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Journal articles on the topic 'Optimal states'

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Published: 3 June 2025
Last updated: 22 June 2025

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1

Mastriani, Mario. "Optimal Estimate of Quantum States." Journal of Applied Mathematics and Physics 06, no. 06 (2018): 1363–81. http://dx.doi.org/10.4236/jamp.2018.66114.

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2

Werner, R. F. "Optimal cloning of pure states." Physical Review A 58, no. 3 (1998): 1827–32. http://dx.doi.org/10.1103/physreva.58.1827.

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3

Rabbers, Iraes, Johan van Heerden, Niclas Nordholt, Herwig Bachmann, Bas Teusink, and Frank Bruggeman. "Metabolism at Evolutionary Optimal States." Metabolites 5, no. 2 (2015): 311–43. http://dx.doi.org/10.3390/metabo5020311.

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4

Jing, Lu, Zhou Lan, and Kuang Le-Man. "Linear optical implementation of optimal unambiguous discrimination among quantum states." Chinese Physics 15, no. 9 (2006): 1941–46. http://dx.doi.org/10.1088/1009-1963/15/9/007.

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5

Zhang, Li-qiang, Deng-hui Yu, and Chang-shui Yu. "The optimal approximation of qubit states with limited quantum states." Physics Letters A 398 (May 2021): 127286. http://dx.doi.org/10.1016/j.physleta.2021.127286.

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6

Abeyesinghe, A., P. Hayden, G. Smith, and A. J. Winter. "Optimal Superdense Coding of Entangled States." IEEE Transactions on Information Theory 52, no. 8 (2006): 3635–41. http://dx.doi.org/10.1109/tit.2006.878174.

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7

Oreshkov, Ognyan, John Calsamiglia, Ramon Muñoz-Tapia, and Emili Bagan. "Optimal signal states for quantum detectors." New Journal of Physics 13, no. 7 (2011): 073032. http://dx.doi.org/10.1088/1367-2630/13/7/073032.

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8

Divincenzo, David P., Barbara M. Terhal, and Ashish V. Thapliyal. "Optimal decompositions of barely separable states." Journal of Modern Optics 47, no. 2-3 (2000): 377–85. http://dx.doi.org/10.1080/09500340008244049.

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9

Kay, Alastair, Jiannis K. Pachos, Wolfgang Dür, and Hans-J. Briegel. "Optimal purification of thermal graph states." New Journal of Physics 8, no. 8 (2006): 147. http://dx.doi.org/10.1088/1367-2630/8/8/147.

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10

Fiurášek, Jaromír. "Optimal probabilistic estimation of quantum states." New Journal of Physics 8, no. 9 (2006): 192. http://dx.doi.org/10.1088/1367-2630/8/9/192.

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11

Kent, Adrian, Noah Linden, and Serge Massar. "Optimal Entanglement Enhancement for Mixed States." Physical Review Letters 83, no. 13 (1999): 2656–59. http://dx.doi.org/10.1103/physrevlett.83.2656.

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12

Fröwis, F., M. Skotiniotis, B. Kraus, and W. Dür. "Optimal quantum states for frequency estimation." New Journal of Physics 16, no. 8 (2014): 083010. http://dx.doi.org/10.1088/1367-2630/16/8/083010.

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13

Vidal, G., J. I. Latorre, P. Pascual, and R. Tarrach. "Optimal minimal measurements of mixed states." Physical Review A 60, no. 1 (1999): 126–35. http://dx.doi.org/10.1103/physreva.60.126.

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14

Blume-Kohout, Robin. "Optimal, reliable estimation of quantum states." New Journal of Physics 12, no. 4 (2010): 043034. http://dx.doi.org/10.1088/1367-2630/12/4/043034.

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15

Berry, D. W., and H. M. Wiseman. "Optimal States and Almost Optimal Adaptive Measurements for Quantum Interferometry." Physical Review Letters 85, no. 24 (2000): 5098–101. http://dx.doi.org/10.1103/physrevlett.85.5098.

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16

Zhou, H. Q., T. Gao, and F. L. Yan. "Optimal convex approximation of qubit states and geometry of completely represented states." Europhysics Letters 136, no. 2 (2021): 20002. http://dx.doi.org/10.1209/0295-5075/ac3362.

