bases and find that the density matrices are equal to their corresponding conjugate transpose matrices. After obtaining the relations of these density matrices, we calculate the relative entropies of coherence for the density matrices of X states in these nontrivial mutually unbiased bases and obtain that their relative entropies of coherence are equal. At last, the density matrices of other two classes of X states in these mutually unbiased bases are discussed. We also
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25

G.A., Korablev. "Entropic method for calculating the maximum and effective energies of atomic structures." International Journal of Applied Science and Research 06, no. 04 (2023): 248–57. http://dx.doi.org/10.56293/ijasr.2022.5554.

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Анотація:
The maximum and effective energies of an atomic structure equal the sum of their entropic energy components. This summation is performed for systems in equilibrium entropic state and following special rules. The spatial-energy parameter is obtained, which numerically equals the most effective energy in structural interactions. The computational and analytical method for evaluating the solubility and phase formation for complex multicomponent metal systems is developed. The calculation results are quite coherent with the experimental data. The technique based on entropic principles for calculat
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26

Grigory, Andreevich Korablev. "Entropic method for calculating the maximum and effective energies of atomic structures." Advance Research Journal of Multidisciplinary Discoveries 89, no. 1 (2023): 1–7. https://doi.org/10.5281/zenodo.10613870.

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Анотація:
The maximum and effective energies of an atomic structure equal the sum of their entropic energy components. This summation is performed for systems in equilibrium entropic state and following special rules. The spatial-energy parameter is obtained, which numerically equals the most effective energy in structural interactions. The computational and analytical method for evaluating the solubility and phase formation for complex multi-component metal systems is developed. The calculation results are quite coherent with the experimental data. The technique based on entropic principles for calcula
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27

MIZRAHI, S. S., V. V. DODONOV, and D. OTERO. "A COMPARISON BETWEEN WEHRL–LIEB AND VON NEUMANN ENTROPIES FOR TIME-EVOLVING SPIN-1/2 MIXED STATES." Modern Physics Letters B 08, no. 16 (1994): 995–1006. http://dx.doi.org/10.1142/s021798499400100x.

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Анотація:
Years ago, A. Wehrl (Rev. Mod. Phys.50, 221 (1978)) introduced the concept of classicallike entropy of quantum states when a two-label continuous representation is used; for instance, the harmonic oscillator coherent states. Subsequently, E. H. Lieb (Commun. Math. Phys.62, 35 (1978)) extended that concept of entropy to the Bloch coherent spin states. Here, we consider spin-1/2 systems and calculate both the Wehrl–Lieb and von Neumann entropies, and then we compare the results and discuss the Wehrl–Lieb entropy as an alternative formulation to von Neumann's. As illustration, three examples are
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28

denis, olivier. "Entropic Information Theory: Formulae and Quantum Gravity; Bits from Bit." Physical Science International Journal 25, no. 9 (2021): 23–30. https://doi.org/10.9734/psij/2021/v25i930281.

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Анотація:
We show here that entropic information is capable of unifying all aspects of the universe at all scales in a coherent and global theoretical mathematical framework materialized by entropic information framework, theory and formulas, where dark matter, dark energy and gravity are truly informationals processes and where information is code and code is what creates the process, it is itself the process. Mass, energy and movement of information are respectively dark matter, dark energy, and gravity. Here, we reconcile general relativity and quantum mechanics by introducing quantum gravity for the
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29

Liu, Feihong, Xiao Zhang, Hongyu Wang, and Jun Feng. "Context-Aware Superpixel and Bilateral Entropy—Image Coherence Induces Less Entropy." Entropy 22, no. 1 (2019): 20. http://dx.doi.org/10.3390/e22010020.

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Анотація:
Superpixel clustering is one of the most popular computer vision techniques that aggregates coherent pixels into perceptually meaningful groups, taking inspiration from Gestalt grouping rules. However, due to brain complexity, the underlying mechanisms of such perceptual rules are unclear. Thus, conventional superpixel methods do not completely follow them and merely generate a flat image partition rather than hierarchical ones like a human does. In addition, those methods need to initialize the total number of superpixels, which may not suit diverse images. In this paper, we first propose con
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30

Ditsch, Sara, and Tobias Haas. "Entropic distinguishability of quantum fields in phase space." Quantum 8 (July 17, 2024): 1414. http://dx.doi.org/10.22331/q-2024-07-17-1414.

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Анотація:
We present a general way of quantifying the entropic uncertainty of quantum field configurations in phase space in terms of entropic distinguishability with respect to the vacuum. Our approach is based on the functional Husimi Q-distribution and a suitably chosen relative entropy, which we show to be non-trivially bounded from above by the uncertainty principle. The resulting relative entropic uncertainty relation is as general as the concept of coherent states and thus holds for quantum fields of bosonic and fermionic type. Its simple form enables diverse applications, among which we present
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31

Plastino, Angelo, Mario Carlos Rocca, and Flavia Pennini. "Useful Dual Functional of Entropic Information Measures." Entropy 22, no. 4 (2020): 491. http://dx.doi.org/10.3390/e22040491.

