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Recent Advances in Quantum Information Processing
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Recent Advances in Quantum Information Processing

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

Deadline for manuscript submissions: closed (31 March 2024) | Viewed by 5071

Special Issue Editors

Prof. Dr. Zhujun Zheng

E-Mail Website
Guest Editor
School of Mathematics, South China University of Technology, Guangzhou 510641, China
Interests: cluster algebra; quantum group; quantum computation and quantum Information; Donaldson-Thomas invariants; string theory; vertex algebras
Dr. Maosheng Li

E-Mail Website
Guest Editor
School of Mathematics, South China University of Technology, Guangzhou 510641, China
Interests: quantum information; quantum computation; quantum algorithm; number theory

Special Issue Information

Dear Colleagues,

After decades of development, quantum information science has made great progress. However, some basic concepts in quantum information theory (such as quantum correlation, quantum entanglement, quantum Markovianity, quantum thermodynamics, etc.) still need to be explored in depth. On the other hand, in order to meet the requirements of quantum hardware at this stage, it also poses more challenges to the theory of quantum information (for example, the quantum algorithm applicable to NISQ).

This Special Issue focuses on the recent advances in quantum information processing. We invite all kinds of contributions devoted to quantum information theory which includes but is not limited to:

  • Quantum walk;
  • Quantum algorithm;
  • Quantum noise;
  • Quantum thermodynamics;
  • Quantum correlation;
  • Quantum entanglement;
  • Quantum nonlocality;
  • Quantum discord;
  • Quantum coherence;
  • Quantum Markovianity;
  • Quantum channel;
  • Quantum states discrimination;
  • von Neumann entropy.

Prof. Dr. Zhujun Zheng
Dr. Maosheng Li
Guest Editors

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.

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Further information on MDPI's Special Issue polices can be found here.

Published Papers (3 papers)

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Research

14 pages, 552 KiB  
Article
Partial Recovery of Coherence Loss in Coherence-Assisted Transformation
by Zhaobing Fan, Zewen Shan and Haitao Ma
Entropy 2023, 25(10), 1375; https://doi.org/10.3390/e25101375 - 24 Sep 2023
Viewed by 1030
Abstract
Coherence-assisted transformation under incoherent operations is discussed. For transformation from the pure state to the mixed state, we show that the coherence loss can be partially recovered by adding auxiliary coherent states. First, we discuss the coherence-assisted transformation for qubit states and give [...] Read more.
Coherence-assisted transformation under incoherent operations is discussed. For transformation from the pure state to the mixed state, we show that the coherence loss can be partially recovered by adding auxiliary coherent states. First, we discuss the coherence-assisted transformation for qubit states and give the sufficient and necessary condition for the partial recovery of coherence loss, and the maximum of the recovery of coherence loss is also studied in this case. Second, the maximally coherent state can be obtained in the above recovery scheme, so we give the full characterization of obtaining the maximally coherent state in a qubit system. Finally, we show that the coherence-assisted transformation for arbitrary finite-dimensional main coherent states and low-dimensional auxiliary coherent states is always possible, and the coherence loss also can be partially recovered in these cases. Full article
(This article belongs to the Special Issue Recent Advances in Quantum Information Processing)
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13 pages, 367 KiB  
Article
Characterizing an Uncertainty Diagram and Kirkwood–Dirac Nonclassicality Based on Discrete Fourier Transform
by Ying-Hui Yang, Bing-Bing Zhang, Xiao-Li Wang, Shi-Jiao Geng and Pei-Ying Chen
Entropy 2023, 25(7), 1075; https://doi.org/10.3390/e25071075 - 17 Jul 2023
Cited by 1 | Viewed by 1030
Abstract
In this paper, we investigate an uncertainty diagram and Kirkwood–Dirac (KD) nonclassicality based on discrete Fourier transform (DFT) in a d-dimensional system. We first consider the uncertainty diagram of the DFT matrix, which is a transition matrix from basis A to basis [...] Read more.
In this paper, we investigate an uncertainty diagram and Kirkwood–Dirac (KD) nonclassicality based on discrete Fourier transform (DFT) in a d-dimensional system. We first consider the uncertainty diagram of the DFT matrix, which is a transition matrix from basis A to basis B. Here, the bases A, B are not necessarily completely incompatible. We show that for the uncertainty diagram of the DFT matrix, there is no “hole” in the region of the (nA,nB) plane above and on the line nA+nB=d+1. Then, we present where the holes are in the region strictly below the line and above the hyperbola nAnB=d. Finally, we provide an alternative proof of the conjecture about KD nonclassicality based on DFT. Full article
(This article belongs to the Special Issue Recent Advances in Quantum Information Processing)
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20 pages, 2936 KiB  
Article
Bandit Algorithm Driven by a Classical Random Walk and a Quantum Walk
by Tomoki Yamagami, Etsuo Segawa, Takatomo Mihana, André Röhm, Ryoichi Horisaki and Makoto Naruse
Entropy 2023, 25(6), 843; https://doi.org/10.3390/e25060843 - 25 May 2023
Cited by 2 | Viewed by 2289
Abstract
Quantum walks (QWs) have a property that classical random walks (RWs) do not possess—the coexistence of linear spreading and localization—and this property is utilized to implement various kinds of applications. This paper proposes RW- and QW-based algorithms for multi-armed-bandit (MAB) problems. We show [...] Read more.
Quantum walks (QWs) have a property that classical random walks (RWs) do not possess—the coexistence of linear spreading and localization—and this property is utilized to implement various kinds of applications. This paper proposes RW- and QW-based algorithms for multi-armed-bandit (MAB) problems. We show that, under some settings, the QW-based model realizes higher performance than the corresponding RW-based one by associating the two operations that make MAB problems difficult—exploration and exploitation—with these two behaviors of QWs. Full article
(This article belongs to the Special Issue Recent Advances in Quantum Information Processing)
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