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Abstract We investigate the optimal convex approximation, optimally approximating a desired and unavailable qubit state by the convex mixing of a given set of available states. When the available states are the eigenvectors of three Pauli matrices, we present the complete exact solution for the optimal convex approximation of an arbitrary qubit state based on the fidelity distance. By the comparison of optimal states based on fidelity and trace norm, the advantages and disadvantages of the optimal convex approximation are identified. Several examples are provided to support this. We also analyze the geometrical properties of the target states which can be completely represented by a set of available states. Using the feature of convex combination, we derive the maximum range of completely represented states and clearly illustrate that any qubit state can be optimally prepared by at most three available states in known useable states.
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17

Rodríguez-García, M. A., and F. E. Becerra. "Adaptive Phase Estimation with Squeezed Vacuum Approaching the Quantum Limit." Quantum 8 (September 25, 2024): 1480. http://dx.doi.org/10.22331/q-2024-09-25-1480.

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Phase estimation plays a central role in communications, sensing, and information processing. Quantum correlated states, such as squeezed states, enable phase estimation beyond the shot-noise limit, and in principle approach the ultimate quantum limit in precision, when paired with optimal quantum measurements. However, physical realizations of optimal quantum measurements for optical phase estimation with quantum-correlated states are still unknown. Here we address this problem by introducing an adaptive Gaussian measurement strategy for optical phase estimation with squeezed vacuum states that, by construction, approaches the quantum limit in precision. This strategy builds from a comprehensive set of locally optimal POVMs through rotations and homodyne measurements and uses the Adaptive Quantum State Estimation framework for optimizing the adaptive measurement process, which, under certain regularity conditions, guarantees asymptotic optimality for this quantum parameter estimation problem. As a result, the adaptive phase estimation strategy based on locally-optimal homodyne measurements achieves the quantum limit within the phase interval of [0,π/2). Furthermore, we generalize this strategy by including heterodyne measurements, enabling phase estimation across the full range of phases from [0,π), where squeezed vacuum allows for unambiguous phase encoding. Remarkably, for this phase interval, which is the maximum range of phases that can be encoded in squeezed vacuum, this estimation strategy maintains an asymptotic quantum-optimal performance, representing a significant advancement in quantum metrology.
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18

Garcia-Escartin, J. C., and P. Chamorro-Posada. "Quantum multiplexing with optical coherent states." Quantum Information and Computation 9, no. 7&8 (2009): 573–93. http://dx.doi.org/10.26421/qic9.7-8-2.

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In this paper, we propose a novel quantum multiple access technique based on optical coherent states. The information of several coherent state optical qubits is combined into a single qudit, which is the superposition of almost orthogonal coherent states. The original information is encoded into a new Hilbert space with the help of a quantum multiplexer (QMUX) and then recovered at the other end with a quantum demultiplexer (QDEMUX). We introduce the optical tools that complete the coherence state quantum computation model and give the desired circuits. The proposed system can admit a number of users above the optimal limit at the cost of a degradation of the transmitted data. In this and some other aspects, it can be regarded as a quantum analogue of classical Code Division Multiple Access techniques.
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19

Roudas, Ioannis, Jaroslaw Kwapisz, and Daniel A. Nolan. "Optimal Launch States for the Measurement of Principal Modes in Optical Fibers." Journal of Lightwave Technology 36, no. 20 (2018): 4915–31. http://dx.doi.org/10.1109/jlt.2018.2860974.

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20

Eldar, Y. C., A. Megretski, and G. C. Verghese. "Optimal Detection of Symmetric Mixed Quantum States." IEEE Transactions on Information Theory 50, no. 6 (2004): 1198–207. http://dx.doi.org/10.1109/tit.2004.828070.

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21

Bollinger, J. J., Wayne M. Itano, D. J. Wineland, and D. J. Heinzen. "Optimal frequency measurements with maximally correlated states." Physical Review A 54, no. 6 (1996): R4649—R4652. http://dx.doi.org/10.1103/physreva.54.r4649.

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22

Basin, Michael V. "On Optimal Filtering for Polynomial System States." Journal of Dynamic Systems, Measurement, and Control 125, no. 1 (2003): 123–25. http://dx.doi.org/10.1115/1.1543174.

