Entropy Production in Quantum is Different
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...
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| Format: | Article |
| Language: | English |
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MDPI AG
2019-08-01
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| Series: | Entropy |
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| Online Access: | https://www.mdpi.com/1099-4300/21/9/854 |
| _version_ | 1828138024462974976 |
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| author | Mohammad H. Ansari Alwin van Steensel Yuli V. Nazarov |
| author_facet | Mohammad H. Ansari Alwin van Steensel Yuli V. Nazarov |
| author_sort | Mohammad H. Ansari |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-04-11T18:29:19Z |
| format | Article |
| id | doaj.art-fe77c0e6d45b4842855bffb443be2432 |
| institution | Directory Open Access Journal |
| issn | 1099-4300 |
| language | English |
| last_indexed | 2024-04-11T18:29:19Z |
| publishDate | 2019-08-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Entropy |
| spelling | doaj.art-fe77c0e6d45b4842855bffb443be24322022-12-22T04:09:32ZengMDPI AGEntropy1099-43002019-08-0121985410.3390/e21090854e21090854Entropy Production in Quantum is DifferentMohammad H. Ansari0Alwin van Steensel1Yuli V. Nazarov2Jülich-Aachen Research Alliance Institute (JARA) and Peter Grünberg Institute (PGI-2), Forschungszentrum Jülich, D-52425 Jülich, GermanyJülich-Aachen Research Alliance Institute (JARA) and Peter Grünberg Institute (PGI-2), Forschungszentrum Jülich, D-52425 Jülich, GermanyDepartment of Quantum Nanoscience, Kavli Institute of Nanoscience, TU Delft, Lorentzweg 1, 2628CJ Delft, The NetherlandsCurrently, ‘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.https://www.mdpi.com/1099-4300/21/9/854time evolutionquantum informationentropy productionRenyi entropyquantum thermodynamics |
| spellingShingle | Mohammad H. Ansari Alwin van Steensel Yuli V. Nazarov Entropy Production in Quantum is Different Entropy time evolution quantum information entropy production Renyi entropy quantum thermodynamics |
| title | Entropy Production in Quantum is Different |
| title_full | Entropy Production in Quantum is Different |
| title_fullStr | Entropy Production in Quantum is Different |
| title_full_unstemmed | Entropy Production in Quantum is Different |
| title_short | Entropy Production in Quantum is Different |
| title_sort | entropy production in quantum is different |
| topic | time evolution quantum information entropy production Renyi entropy quantum thermodynamics |
| url | https://www.mdpi.com/1099-4300/21/9/854 |
| work_keys_str_mv | AT mohammadhansari entropyproductioninquantumisdifferent AT alwinvansteensel entropyproductioninquantumisdifferent AT yulivnazarov entropyproductioninquantumisdifferent |