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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Beyond heat baths II: Framework for generalized thermodynamic resource theories
TL;DR: In this article, an umbrella family of thermodynamic resource theories was proposed to model diverse baths, interactions, and free energies, and how to model electrochemical, gravitational, magnetic, and other thermodynamic systems.
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Quantum entanglement and quantum discord in magnetoactive materials (Review Article)
TL;DR: In this article, the authors review the concepts of quantum entanglement and quantum discord and present the entropic measures for these information correlations and provide examples demonstrating the presence of quantum information correlations in different paramagnetic materials with ferro- and antiferromagnetic coupling.
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Multipartite Entanglement Detection with Minimal Effort
Lukas Knips,Lukas Knips,Christian Schwemmer,Christian Schwemmer,Nico Klein,Nico Klein,Marcin Wieśniak,Harald Weinfurter,Harald Weinfurter +8 more
TL;DR: This work introduces a general scheme to construct efficient witnesses requiring a constant number of measurements independent of the number of qubits for states like, e.g., Greenberger-Horne-Zeilinger states, cluster states, and Dicke states and proves genuine four-partite entanglement with two measurement settings only.
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Nonlocal advantage of quantum coherence in high-dimensional states
Ming-Liang Hu,Heng Fan +1 more
TL;DR: In this paper, the authors generalized the framework of quantum coherence for two qubits and derived the criteria which capture NAQC in the ($d\ifmmode\times\else\texttimes\fi{}d$)-dimensional states when $d$ is a power of a prime.
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Single-copy entanglement detection
TL;DR: A method for entanglement detection that requires only single copies of multi-partite quantum states, based on the success probability of a suitably designed experimental run, which is exponentially suppressed in the system size for separable states, making it useful for future applications based on large entangled states.
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.
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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.
Journal ArticleDOI
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.