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The paper presents the optimal nonlinear filter for quadratic state and linear observation equations confused with white Gaussian disturbances. The general scheme for obtaining the optimal filter in case of polynomial state and linear observation equations is announced.
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23

Alguire, Ethan, and Joseph E. Subotnik. "Optimal diabatic states based on solvation parameters." Journal of Chemical Physics 137, no. 19 (2012): 194108. http://dx.doi.org/10.1063/1.4766463.

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24

Carlini, Alberto, Akio Hosoya, Tatsuhiko Koike, and Yosuke Okudaira. "Time optimal quantum evolution of mixed states." Journal of Physics A: Mathematical and Theoretical 41, no. 4 (2008): 045303. http://dx.doi.org/10.1088/1751-8113/41/4/045303.

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25

Qiu, Liang, An Min Wang, and Xiao San Ma. "Optimal dense coding with thermal entangled states." Physica A: Statistical Mechanics and its Applications 383, no. 2 (2007): 325–30. http://dx.doi.org/10.1016/j.physa.2007.05.021.

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26

Huijberts, Henri, and Cees Withagen. "Local asymptotic stability of optimal steady states." Economics Letters 40, no. 1 (1992): 7–11. http://dx.doi.org/10.1016/0165-1765(92)90236-r.

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27

Peres, Asher, and Daniel R. Terno. "Optimal distinction between non-orthogonal quantum states." Journal of Physics A: Mathematical and General 31, no. 34 (1998): 7105–11. http://dx.doi.org/10.1088/0305-4470/31/34/013.

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28

Lockhart, Robert. "Optimal ensemble length of mixed separable states." Journal of Mathematical Physics 41, no. 10 (2000): 6766. http://dx.doi.org/10.1063/1.1290055.

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29

Ping, Yuan, Huina Li, Xiuqin Pan, Mingxing Luo, and Zhili Zhang. "Optimal Purification of Arbitrary Quantum Mixed States." International Journal of Theoretical Physics 52, no. 12 (2013): 4367–73. http://dx.doi.org/10.1007/s10773-013-1755-4.

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30

Scali, Stefano, and Roberto Franzosi. "Entanglement estimation in non-optimal qubit states." Annals of Physics 411 (December 2019): 167995. http://dx.doi.org/10.1016/j.aop.2019.167995.

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31

Grier, Daniel, Hakop Pashayan, and Luke Schaeffer. "Sample-optimal classical shadows for pure states." Quantum 8 (June 17, 2024): 1373. http://dx.doi.org/10.22331/q-2024-06-17-1373.

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We consider the classical shadows task for pure states in the setting of both joint and independent measurements. The task is to measure few copies of an unknown pure state ρ in order to learn a classical description which suffices to later estimate expectation values of observables. Specifically, the goal is to approximate Tr(Oρ) for any Hermitian observable O to within additive error ϵ provided Tr(O2)≤B and ‖O‖=1. Our main result applies to the joint measurement setting, where we show Θ~(Bϵ−1+ϵ−2) samples of ρ are necessary and sufficient to succeed with high probability. The upper bound is a quadratic improvement on the previous best sample complexity known for this problem. For the lower bound, we see that the bottleneck is not how fast we can learn the state but rather how much any classical description of ρ can be compressed for observable estimation. In the independent measurement setting, we show that O(Bdϵ−1+ϵ−2) samples suffice. Notably, this implies that the random Clifford measurements algorithm of Huang, Kueng, and Preskill, which is sample-optimal for mixed states, is not optimal for pure states. Interestingly, our result also uses the same random Clifford measurements but employs a different estimator.
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32

Karpov, D. A., and V. I. Struchenkov. "Dynamic programming in applied tasks which are allowing to reduce the options selection." Russian Technological Journal 8, no. 4 (2020): 96–111. http://dx.doi.org/10.32362/2500-316x-2020-8-4-96-111.

