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Entropy
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Entropy and Complexity in Quantum Dynamics
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Entropy and Complexity in Quantum Dynamics

A special issue of Entropy (ISSN 1099-4300). This special issue belongs to the section "Quantum Information".

Deadline for manuscript submissions: closed (31 July 2022) | Viewed by 9037

Special Issue Editor

Dr. Pavan Hosur

E-Mail Website
Guest Editor
Department of Physics, University of Houston, Houston, TX 77204, USA
Interests: topological phases and materials; interplay of symmetry and topology; transport phenom-ena; non-integrable quantum systems; eigenstate thermalization; quantum thermalization and chaos
Special Issues, Collections and Topics in MDPI journals

Special Issue Information

Recent breakthroughs have proven the dynamics of quantum many-body systems to be a key factor that unifies quantum physics with quantum information. On the physics side, quantum dynamics helps define static and dynamic states of matter based on their temporal behavior over various timescales and provide a new window into quantum gravity through holographic mapping. Powerful measures rooted in physics principles that characterize quantum dynamics are von Neumann and Rényi entropies. On the information side, they reveal the ability of quantum systems and networks to respectively store and transport quantum information, and are characterized by information-theoretic measures of complexity and scrambling.

The goal of this Special Issue is to present the latest advances at the intersection of quantum physics and quantum information, with a focus on the dynamic behavior of quantum systems. Theoretical and experimental developments probing thermalization and chaos in quantum systems, many-body localization, quantum error correction, information propagation through unitary quantum networks, as well as information-theoretic implications of blackhole dynamics, are within the scope of this issue.

Dr. Pavan Hosur
Guest Editor

Manuscript Submission Information

Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All submissions that pass pre-check are peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 100 words) can be sent to the Editorial Office for announcement on this website.

Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Entropy is an international peer-reviewed open access monthly journal published by MDPI.

Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 2600 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.

Keywords

  • thermalization
  • many-body localization
  • quantum chaos
  • scrambling
  • optical lattices
  • trapped ions
  • out-of-time-ordered correlations
  • mutual information
  • blackhole dynamics
  • quantum error correction

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Published Papers (3 papers)

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Research

12 pages, 1126 KiB  
Article
Quantum Thermal Amplifiers with Engineered Dissipation
by Antonio Mandarino
Entropy 2022, 24(8), 1031; https://doi.org/10.3390/e24081031 - 26 Jul 2022
Cited by 4 | Viewed by 1840
Abstract
A three-terminal device, able to control the heat currents flowing through it, is known as a quantum thermal transistor whenever it amplifies two output currents as a response to the external source acting on its third terminal. Several efforts have been proposed in [...] Read more.
A three-terminal device, able to control the heat currents flowing through it, is known as a quantum thermal transistor whenever it amplifies two output currents as a response to the external source acting on its third terminal. Several efforts have been proposed in the direction of addressing different engineering options of the configuration of the system. Here, we adhere to the scheme in which such a device is implemented as a three-qubit system that interacts with three separate thermal baths. However, another interesting direction is how to engineer the thermal reservoirs to magnify the current amplification. Here, we derive a quantum dynamical equation for the evolution of the system to study the role of distinct dissipative thermal noises. We compare the amplification gain in different configurations and analyze the role of the correlations in a system exhibiting the thermal transistor effect, via measures borrowed from the quantum information theory. Full article
(This article belongs to the Special Issue Entropy and Complexity in Quantum Dynamics)
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9 pages, 273 KiB  
Article
Some New Quantum BCH Codes over Finite Fields
by Lijuan Xing and Zhuo Li
Entropy 2021, 23(6), 712; https://doi.org/10.3390/e23060712 - 3 Jun 2021
Cited by 3 | Viewed by 2518
Abstract
Quantum error correcting codes (QECCs) play an important role in preventing quantum information decoherence. Good quantum stabilizer codes were constructed by classical error correcting codes. In this paper, Bose–Chaudhuri–Hocquenghem (BCH) codes over finite fields are used to construct quantum codes. First, we try [...] Read more.
Quantum error correcting codes (QECCs) play an important role in preventing quantum information decoherence. Good quantum stabilizer codes were constructed by classical error correcting codes. In this paper, Bose–Chaudhuri–Hocquenghem (BCH) codes over finite fields are used to construct quantum codes. First, we try to find such classical BCH codes, which contain their dual codes, by studying the suitable cyclotomic cosets. Then, we construct nonbinary quantum BCH codes with given parameter sets. Finally, a new family of quantum BCH codes can be realized by Steane’s enlargement of nonbinary Calderbank-Shor-Steane (CSS) construction and Hermitian construction. We have proven that the cyclotomic cosets are good tools to study quantum BCH codes. The defining sets contain the highest numbers of consecutive integers. Compared with the results in the references, the new quantum BCH codes have better code parameters without restrictions and better lower bounds on minimum distances. What is more, the new quantum codes can be constructed over any finite fields, which enlarges the range of quantum BCH codes. Full article
(This article belongs to the Special Issue Entropy and Complexity in Quantum Dynamics)
23 pages, 1694 KiB  
Article
Unveiling Operator Growth Using Spin Correlation Functions
by Matteo Carrega, Joonho Kim and Dario Rosa
Entropy 2021, 23(5), 587; https://doi.org/10.3390/e23050587 - 10 May 2021
Cited by 16 | Viewed by 3634
Abstract
In this paper, we study non-equilibrium dynamics induced by a sudden quench of strongly correlated Hamiltonians with all-to-all interactions. By relying on a Sachdev-Ye-Kitaev (SYK)-based quench protocol, we show that the time evolution of simple spin-spin correlation functions is highly sensitive to the [...] Read more.
In this paper, we study non-equilibrium dynamics induced by a sudden quench of strongly correlated Hamiltonians with all-to-all interactions. By relying on a Sachdev-Ye-Kitaev (SYK)-based quench protocol, we show that the time evolution of simple spin-spin correlation functions is highly sensitive to the degree of k-locality of the corresponding operators, once an appropriate set of fundamental fields is identified. By tracking the time-evolution of specific spin-spin correlation functions and their decay, we argue that it is possible to distinguish between operator-hopping and operator growth dynamics; the latter being a hallmark of quantum chaos in many-body quantum systems. Such an observation, in turn, could constitute a promising tool to probe the emergence of chaotic behavior, rather accessible in state-of-the-art quench setups. Full article
(This article belongs to the Special Issue Entropy and Complexity in Quantum Dynamics)
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