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Анотація:
There are entropic functionals galore, but not simple objective measures to distinguish between them. We remedy this situation here by appeal to Born’s proposal, of almost a hundred years ago, that the square modulus of any wave function | ψ | 2 be regarded as a probability distribution P. the usefulness of using information measures like Shannon’s in this pure-state context has been highlighted in [Phys. Lett. A1993, 181, 446]. Here we will apply the notion with the purpose of generating a dual functional [ F α R : { S Q } ⟶ R + ], which maps entropic functionals onto positive real numbers. I
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32

Yan, Jun, and Yue Yin. "Asymptotic behavior of estimators of entropic risk measures under asymmetric Laplace law." International Journal of Modeling, Simulation, and Scientific Computing 11, no. 05 (2020): 2050044. http://dx.doi.org/10.1142/s1793962320500440.

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Анотація:
In this paper, we study several asymptotic behaviors of the estimators of convex and coherent entropic risk measures. First, the moderate deviation principles of the estimators are given. Second, the central limit theorems of the estimators are given. Finally, several simulation results are given to support our main conclusions.
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33

OBADA, A. S. F., H. A. HESSIAN, and A. B. A. MOHAMED. "SUB-ENTROPIES AND PHASE PROPERTIES UNDERGOING THE EFFECTS OF ATOMIC MOTION FOR THE JAYNES–CUMMINGS MODEL WITH INITIAL MIXED STATE INPUT." International Journal of Quantum Information 04, no. 05 (2006): 871–82. http://dx.doi.org/10.1142/s0219749906002158.

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Анотація:
An analytical method to calculate the sub-entropies and entanglement for the mixed state as an initial field is presented. Also, we investigate the effects of the atomic motion and the field-mode structure on sub-entropies and phase properties of the coherent superposition state and a statistical mixture of coherent states as initial field states taking into account different forms of the intensity-dependent coupling. The initial state, the atomic motion and the field-mode structure play important roles in the time evolution of the entropies, entanglement and phase properties.
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34

Zuo, Baishuai, and Chuancun Yin. "Covariance Representations and Coherent Measures for Some Entropies." Entropy 25, no. 11 (2023): 1525. http://dx.doi.org/10.3390/e25111525.

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Анотація:
We obtain covariance and Choquet integral representations for some entropies and give upper bounds of those entropies. The coherent properties of those entropies are discussed. Furthermore, we propose tail-based cumulative residual Tsallis entropy of order α (TCRTE) and tail-based right-tail deviation (TRTD); then, we define a shortfall of cumulative residual Tsallis (CRTES) and shortfall of right-tail deviation entropy (RTDS) and provide some equivalent results. As illustrated examples, the CRTESs of elliptical, inverse Gaussian, gamma and beta distributions are simulated.
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35

Hammachi, Riwan, Estelle Piot, Hugues Deniau, Jean-Philippe Brazier, Guillaume Daviller, and José I. Cardesa. "Coherent structure tracking of the second Mack mode in transitional hypersonic boundary layers." Journal of Physics: Conference Series 2753, no. 1 (2024): 012012. http://dx.doi.org/10.1088/1742-6596/2753/1/012012.

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Анотація:
Abstract The natural transition of hypersonic boundary layers (HBLs) is often expressed in terms of discrete modes and their linear stability. A frequent interpretation revolves around fast and slow acoustic modes interacting in the vicinity of the vortical/entropic branches of the continuous spectrum found from stability analyses. Yet several transition scenarios are contingent upon factors such as the spectral content of the free-stream disturbances, or the interactions between the discrete modes within the boundary layer and the free-stream disturbances near the leading edge which can be de
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36

YF, Chang. "Information, Entropy Decrease and Simulations of Astrophysical Evolutions." Physical Science & Biophysics Journal 5, no. 2 (2021): 1–11. http://dx.doi.org/10.23880/psbj-16000181.

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Анотація:
Entropy is a great development in science. We proposed that entropy decrease due to internal interactions in the isolated system is possible. We define the entangled scale, which mainly involves the number n and entangled degree. Since coherence, entanglement and correlation are all internal interactions in information systems, we discuss quantitatively entropy decrease along coherence, and entropy increase only for incoherence. From beginning quantum heat engine, we must systematically study quantum thermodynamics. Based on some astrophysical simulation models, they shown that the universe ev
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37

Song, Haiyan, Xianfu Zeng, Yanhong Chen, and Yijun Hu. "Multivariate Shortfall and Divergence Risk Statistics." Entropy 21, no. 11 (2019): 1031. http://dx.doi.org/10.3390/e21111031.

