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Entropy Production in Quantum is Different

Authors: Mohammad H. Ansari; Alwin van Steensel; Yuli V. Nazarov;

Entropy Production in Quantum is Different

Abstract

Currently, ‘time’ does not play any essential role in quantum information theory. In this sense, quantum information theory is underdeveloped similarly to how quantum physics was underdeveloped before Erwin Schrödinger introduced his famous equation for the evolution of a quantum wave function. In this review article, we cope with the problem of time for one of the central quantities in quantum information theory: entropy. Recently, a replica trick formalism, the so-called ‘multiple parallel world’ formalism, has been proposed that revolutionizes entropy evaluation for quantum systems. This formalism is one of the first attempts to introduce ‘time’ in quantum information theory. With the total entropy being conserved in a closed system, entropy can flow internally between subsystems; however, we show that this flow is not limited only to physical correlations as the literature suggest. The nonlinear dependence of entropy on the density matrix introduces new types of correlations with no analogue in physical quantities. Evolving a number of replicas simultaneously makes it possible for them to exchange particles between different replicas. We will summarize some of the recent news about entropy in some example quantum devices. Moreover, we take a quick look at a new correspondence that was recently proposed that provides an interesting link between quantum information theory and quantum physics. The mere existence of such a correspondence allows for exploring new physical phenomena as the result of controlling entanglement in a quantum device.

Countries
Netherlands, Germany
Keywords

Quantum Physics, Quantum information, Time evolution, Condensed Matter - Mesoscale and Nanoscale Physics, Science, Physics, QC1-999, Q, FOS: Physical sciences, Review, Astrophysics, entropy production, Entropy production, QB460-466, Renyi entropy, quantum information, quantum thermodynamics, Mesoscale and Nanoscale Physics (cond-mat.mes-hall), time evolution, 190, Quantum Physics (quant-ph), Quantum thermodynamics, info:eu-repo/classification/ddc/510

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This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
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popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
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impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
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