Relevant bibliographies by topics / Quantum phase transitions, Entanglement, Information theory

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  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers

Academic literature on the topic 'Quantum phase transitions, Entanglement, Information theory'

Author: Grafiati
Published: 10 March 2023
Last updated: 31 July 2025

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Journal articles on the topic "Quantum phase transitions, Entanglement, Information theory"

1

Zhuang, Min, Jiahao Huang, and Chaohong Lee. "Entanglement-enhanced test proposal for local Lorentz-symmetry violation via spinor atoms." Quantum 6 (November 14, 2022): 859. http://dx.doi.org/10.22331/q-2022-11-14-859.

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Invariance under Lorentz transformations is fundamental to both the standard model and general relativity. Testing Lorentz-symmetry violation (LSV) via atomic systems attracts extensive interests in both theory and experiment. In several test proposals, the LSV violation effects are described as a local interaction and the corresponding test precision can asymptotically reach the Heisenberg limit via increasing quantum Fisher information (QFI), but the limited resolution of collective observables prevents the detection of large QFI. Here, we propose a multimode many-body quantum interferometry
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Sugino, Fumihiko, and Vladimir Korepin. "Rényi entropy of highly entangled spin chains." International Journal of Modern Physics B 32, no. 28 (2018): 1850306. http://dx.doi.org/10.1142/s021797921850306x.

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Entanglement is one of the most intriguing features of quantum theory and a main resource in quantum information science. Ground states of quantum many-body systems with local interactions typically obey an “area law” which means that the entanglement entropy is proportional to the boundary length. It is exceptional when the system is gapless, and the area law had been believed to be violated by at most a logarithm over two decades. Recent discovery of Motzkin and Fredkin spin chain models is striking, since these models provide significant violation of the entanglement beyond the belief, grow
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Biercuk, M. J., H. Uys, A. P. VanDevender, N. Shiga, W. M. Itano, and J. J. Bollinger. "High-fidelity quantum control using ion crystals in a Penning trap." Quantum Information and Computation 9, no. 11&12 (2009): 920–49. http://dx.doi.org/10.26421/qic9.11-12-2.

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We provide an introduction to the use of ion crystals in a Penning trap for experiments in quantum information. Macroscopic Penning traps allow for the containment of a few to a few million atomic ions whose internal states may be used in quantum information experiments. Ions are laser Doppler cooled, and the mutual Coulomb repulsion of the ions leads to the formation of crystalline arrays. The structure and dimensionality of the resulting ion crystals may be tuned using a combination of control laser beams and external potentials. We discuss the use of two-dimensional $^{9}$Be$^{+}$ ion cryst
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Subrahmanyam, V. "Macroscopic multispecies entanglement near quantum phase transitions." Quantum Information and Computation 11, no. 1&2 (2011): 1–7. http://dx.doi.org/10.26421/qic11.1-2-1.

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Multi-Species entanglement, defined for a many-particle system as the entanglement between different species of particles, is shown to exist in the thermodynamic limit of the system size going to infinity. This macroscopic entanglement, as it can exhibit singular behavior, is capable of tracking quantum phase transitions. The entanglement between up and down spins has been analytically calculated for the one-dimensional Ising model in a transverse magnetic field. As the coupling strength is varied, the first derivative of the entanglement shows a jump discontinuity and the second derivative di
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An, Zheng, Chenfeng Cao, Cheng-Qian Xu, and D. L. Zhou. "Learning quantum phases via single-qubit disentanglement." Quantum 8 (July 22, 2024): 1421. http://dx.doi.org/10.22331/q-2024-07-22-1421.

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Identifying phases of matter presents considerable challenges, particularly within the domain of quantum theory, where the complexity of ground states appears to increase exponentially with system size. Quantum many-body systems exhibit an array of complex entanglement structures spanning distinct phases. Although extensive research has explored the relationship between quantum phase transitions and quantum entanglement, establishing a direct, pragmatic connection between them remains a critical challenge. In this work, we present a novel and efficient quantum phase transition classifier, util
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Hoke, J. C., M. Ippoliti, E. Rosenberg, et al. "Measurement-induced entanglement and teleportation on a noisy quantum processor." Nature 622, no. 7983 (2023): 481–86. http://dx.doi.org/10.1038/s41586-023-06505-7.