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Анотація:
The aim of this paper is to construct two new classes of multivariate risk statistics, and to study their properties. We, first, introduce the multivariate shortfall risk statistics and multivariate divergence risk statistics. Then, their basic properties are studied, and their representation results are provided. Furthermore, their coherency is also characterized by means of the corresponding loss function. Finally, entropic risk statistics are given to illustrate the proposed new classes of multivariate risk statistics. The relationship between multivariate shortfall and divergence risk stat
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38

Vampa, Victoria, Andrés M. Kowalski, Marcelo Losada, Mariela Portesi, and Federico Holik. "Cuantificadores de información e impredictibilidad en las series temporales asociadas a la COVID-19." Revista de Matemática: Teoría y Aplicaciones 30, no. 1 (2023): 1–23. http://dx.doi.org/10.15517/rmta.v30i1.50554.

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Анотація:
Aplicamos diferentes cuantificadores de informacion al estudio de series temporales de COVID-19. En primer lugar, analizamos como el hecho de suavizar las curvas altera el contenido de informacion de la serie, aplicando la entropia de permutaciones y la entropia wavelet a la serie de casos diarios nuevos mediante un metodo de ventana movil. Ademas, para estudiar que tan acopladas estan las curvas asociadas con los nuevos casos diarios de infecciones y muertes, calculamos la coherencia wavelet. Nuestros resultados muestran como se pueden utilizar cuantificadores de información para analizar el
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39

Anaya-Contreras, Jorge A., Arturo Zúñiga-Segundo, and Héctor M. Moya-Cessa. "Statistical Mixture of Kaleidoscope States Interacting with a Two-Level Atom: Entropy and Purification." Photonics 10, no. 2 (2023): 150. http://dx.doi.org/10.3390/photonics10020150.

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Анотація:
We investigate some of the fundamental features of the interaction of a mixture of coherent states, namely, a Kaleidoscope states mixture, with two-level atoms in the Jaynes–Cummings model framework. We begin our analysis by calculating the von Neumann entropy of the field, which is determined with the help of the virtual atom method. The oscillations appearing in the entropy indicate a state of purity greater than the initial state, i.e., a purification of the initial state due to a transfer of coherence from the atom to the field. In this oscillatory region, we obtain a negative Wigner funct
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40

Nishitani, Shigeto R., Atsuto Seko, Koretaka Yuge, and Isao Tanaka. "Free Energy Calculations of Precipitate Nucleation." Materials Science Forum 539-543 (March 2007): 2395–400. http://dx.doi.org/10.4028/www.scientific.net/msf.539-543.2395.

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Our recently proposed calculating method reliably predicts the nucleation free energy barrier of the homogeneous and coherent precipitations. Helmholtz free energy change is clearly defined and calculated by the purely enthalpic and entropic contributions between the initial state of the isolated solute atoms scattering around the matrix and the final state of the cluster of size n traveling around the matrix. The enthalpic term is calculated by the reliable first principles method and the entropic term is estimated by the ideal solution model. The vibrational free energy is also included by t
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41

Liu, Yunchao, Qi Zhao, and Xiao Yuan. "Quantum coherence via conditional entropy." Journal of Physics A: Mathematical and Theoretical 51, no. 41 (2018): 414018. http://dx.doi.org/10.1088/1751-8121/aabca2.

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42

Huang, Xufeng, Yuan Yuan, Yueping Niu, and Shangqing Gong. "Experimental Direct Measurement of the Relative Entropy of Coherence." Photonics 10, no. 9 (2023): 1004. http://dx.doi.org/10.3390/photonics10091004.

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Анотація:
Quantum coherence is the most distinguished feature of quantum mechanics, which characterizes the superposition properties of quantum states. It plays a critical role in various fields, ranging from quantum information technology to quantum biology. Although various coherence quantifiers have been proposed since the resource theory of coherence was established, there are a lack of experimental methods to estimate them efficiently, which restricts the applications of coherence. Relative entropy of coherence is one of the main quantifiers of coherence, and is frequently used in quantum informati
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43

Lyu, Bin, Jie Qi, Saurabh Sinha, Jianjun Li, and Kurt J. Marfurt. "Improving fault delineation using maximum entropy multispectral coherence." Interpretation 8, no. 4 (2020): T835—T850. http://dx.doi.org/10.1190/int-2020-0089.1.

