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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Journal ArticleDOI
Experimental detection of entanglement via witness operators and local measurements
Otfried Guehne,Philipp Hyllus,D. Bruss,Artur Ekert,Maciej Lewenstein,Chiara Macchiavello,Anna Sanpera +6 more
TL;DR: In this article, the problem of detection of entanglement using only few local measurements when some knowledge about the state is given is addressed, based on an optimized decomposition of witness operators into local operators.
Journal ArticleDOI
Multipartite entanglement in 2x2xn quantum systems
Akimasa Miyake,Frank Verstraete +1 more
TL;DR: In this paper, the authors classify multipartite entangled states in the Hilbert space H = C{sup 2}xC{sup n 2]c{sup c 2]xC c 2}c c n 2 c n n under local filtering operations, giving rise to a five graded partially ordered structure.
Journal ArticleDOI
Violations of local realism with quantum systems described by N -dimensional Hilbert spaces up to N = 16
TL;DR: In this article, it was shown that for two quantum systems described by N-dimensional Hilbert spaces (quNits) in a maximally entangled state, the minimal admixture of noise increases monotonically with N. The results are a direct extension of those of Kaszlikowski et al. [Phys. Rev. Lett. 85, 4418 (2000)], where results for $Nl~9$ were presented.
Journal ArticleDOI
Low-Dimensional Bound Entanglement With One-Way Distillable Cryptographic Key
TL;DR: The smallest state of this kind is 4 otimes 4, which shows that peculiar security contained in bound entangled states does not need high-dimensional systems and proposed set of seven collective settings is proven to be optimal in number of settings.
Journal ArticleDOI
Deterministic dense coding with partially entangled states
TL;DR: Numerically find that the maximal alphabet size is any integer in the range of $[d,{d}^{2}]$ with the possible exception of ${d]^{2}\ensuremath{-}1$.