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The article discusses the dynamic programming algorithm developed by R. Bellman, based on the search for the optimal trajectory connecting the nodes of a predefined regular grid of states. Possibilities are analyzed for a sharp increase in the effectiveness of using dynamic programming in solving applied problems with specific features, which allows us to refuse to split a regular grid of states and implement an algorithm for finding the optimal trajectory when rejecting not only unpromising options for paths leading to each of the states, and all of them continuations, as in R. Bellmanʼs algorithm, but also actually hopeless states and all variants of paths emanating from them. The conditions are formulated and justified under which the rejection of hopeless states is possible. It has been established that many applied problems satisfy these conditions. To solve such problems, a new dynamic programming algorithm described in the article is proposed and implemented. Concrete examples of such applied problems are given: the optimal distribution of a homogeneous resource between several consumers, the optimal loading of vehicles, the optimal distribution of finances when choosing investment projects. To solve these problems, dynamic programming algorithms with rejecting unpromising paths, but without rejecting states, were previously proposed. The number of hopeless states that appear at various stages of dynamic programming and, accordingly, the effectiveness of the new algorithm depends on the specific numerical values of the source data. For the two-parameter problem of optimal loading of vehicles with weight and volume constraints, the results of comparative calculations by the R. Bellman algorithm and the new dynamic programming algorithm are presented. As a source of data for a series of calculations, pseudorandom numbers were used. As a result of the analysis, it was shown that the comparative efficiency of the algorithm with rejection of states increases with increasing dimension of the problem. So, in the problem of the optimal choice of items for loading a vehicle of a given carrying capacity with a number of items of 150, the number of memorized states and the counting time are reduced by 50 and 57 times, respectively, when using the new algorithm compared to the classical algorithm of R. Bellman. And for 15 items, the corresponding numbers are 13 and 4.
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33

Lopéz, Juan José Uchuya, and Raad Yahya Qassim. "An Optimal Redesign Approach for Optimal Global Supply Chain Redesign: Brazilian Soybean Grain Study." Business and Management Horizons 5, no. 2 (2017): 84. http://dx.doi.org/10.5296/bmh.v5i2.12284.

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Brazil and the United States are the leading soybean grain producing and exporting countries in the world. Although crop production cost is significantly lower in Brazil than in the United States due to more advanced crop production technology, this competitive advantage vanishes in view of the higher logistics costs in Brazil than in the United States, in view of the dominance of road transportation in Brazil, whilst river and rail transportation are prevalent in the United States. In order to regain its competitive advantage, there is a clear need for a redesign of the inland supply chain in Brazil through the use and expansion of existent inland waterways and rail networks. In this paper, an optimal supply chain redesign methodology is presented to achieve the aforesaid objective, with a focus on Mato Grosso which is the largest producer and exporting state in Brazil. This methodology is in fact applicable to multiply echelon global supply chains in general.
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34

Kolotilin, Anton, Timofiy Mylovanov, and Andriy Zapechelnyuk. "Censorship as optimal persuasion." Theoretical Economics 17, no. 2 (2022): 561–85. http://dx.doi.org/10.3982/te4071.

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We consider a Bayesian persuasion problem where a sender's utility depends only on the expected state. We show that upper censorship that pools the states above a cutoff and reveals the states below the cutoff is optimal for all prior distributions of the state if and only if the sender's marginal utility is quasi‐concave. Moreover, we show that it is optimal to reveal less information if the sender becomes more risk averse or the sender's utility shifts to the left. Finally, we apply our results to the problem of media censorship by a government.
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35

Sidhu, Jasminder S., Michael S. Bullock, Saikat Guha, and Cosmo Lupo. "Linear optics and photodetection achieve near-optimal unambiguous coherent state discrimination." Quantum 7 (May 31, 2023): 1025. http://dx.doi.org/10.22331/q-2023-05-31-1025.

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Coherent states of the quantum electromagnetic field, the quantum description of ideal laser light, are prime candidates as information carriers for optical communications. A large body of literature exists on their quantum-limited estimation and discrimination. However, very little is known about the practical realizations of receivers for unambiguous state discrimination (USD) of coherent states. Here we fill this gap and outline a theory of USD with receivers that are allowed to employ: passive multimode linear optics, phase-space displacements, auxiliary vacuum modes, and on-off photon detection. Our results indicate that, in some regimes, these currently-available optical components are typically sufficient to achieve near-optimal unambiguous discrimination of multiple, multimode coherent states.
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36

Chen, L., and Y. X. Chen. "Entanglement of formation from optimal decomposition." Quantum Information and Computation 8, no. 10 (2008): 965–76. http://dx.doi.org/10.26421/qic8.10-6.