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Анотація:
Knowledge of fault geometry plays an important role in reservoir modeling and characterization. Seismic attributes, such as volumetric dip, coherence, and curvature, provide an efficient and objective tool to extract fault geometry attributes. Traditionally, we use noise-attenuated full-bandwidth seismic data to compute coherence followed by smoothing, sharpening, and skeletonization. However, different stratigraphic reflectors with relatively similar waveforms and amplitudes juxtaposing across a fault will algorithmically appear to be continuous, with the resulting fault image being broken. T
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44

Jizba, P., G. Lambiase, G. G. Luciano, and L. Petruzziello. "Coherent states for generalized uncertainty relations and their cosmological implications." Journal of Physics: Conference Series 2533, no. 1 (2023): 012043. http://dx.doi.org/10.1088/1742-6596/2533/1/012043.

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Abstract We study coherent states associated with a generalized uncertainty principle (GUP). Our particular focus is on the negative deformation parameter β. We show that the ensuing coherent state can be identified with Tsallis’ probability amplitude with the non-extensivity parameter q being a monotonically increasing function of β. Furthermore, for β < 0, we reformulate the GUP in terms of a one-parameter class of Tsallis entropy based uncertainty relations, which are again saturated by the GUP coherent states. We argue that this combination of coherent states with Tsallis entropy offers
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45

Fan, Jiaorui, Zhaoqi Wu, and Shao-Ming Fei. "Coherence monotones of quantum channels based on two generalized quantum relative entropies." Laser Physics Letters 20, no. 10 (2023): 105209. http://dx.doi.org/10.1088/1612-202x/acf36a.

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Abstract By using the Choi–Jamiołkowski isomorphism, we propose two classes of coherence monotones of quantum channels based on the unified (r, s)-relative entropy and the sandwiched Rényi relative entropy. Elegant properties of the coherence monotones for quantum channels are explored. Moreover, we present the upper bounds of the coherence monotones and derive the explicit formulas of the coherence monotones for qubit unitary channels.
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46

Hab-Arrih, Radouan, Ahmed Jellal, and Abdeldjalil Merdaci. "Dynamics and redistribution of entanglement and coherence in three time-dependent coupled harmonic oscillators." International Journal of Geometric Methods in Modern Physics 18, no. 08 (2021): 2150120. http://dx.doi.org/10.1142/s0219887821501206.

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We study the dynamics and redistribution of entanglement and coherence in three time-dependent coupled harmonic oscillators. We resolve the Schrödinger equation by using time-dependent Euler rotation together with a linear quench model to obtain the state of vacuum solution. Such state can be translated to the phase space picture to determine the Wigner distribution. We show that its Gaussian matrix [Formula: see text] can be used to directly cast the covariance matrix [Formula: see text]. To quantify the mixedness and entanglement of the state, one uses respectively linear and von Neumann ent
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47

Sieburth, Stephanie. "Interpreting La Regenta: Coherence vs. Entropy." MLN 102, no. 2 (1987): 274. http://dx.doi.org/10.2307/2905689.

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48

Berrada, K. "Entropy squeezing and coherence for a non-Markovian dissipative qubit system." Modern Physics Letters A 35, no. 08 (2019): 2050046. http://dx.doi.org/10.1142/s0217732320500467.

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Анотація:
We examine the impact of the non-Markovian environment on the dynamical behavior of the quantum coherence and entropy squeezing considering a two-level atomic system (qubit) immersed in a reservoir with zero-temperature for two types of non-Markovian environments. We consider a cavity little off-resonance with the transition frequency of the qubit and the case of a non-perfect photonic band gap (PBG). We show that the amount of coherence is dependent on the structure of the environment and influenced through the memory effects. We obtain that the delay and revival of the coherence loss might t
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49

Gao, Dong-Mei, and Ting-Hua Lv. "Is the Relative Entropy of Coherence Always the Minimal-Coherence-Value Measure?" International Journal of Theoretical Physics 58, no. 4 (2019): 1195–201. http://dx.doi.org/10.1007/s10773-019-04011-z.

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50

Ahmadi, Mohamadreza, Ugo Rosolia, Michel D. Ingham, Richard M. Murray, and Aaron D. Ames. "Constrained Risk-Averse Markov Decision Processes." Proceedings of the AAAI Conference on Artificial Intelligence 35, no. 13 (2021): 11718–25. http://dx.doi.org/10.1609/aaai.v35i13.17393.

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Анотація:
We consider the problem of designing policies for Markov decision processes (MDPs) with dynamic coherent risk objectives and constraints. We begin by formulating the problem in a Lagrangian framework. Under the assumption that the risk objectives and constraints can be represented by a Markov risk transition mapping, we propose an optimization-based method to synthesize Markovian policies that lower-bound the constrained risk-averse problem. We demonstrate that the formulated optimization problems are in the form of difference convex programs (DCPs) and can be solved by the disciplined convex-
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