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AbstractMeasurement has a special role in quantum theory1: by collapsing the wavefunction, it can enable phenomena such as teleportation2 and thereby alter the ‘arrow of time’ that constrains unitary evolution. When integrated in many-body dynamics, measurements can lead to emergent patterns of quantum information in space–time3–10 that go beyond the established paradigms for characterizing phases, either in or out of equilibrium11–13. For present-day noisy intermediate-scale quantum (NISQ) processors14, the experimental realization of such physics can be problematic because of hardware limita
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Latorre, J. I., E. Rico, and G. Vidal. "Ground state entanglement in quantum spin chains." Quantum Information and Computation 4, no. 1 (2004): 48–92. http://dx.doi.org/10.26421/qic4.1-4.

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A microscopic calculation of ground state entanglement for the XY and Heisenberg models shows the emergence of universal scaling behavior at quantum phase transitions. Entanglement is thus controlled by conformal symmetry. Away from the critical point, entanglement gets saturated by a mass scale. Results borrowed from conformal field theory imply irreversibility of entanglement loss along renormalization group trajectories. Entanglement does not saturate in higher dimensions which appears to limit the success of the density matrix renormalization group technique. A possible connection between
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ERYIĞIT, RECEP, RESUL ERYIĞIT, and YIĞIT GÜNDÜÇ. "QUANTUM PHASE TRANSITIONS AND ENTANGLEMENT IN J1–J2 MODEL." International Journal of Modern Physics C 15, no. 08 (2004): 1095–103. http://dx.doi.org/10.1142/s0129183104006558.

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We study ground state pairwise entanglement within one-dimensional spin-1/2 antiferromagnetic J1–J2 model with competing interactions. Contrary to some claims we found that frustration does not increase entanglement. Concurrence of nearest and next nearest neighbors are found to show abrupt change at phase transition points. We also show that the concurrence can be used to classify the phase diagram of the model in anisotropy–frustration plane.
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Zhang, Zhao, Amr Ahmadain, and Israel Klich. "Novel quantum phase transition from bounded to extensive entanglement." Proceedings of the National Academy of Sciences 114, no. 20 (2017): 5142–46. http://dx.doi.org/10.1073/pnas.1702029114.

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The nature of entanglement in many-body systems is a focus of intense research with the observation that entanglement holds interesting information about quantum correlations in large systems and their relation to phase transitions. In particular, it is well known that although generic, many-body states have large, extensive entropy, ground states of reasonable local Hamiltonians carry much smaller entropy, often associated with the boundary length through the so-called area law. Here we introduce a continuous family of frustration-free Hamiltonians with exactly solvable ground states and unco
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Wang, Lihua, and Sung Gong Chung. "Entanglement perturbation theory for infinite quasi-1D quantum systems." International Journal of Modern Physics B 29, no. 07 (2015): 1550042. http://dx.doi.org/10.1142/s0217979215500423.

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We develop entanglement perturbation theory (EPT) for infinite Quasi-1D quantum systems. The spin-1/2 Heisenberg chain with ferromagnetic nearest neighbor (NN) and antiferromagnetic next nearest neighbor (NNN) interactions with an easy-plane anisotropy is studied as a prototypical system. The obtained phase diagram is compared with a recent prediction [Phys. Rev. B 81, 094430 (2010)] that dimer and Néel orders appear alternately as the XXZ anisotropy Δ approaches the isotropic limit Δ = 1. The first and second transitions (across dimer, Néel and dimer phases) are detected with improved accurac
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Dissertations / Theses on the topic "Quantum phase transitions, Entanglement, Information theory"

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Orús, Lacort Román. "Entanglement, quantum phase transitions and quantum algorithms." Doctoral thesis, Universitat de Barcelona, 2006. http://hdl.handle.net/10803/482202.

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From the seminal ideas of Feynman and until now, quantum information and computation has been a rapidly evolving field. While at the beginning, physicists looked at quantum mechanics as a theoretical framework to describe the fundamental processes that take place in Nature, it was during the 80’s and 90’s that people began to think about the intrinsic quantum behavior of our world as a tool to eventually develop powerful information technologies. As Landauer pointed out, information is physical, so it should not look strange to try to bring together quantum mechanics and information theory. I
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Hines, Andrew Peter. "Entanglement, dynamical bifurcations and quantum phase transitions /." [St. Lucia, Qld.], 2005. http://www.library.uq.edu.au/pdfserve.php?image=thesisabs/absthe19792.pdf.