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We present a new method of constructing sets of states with known entanglement of formation. The method realizes the optimal decomposition families of states. We also derive the additivity of the entanglement of formation and thus calculate the entanglement cost. These results are used to find out the undistillable entanglement of some states. We illustrate our method by investigating the two-qubit state, the separable state, the maximally correlated state, the isotropic state and the Werner state. We also discuss the realization of Werner state in experiment.
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37

Murzin, Petr D., Aida V. Rudakova, Alexei V. Emeline, and Detlef W. Bahnemann. "Effect of the Heterovalent Doping of TiO2 with Sc3+ and Nb5+ on the Defect Distribution and Photocatalytic Activity." Catalysts 12, no. 5 (2022): 484. http://dx.doi.org/10.3390/catal12050484.

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Two series of Sc3+- and Nb5+-doped TiO2 (rutile) samples were synthesized and characterized by SEM, ICPE spectroscopy, XPS, and BET methods. Photocatalytic activity of the doped TiO2 samples was tested in photocatalytic degradation of phenol. Dependences of the photocatalytic activities of the doped TiO2 samples demonstrate a volcano-like behavior, indicating the existence of the optimal dopant concentrations to achieve the highest activity of photocatalysts. Remarkably, the optimal dopant concentrations correspond to the extrema observed in work function dependences on the dopant concentrations, that indicates a significant energy redistribution of the defect states within the bandgap of TiO2. Such a redistribution of the defect states is also proven by the alterations of the optical and EPR spectra of the intrinsic Ti3+ defect states in TiO2. Based on the analysis of the experimental results, we conclude that both Sc3+ and Nb5+ doping of TiO2 results in redistribution of the defect states and the optimal dopant concentrations correspond to the defect structures, which are ineffective in charge carrier recombination, that ultimately leads to the higher photocatalytic activity of doped TiO2.
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38

Murzin, Petr D., Aida V. Rudakova, Alexei V. Emeline, and Detlef W. Bahnemann. "Effect of the Heterovalent Doping of TiO2 with Sc3+ and Nb5+ on the Defect Distribution and Photocatalytic Activity." Catalysts 12, no. 5 (2022): 484. http://dx.doi.org/10.3390/catal12050484.

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Two series of Sc3+- and Nb5+-doped TiO2 (rutile) samples were synthesized and characterized by SEM, ICPE spectroscopy, XPS, and BET methods. Photocatalytic activity of the doped TiO2 samples was tested in photocatalytic degradation of phenol. Dependences of the photocatalytic activities of the doped TiO2 samples demonstrate a volcano-like behavior, indicating the existence of the optimal dopant concentrations to achieve the highest activity of photocatalysts. Remarkably, the optimal dopant concentrations correspond to the extrema observed in work function dependences on the dopant concentrations, that indicates a significant energy redistribution of the defect states within the bandgap of TiO2. Such a redistribution of the defect states is also proven by the alterations of the optical and EPR spectra of the intrinsic Ti3+ defect states in TiO2. Based on the analysis of the experimental results, we conclude that both Sc3+ and Nb5+ doping of TiO2 results in redistribution of the defect states and the optimal dopant concentrations correspond to the defect structures, which are ineffective in charge carrier recombination, that ultimately leads to the higher photocatalytic activity of doped TiO2.
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39

Murzin, Petr D., Aida V. Rudakova, Alexei V. Emeline, and Detlef W. Bahnemann. "Effect of the Heterovalent Doping of TiO2 with Sc3+ and Nb5+ on the Defect Distribution and Photocatalytic Activity." Catalysts 12, no. 5 (2022): 484. http://dx.doi.org/10.3390/catal12050484.

