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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Experimental quantum communication complexity
Pavel Trojek,Christian Schmid,Mohamed Bourennane,Časlav Brukner,Marek Żukowski,Harald Weinfurter +5 more
TL;DR: It is proved that by communicating N-1 times a single qubit, instead of N1-1 classical bits, the success probability for solving some partner communication complexity tasks is strongly enhanced, and the superiority of the quantum scheme grows exponentially with N.
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Activating bound entanglement in multiparticle systems
Wolfgang Dür,J. I. Cirac +1 more
TL;DR: In this article, the existence of activable bound entangled states in multiparticle systems was analyzed and necessary conditions for a state to be distillable as well as to be activable were derived.
Journal ArticleDOI
Bound Entanglement and Continuous Variables
TL;DR: It is pointed out that the "entanglement witnesses" and positive maps revealing the corresponding bound entanglement can easily be constructed and a new many parameter family of bound entangled states with positive partial transpose is obtained.
Journal ArticleDOI
Comment on “Quantum dense key distribution”
TL;DR: In this article, the authors question the security of the recently proposed scheme of a quantum dense key distribution by Degiovanni et al. and propose a new scheme based on a quantum key distribution scheme.
Journal ArticleDOI
Bounds on entanglement in qudit subsystems
TL;DR: In this article, the authors examined the entanglement in the space of mixed states of m qudits and showed that for a typical pure state of n qudit, its subsystems smaller than $N/3$ will have a positive partial transposition and hence are separable or bound entangled.