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Gunhan, Ali Can. "Environmental Effects On Quantum Geometric Phase And Quantum Entanglement." Phd thesis, METU, 2008. http://etd.lib.metu.edu.tr/upload/3/12609450/index.pdf.

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We investigate the geometric phase (GP) acquired by the states of a spin-1/2 nucleus which is subject to a static magnetic field. This nucleus as the carrier system of GP, is taken as coupled to a dissipative environment, so that it evolves non-unitarily. We study the effects of different characteristics of different environments on GP as nucleus evolves in time. We showed that magnetic field strength is the primary physical parameter that determines the stability of GP<br>its stability decreases as the magnetic field strength increases. (By decrease in stability what we mean is the increase i
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De, Chiara Gabriele. "Quantum information, entanglement and critical phenomena." Doctoral thesis, Scuola Normale Superiore, 2006. http://hdl.handle.net/11384/85888.

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Stephan, Jean-Marie. "Intrication dans des systèmes quantiques à basse dimension." Thesis, Paris 11, 2011. http://www.theses.fr/2011PA112308.

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On a compris ces dernières années que certaines mesures d'intrications sont un outil efficace pour la compréhension et la caractérisation de phases nouvelles et exotiques de la matière, en particulier lorsque les méthodes traditionnelles basées sur l'identification d'un paramètre d'ordre sont insuffisantes. Cette thèse porte sur l'étude de quelques systèmes quantiques à basse dimension où un telle approche s'avère fructueuse. Parmi ces mesures, l'entropie d'intrication, définie via une bipartition du système quantique, est probablement la plus populaire, surtout à une dimension. Celle-ci est h
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Albouy, Olivier. "Discrete algebra and geometry applied to the Pauli group and mutually unbiased bases in quantum information theory." Phd thesis, Université Claude Bernard - Lyon I, 2009. http://tel.archives-ouvertes.fr/tel-00612229.

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Pour d non puissance d'un nombre premier, le nombre maximal de bases deux à deux décorrélées d'un espace de Hilbert de dimension d n'est pas encore connu. Dans ce mémoire, nous commençons par donner une construction de bases décorrélées en lien avec une famille de représentations irréductibles de l'algèbre de Lie su(2) et faisant appel aux sommes de Gauss.Puis nous étudions de façon systématique la possibilité de construire de telle bases au moyen des opérateurs de Pauli. 1) L'étude de la droite projective sur Zdm montre que, pour obtenir des ensembles maximaux de bases décorrélées à l'aide d'
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Garcia-Patron, Sanchez Raul. "Quantum information with optical continuous variables: from Bell tests to key distribution." Doctoral thesis, Universite Libre de Bruxelles, 2007. http://hdl.handle.net/2013/ULB-DIPOT:oai:dipot.ulb.ac.be:2013/210655.

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In this thesis we have studied different aspects of the novel field of quantum information with continuous variables. The higher efficiency and bandwidth of homodyne detection combined with the easiness of generation and manipulation of Gaussian states makes continuous-variable quantum information a promising and flourishing field of research. This dissertation is divided in two parts. The first part explores two applications of the “photon subtraction” operation; Firstly, a technique to generate highly non-Gaussian single-mode states of light; Secondly, an experimental setup capable of realiz
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Collura, Mario. "Aspects hors de l'équilibre de systèmes quantiques unidimensionnels fortement corrélés." Thesis, Université de Lorraine, 2012. http://www.theses.fr/2012LORR0009/document.

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Dans cette thèse, nous avons répondu à certaines questions ouverts dans le domaine de la dynamique hors équilibre des systèmes quantiques unidimensionnels fermés. Durant ces dernières années, les avancées dans les techniques expérimentales ont revitalisé la recherche théorique en physique de la matière condensée et dans l'optique quantique. Nous avons traité trois sujets différents et en utilisant des techniques à la fois numériques et analytiques. Dans le cadre des techniques numériques, nous avons utilisé des méthodes de diagonalisation exacte, l'algorithme du groupe de renormalisation de la
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GABBRIELLI, MARCO. "Multipartite entanglement in quantum phase transitions." Doctoral thesis, 2018. http://hdl.handle.net/2158/1118989.