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Two series of Sc3+- and Nb5+-doped TiO2 (rutile) samples were synthesized and characterized by SEM, ICPE spectroscopy, XPS, and BET methods. Photocatalytic activity of the doped TiO2 samples was tested in photocatalytic degradation of phenol. Dependences of the photocatalytic activities of the doped TiO2 samples demonstrate a volcano-like behavior, indicating the existence of the optimal dopant concentrations to achieve the highest activity of photocatalysts. Remarkably, the optimal dopant concentrations correspond to the extrema observed in work function dependences on the dopant concentrations, that indicates a significant energy redistribution of the defect states within the bandgap of TiO2. Such a redistribution of the defect states is also proven by the alterations of the optical and EPR spectra of the intrinsic Ti3+ defect states in TiO2. Based on the analysis of the experimental results, we conclude that both Sc3+ and Nb5+ doping of TiO2 results in redistribution of the defect states and the optimal dopant concentrations correspond to the defect structures, which are ineffective in charge carrier recombination, that ultimately leads to the higher photocatalytic activity of doped TiO2.
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40

Farahani, Abolfazl Varvani, Mohsen Montazeri, and Mahdi Pourgholi. "Robust optimal decentralized observer for multi-phase flow measurement." Transactions of the Institute of Measurement and Control 42, no. 4 (2019): 904–16. http://dx.doi.org/10.1177/0142331219884807.

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In this paper, a non-fragile optimal observer is proposed for the decentralized multiphase flow measurement based on the interconnections between the two subsystems, that is, gas and liquid, constituting the whole system. Due to the dynamic model of system and presence of disturbances and slowly varying quantities, a non-fragile decentralized observer is designed and the states of the condensate and gas sub-systems were separately estimated. Lyapunov-based stability conditions are converted to linear matrix inequality (LMI) and observer gains are optimally selected from solution set such that the effect of the disturbance on the states’ estimation error becomes minimized. The estimation is conducted using the real-time measurements including lines pressures, single-phase gas flow, and single-phase liquid flow in the refinery outlet. To check the stability and performance of the system against the changes, the Lyapunov theory has been used. Finally, the estimation results are compared with real-world data from the industry showing the high accuracy of this method as the estimations were consistent with the operation data. In all stages, the investigations were based on the data collected from the actual process in the South Pars Gas Complex (SPGC), Iran. Additionally, the Extended Kalman Filter (EKF) based on the simplified drift flux model (DFM) was used to estimate the states then both methods’ results are compared and using the HYSYS simulator with the real process data, it is found that both observers are capable to identify the states with some differences in performance and DFM model is sufficient for estimation of parameters and states of the multiphase flow entering the gas refinery. As a result, these techniques not only can be substituted for the existing system at the gas refinery, but also can be as a backup for available measurement systems.
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41

REZAEI, M., M. R. REZAPOUR, and M. A. FASIHI. "OPTIMAL UNAMBIGUOUS DISCRIMINATION OF TWO FINITE-DIMENSIONAL COHERENT STATES." International Journal of Quantum Information 07, no. 02 (2009): 517–28. http://dx.doi.org/10.1142/s0219749909005195.

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An exact analytical solution to the optimal unambiguous state discrimination involving two finite-dimensional coherent states that occur with given prior probabilities is presented using the Lewenstein–Sanpera decomposition method. Furthermore, a numerical method is advised for efficient solving of the unambiguous state discrimination of the two finite-dimensional coherent states with the same dimensions. In this manner, it is shown that the maximum success rate for the unambiguous states discrimination of the two finite-dimensional coherent states with the arbitrary prior probability is decreased by increasing the dimensionality of the finite-dimensional coherent states. Also, the success rate for the unambiguous states discrimination of the two coherent states satisfies the upper bound proportional to the fidelity of the states for a given prior probability.
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42

Hall, David, Alon Cohen, David Burkett, and Dan Klein. "Faster Optimal Planning with Partial-Order Pruning." Proceedings of the International Conference on Automated Planning and Scheduling 23 (June 2, 2013): 100–108. http://dx.doi.org/10.1609/icaps.v23i1.13562.

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When planning problems have many kinds of resources or high concurrency, each optimal state has exponentially many minor variants, some of which are "better" than others. Standard methods like \Astar cannot effectively exploit these minor relative differences, and therefore must explore many redundant, clearly suboptimal plans. We describe a new optimal search algorithm for planning that leverages a partial order relation between states. Under suitable conditions, states that are dominated by other states with respect to this order can be pruned while provably maintaining optimality. We also describe a simple method for automatically discovering compatible partial orders in both serial and concurrent domains. In our experiments we find that more than 98% of search states can be pruned in some domains.
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43

Paulson, K. G., and S. V. M. Satyanarayana. "Relevance of rank for a mixed state quantum teleportation resource." Quantum Information and Computation 14, no. 13&14 (2014): 1227–37. http://dx.doi.org/10.26421/qic14.13-14-12.

