Quantum entanglement
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TLDR
In this article, the basic aspects of entanglement including its characterization, detection, distillation, and quantification are discussed, and a basic role of entonglement in quantum communication within distant labs paradigm is discussed.Abstract:
All our former experience with application of quantum theory seems to say:
{\it what is predicted by quantum formalism must occur in laboratory} But the
essence of quantum formalism - entanglement, recognized by Einstein, Podolsky,
Rosen and Schr\"odinger - waited over 70 years to enter to laboratories as a
new resource as real as energy This holistic property of compound quantum systems, which involves
nonclassical correlations between subsystems, is a potential for many quantum
processes, including ``canonical'' ones: quantum cryptography, quantum
teleportation and dense coding However, it appeared that this new resource is
very complex and difficult to detect Being usually fragile to environment, it
is robust against conceptual and mathematical tools, the task of which is to
decipher its rich structure This article reviews basic aspects of entanglement including its
characterization, detection, distillation and quantifying In particular, the
authors discuss various manifestations of entanglement via Bell inequalities,
entropic inequalities, entanglement witnesses, quantum cryptography and point
out some interrelations They also discuss a basic role of entanglement in
quantum communication within distant labs paradigm and stress some
peculiarities such as irreversibility of entanglement manipulations including
its extremal form - bound entanglement phenomenon A basic role of entanglement
witnesses in detection of entanglement is emphasizedread more
Citations
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Entanglement in many-body systems
TL;DR: In this article, the properties of entanglement in many-body systems are reviewed and both bipartite and multipartite entanglements are considered, and the zero and finite temperature properties of entangled states in interacting spin, fermion and boson model systems are discussed.
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Gaussian quantum information
Christian Weedbrook,Stefano Pirandola,Raúl García-Patrón,Nicolas J. Cerf,Timothy C. Ralph,Jeffrey H. Shapiro,Seth Lloyd +6 more
TL;DR: This review focuses on continuous-variable quantum information processes that rely on any combination of Gaussian states, Gaussian operations, and Gaussian measurements, including quantum communication, quantum cryptography, quantum computation, quantum teleportation, and quantum state and channel discrimination.
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Colloquium: Area laws for the entanglement entropy
TL;DR: In this paper, the current status of area laws in quantum many-body systems is reviewed and a significant proportion is devoted to the clear and quantitative connection between the entanglement content of states and the possibility of their efficient numerical simulation.
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The classical-quantum boundary for correlations: Discord and related measures
TL;DR: Different methods for quantifying the quantum and classical parts of correlations are among the more actively studied topics of quantum-information theory over the past decade as mentioned in this paper and different notions of classical and quantum correlations quantified by quantum discord and other related measures are reviewed.
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Multiphoton entanglement and interferometry
Jian-Wei Pan,Zeng-Bing Chen,Chao-Yang Lu,Harald Weinfurter,Anton Zeilinger,Marek Zukowski,Marek Zukowski +6 more
TL;DR: A review of the progress in photonic quantum information processing can be found in this article, where the emphasis is given to the creation of photonic entanglement of various forms, tests of the completeness of quantum mechanics (in particular, violations of local realism), quantum information protocols for quantum communication, and quantum computation with linear optics.
References
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Quantum gate arrays can be programmed to evaluate the expectation value of any operator
TL;DR: A special-purpose quantum circuit that can be programmed to evaluate the expectation value of any operator O acting on a space of states of N dimensions is described.
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Optimal decompositions of barely separable states
TL;DR: In this article, the authors studied two families of bipartite mixed quantum states and proved that the number of members in the optimal decomposition ensemble is greater than the rank of the mixed state.
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Multipartite Bound Information Exists and Can Be Activated
TL;DR: It is proved that bound information can be activated: three honest parties can distill a common secret key from different distributions having bound information, demonstrating that quantum information theory can provide useful insight for solving open problems in classical information theory.
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Measures of entanglement in multipartite bound entangled states
TL;DR: In this paper, the entanglement of two distinct multipartite bound entangled states is determined analytically in terms of a geometric measure of entonglement and a related quantity.
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Decoherence vs entanglement in coined quantum walks
Olivier Maloyer,Viv Kendon +1 more
TL;DR: In this article, the authors calculate numerically the entanglement between the coin and the position of the quantum walker and show that the optimal decoherence rates are such that all the entonglement is just removed by the time the final measurement is made.