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Quantum phase transitions are collective phenomena that take place in large interacting many-body systems when tuning a nonthermal control parameter across a critical value. They occur at zero temperature, driven by genuinely quantum fluctuations, and manifest as a qualitative change in the structure (symmetry or topology) of the ground state due to the competition between incompatible terms in the many-body Hamiltonian describing the system. A rich variety of signatures flags the presence of the quantum critical point, ranging from the singular behaviour in some properties of the low-lying sp
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Books on the topic "Quantum phase transitions, Entanglement, Information theory"

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Entanglement Between Noncomplementary Parts Of Manybody Systems. Springer, 2011.

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Wichterich, Hannu Christian. Entanglement Between Noncomplementary Parts of Many-Body Systems. Springer Berlin / Heidelberg, 2013.

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Wichterich, Hannu Christian. Entanglement Between Noncomplementary Parts of Many-Body Systems. Springer, 2011.

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Wichterich, Hannu Christian. Entanglement Between Noncomplementary Parts of Many-Body Systems. Springer, 2011.

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An Introduction To Quantum Spin Systems. Springer, 2010.

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6

Chakrabarti, Bikas K., Arnab Das, and Anjan Kumar Chandra. Quantum Quenching, Annealing and Computation. Springer, 2011.

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Quantum quenching, annealing and computation. Springer, 2010.

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8

Sethna, James P. Statistical Mechanics: Entropy, Order Parameters, and Complexity. 2nd ed. Oxford University Press, 2021. http://dx.doi.org/10.1093/oso/9780198865247.001.0001.

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This text distills the core ideas of statistical mechanics to make room for new advances important to information theory, complexity, active matter, and dynamical systems. Chapters address random walks, equilibrium systems, entropy, free energies, quantum systems, calculation and computation, order parameters and topological defects, correlations and linear response theory, and abrupt and continuous phase transitions. Exercises explore the enormous range of phenomena where statistical mechanics provides essential insight — from card shuffling to how cells avoid errors when copying DNA, from th
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Book chapters on the topic "Quantum phase transitions, Entanglement, Information theory"

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Bertlmann, Reinhold A., and Nicolai Friis. "Quantum States of Light." In Modern Quantum Theory. Oxford University PressOxford, 2023. http://dx.doi.org/10.1093/oso/9780199683338.003.0025.

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Abstract In this chapter we collect a number of key elements of quantum optics relevant for quantum information theory. We begin by discussing the quantization of the electromagnetic field in terms of harmonic oscillators with ladder operators and the corresponding Fock space. Based on this description we introduce Glauber’s coherent states and examine their properties as proper quantum analogues of the classical harmonic oscillator. We then study the description of states of light in a quantum-mechanical phase space by employing quasi-probability distributions such as the Wigner function. Wit
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Obikhod, Tetiana. "THEORETICAL ASPECTS AND EXPERIMENTAL SEARCHES FOR PHYSICS BEYOND THE STANDARD MODEL." In Traditional and innovative scientific research: domestic and foreign experience. Publishing House “Baltija Publishing”, 2024. http://dx.doi.org/10.30525/978-9934-26-436-8-5.

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The application of continuous and discrete groups to the theory of nuclei, elementary particles, in the theoretical physics of high energies leads to the need of systematization of knowledge and methods to obtain new information about phase transitions at high energies. Attempts to find a theory of the experiment on the scale of QCD led to the discovery of String Theory. The development of superstring theory as applied to cosmology led to the concept of the "Universe on brane". D-brane theory asserts that gravity and quantum mechanics are integral principles of the construction of the Universe
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Conference papers on the topic "Quantum phase transitions, Entanglement, Information theory"

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Facchi, P., U. Marzolino, G. Parisi, S. Pascazio, and A. Scardicchio. "Phase transitions of bipartite entanglement." In International Conference on Quantum Information. OSA, 2008. http://dx.doi.org/10.1364/icqi.2008.qtua2.

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