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Mixed entangled states are generic resource for quantum teleportation. Optimal teleportation fidelity measures the success of quantum teleportation. The relevance of rank in the teleportation process is investigated by constructing three new maximally entangled mixed states (MEMS) of different ranks. Linear entropy, concurrence, optimal teleportation fidelity and Bell function are obtained for each of these states analytically. It is found that mixed states with higher rank are better resource for teleportation. In order to achieve a fixed value of optimal teleportation fidelity, we find that low rank states must have high concurrence. Further, for each of ranks 2, 3 and 4, we numerically generate 30000 maximally entangled mixed states. The analysis of these states reveals the existence of a rank dependent upper bound on optimal teleportation fidelity for a fixed purity. In order to achieve a fixed optimal teleportation fidelity, we find MEMS exhibit a rank dependent lower bound on concurrence. MEMS are classified in terms of their degree of nonlocality. The results are found to be same with logarithmic negativity used as a measure of entanglement.
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44

Du, Shuanping, Zhaofang Bai, and Xiaofei Qi. "Coherence measures and optimal conversion for coherent states." Quantum Information and Computation 15, no. 15&16 (2015): 1307–16. http://dx.doi.org/10.26421/qic15.15-16-3.

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We discuss a general strategy to construct coherence measures. One can build an important class of coherence measures which cover the relative entropy measure for pure states, the l1-norm measure for pure states and the α-entropy measure. The optimal conversion of coherent states under incoherent operations is presented which sheds some light on the coherence of a single copy of a pure state.
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45

Bruß, Dagmar, and Chiara Macchiavello. "Optimal cloning for two pairs of orthogonal states." Journal of Physics A: Mathematical and General 34, no. 35 (2001): 6815–19. http://dx.doi.org/10.1088/0305-4470/34/35/307.

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46

Shackerley-Bennett, Uther, Alberto Carlini, Vittorio Giovannetti, and Alessio Serafini. "Locally optimal symplectic control of multimode Gaussian states." Quantum Science and Technology 2, no. 4 (2017): 044014. http://dx.doi.org/10.1088/2058-9565/aa8883.

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47

Zulkowski, Patrick R., David A. Sivak, and Michael R. DeWeese. "Optimal Control of Transitions between Nonequilibrium Steady States." PLoS ONE 8, no. 12 (2013): e82754. http://dx.doi.org/10.1371/journal.pone.0082754.

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48

Luo, Shunlong, Siting Tang, and Yue Zhang. "Optimal circular states." Journal of Physics A: Mathematical and Theoretical, October 16, 2024. http://dx.doi.org/10.1088/1751-8121/ad8792.

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Abstract In quantum optics, superpositions of coherent states, such as Schr"odinger cat states and compass states, and more generally, circular states, have attracted widespread attention due to their nice properties and significant applications. Concerning circular states, a natural question arises as what are the optimal parameters in these states for maximally achieving certain specified quantum features such as average photon number and nonclassicality. It turns out this issue is highly nontrivial and subtle. In this work, we investigate optimal circular states for average photon number, and determine the optimal parameters by a combination of theoretical and numerical methods. In particular, we establish several analytical results and also some rather detailed numerical results. We tabulate some numerical results, which may be useful in both theoretical and experimental studies of superpositions of coherent states.
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Wittmann, Christoffer, Masahiro Takeoka, Katiúscia N. Cassemiro, Masahide Sasaki, Gerd Leuchs, and Ulrik L. Andersen. "Demonstration of Near-Optimal Discrimination of Optical Coherent States." Physical Review Letters 101, no. 21 (2008). http://dx.doi.org/10.1103/physrevlett.101.210501.

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Dangniam, Ninnat, Yun-Guang Han, and Huangjun Zhu. "Optimal verification of stabilizer states." Physical Review Research 2, no. 4 (2020). http://dx.doi.org/10.1103/physrevresearch.2.043323.

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