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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Quantum entanglement in condensed matter systems
TL;DR: In this paper, the authors focus on the field of quantum entanglement applied to condensed matter physics systems with strong correlations, a domain which has rapidly grown over the last decade.
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Quantum hyperentanglement and its applications in quantum information processing
TL;DR: A review of the progress achieved so far in the field of hyperentanglement in photon systems and some of its important applications in quantum information processing can be found in this article.
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Testing nonclassicality in multimode fields: A unified derivation of classical inequalities
TL;DR: In this article, a way to generate operational inequalities to test nonclassicality (or quantumness) of multimode bosonic fields (or multiparty bosonic systems) that unifies the derivation of many known inequalities and allows to propose new ones is proposed.
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Exploiting chemistry and molecular systems for quantum information science
Michael R. Wasielewski,Malcolm D. E. Forbes,Natia L. Frank,Karol Kowalski,Gregory D. Scholes,Joel Yuen-Zhou,Marc A. Baldo,Danna E. Freedman,Randall H. Goldsmith,Theodore Goodson,Martin L. Kirk,James K. McCusker,Jennifer P. Ogilvie,David A. Shultz,Stefan Stoll,K. Birgitta Whaley +15 more
TL;DR: In this paper, the authors discuss how chemical systems and reactions can impact quantum computing, communication and sensing, and propose a broad range of possibilities to realize practical quantum information science applications.
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Faithful Squashed Entanglement
TL;DR: This paper presents a lower bound for squashed entanglement in terms of a distance to the set of separable states, and shows that multiple provers are not more powerful than a single prover when the verifier is restricted to LOCC operations thereby providing a new characterisation of the complexity class QMA.
References
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Can Quantum-Mechanical Description of Physical Reality Be Considered Complete?
TL;DR: Consideration of the problem of making predictions concerning a system on the basis of measurements made on another system that had previously interacted with it leads to the result that one is led to conclude that the description of reality as given by a wave function is not complete.
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Teleporting an unknown quantum state via dual classical and Einstein-Podolsky-Rosen channels
Charles H. Bennett,Gilles Brassard,Claude Crépeau,Richard Jozsa,Asher Peres,William K. Wootters +5 more
TL;DR: An unknown quantum state \ensuremath{\Vert}\ensure Math{\varphi}〉 can be disassembled into, then later reconstructed from, purely classical information and purely nonclassical Einstein-Podolsky-Rosen (EPR) correlations.
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Quantum cryptography based on Bell's theorem.
TL;DR: Practical application of the generalized Bells theorem in the so-called key distribution process in cryptography is reported, based on the Bohms version of the Einstein-Podolsky-Rosen gedanken experiment andBells theorem is used to test for eavesdropping.
Journal ArticleDOI
Simulating physics with computers
TL;DR: In this paper, the authors describe the possibility of simulating physics in the classical approximation, a thing which is usually described by local differential equations, and the possibility that there is to be an exact simulation, that the computer will do exactly the same as nature.
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The wire-tap channel
TL;DR: This paper finds the trade-off curve between R and d, assuming essentially perfect (“error-free”) transmission, and implies that there exists a Cs > 0, such that reliable transmission at rates up to Cs is possible in approximately perfect secrecy.