Entropy production in quantum is different

Ansari, Mohammad H.; van Steensel, Alwin; Nazarov, Y.V.

doi:10.3390/e21090854

Entropy production in quantum is different

Title

Entropy production in quantum is different

Author

Ansari, Mohammad H. (Forschungszentrum Jülich GmbH)
van Steensel, Alwin (Forschungszentrum Jülich GmbH)
Nazarov, Y.V. (TU Delft QN/Nazarov Group)

Date

2019

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.

Subject

Entropy production
Quantum information
Quantum thermodynamics
Renyi entropy
Time evolution

To reference this document use:

http://resolver.tudelft.nl/uuid:7808301a-d850-4223-b598-5f7ff84c0e5b

DOI

https://doi.org/10.3390/e21090854

ISSN

1099-4300

Source

Entropy: international and interdisciplinary journal of entropy and information studies, 21 (9)

Part of collection

Institutional Repository