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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A New Spin on Neural Processing: Quantum Cognition.
TL;DR: There is increasing evidence that quantum mechanics is important for understanding some biological phenomena, such as energy transfer in photosynthesis, navigation by birds using the earth's magnetic field, and electron and hydrogen tunneling in biochemical reactions.
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Pseudo-entanglement evaluated in noninertial frames
TL;DR: In this paper, the authors studied the quantum discord of bipartite pseudo-entanglement in noninertial frames and found that the entanglement degrades from its maximum value in a stationary frame to a minimum value in an infinite accelerating frame.
Journal ArticleDOI
Quantum entanglement in physical and cognitive systems: A conceptual analysis and a general representation
Diederik Aerts,J. Aerts Arguëlles,Lyneth Beltran,Suzette Geriente,M. Sassoli de Bianchi,Sandro Sozzo,Tomas Veloz +6 more
TL;DR: The phenomenon of entanglement in bipartite systems is provided, as it manifests in micro and macro physical systems, as well as in human cognitive processes, by observing that when genuine coincidence measurements are considered, the violation of the ‘marginal laws’ is to be expected.
Journal ArticleDOI
The geometric approach to quantum correlations: Computability versus reliability
TL;DR: In this paper, a modified metric based on the Hilbert-Schmidt norm is proposed to define a rescaled version of the geometric measure of quantum discord, which does not suffer from the pathological dependence on state purity.
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A composite parameterization of unitary groups, density matrices and subspaces
TL;DR: In this article, the authors presented a parameterization of the unitary group of arbitrary dimension $d$ which is constructed in a composite way, and showed explicitly how any element of this group can be composed of matrix exponential functions of generalized anti-symmetric $\sigma$-matrices and one-dimensional projectors.
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.
Journal ArticleDOI
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.
Journal ArticleDOI
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.
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.