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Entanglement Entropy
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Entanglement Entropy

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

Deadline for manuscript submissions: closed (30 October 2015) | Viewed by 29084

Special Issue Editor

Dr. Gerardo Adesso

E-Mail Website
Guest Editor
School of Mathematical Sciences, The University of Nottingham, Nottingham NG7 2RD, UK
Interests: quantum information; quantum optics; quantum foundations; entanglement

Special Issue Information

Dear Colleagues,

The use of entropy in quantum physics has guided remarkable advances in the understanding of entanglement and general forms of quantum correlations in composite quantum systems, and has enabled the quantification of quantum advantages in information and communication technologies. Entropic measures are at the core of quantum information theory, and recent cross-fertilizations with other fields (such as condensed matter and thermodynamics) are further promoting the interpretation and application of entropy in the quantum domain. In this Special Issue, we aim to collect a combination of tutorial-style short review articles, with a series of original contributions that echo current developments in areas related to: entanglement theory, entanglement in many-body systems, topological entanglement entropy, single-shot quantum information theory, the characterization of quantum correlations, and quantum thermodynamics.

Dr. Gerardo Adesso
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

  • entanglement theory and applications
  • entropic and geometric measures of quantum correlations
  • Renyi entropies and single-shot quantum information theory
  • output entropy and capacities of quantum channels
  • entropy production and control in quantum thermodynamics
  • entanglement entropy in many-body systems
  • topological entanglement entropy

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Published Papers (5 papers)

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Research

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884 KiB  
Article
Quantum Private Query Protocol Based on Two Non-Orthogonal States
by Yan Chang, Shibin Zhang, Guihua Han, Zhiwei Sheng, Lili Yan and Jinxin Xiong
Entropy 2016, 18(5), 163; https://doi.org/10.3390/e18050163 - 3 May 2016
Cited by 8 | Viewed by 4412
Abstract
We propose a loss tolerant quantum private query (QPQ) protocol based on two non-orthogonal states and unambiguous state discrimination (USD) measurement. By analyzing a two-point attack by a third party, we find that our protocol has a stronger ability to resist external attacks [...] Read more.
We propose a loss tolerant quantum private query (QPQ) protocol based on two non-orthogonal states and unambiguous state discrimination (USD) measurement. By analyzing a two-point attack by a third party, we find that our protocol has a stronger ability to resist external attacks than G-protocol and Y-protocol. Our protocol requires a smaller number of compressions than that in G-protocol (Gao et al., Opt. Exp. 2012, 20, 17411–17420) and Y-protocol (Yan et al. Quant. Inf. Process. 2014, 13, 805–813), which means less post-processing. Our protocol shows better database security and user privacy compared with G-protocol. Full article
(This article belongs to the Special Issue Entanglement Entropy)
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8634 KiB  
Article
The Effect of Spin Squeezing on the Entanglement Entropy of Kicked Tops
by Ernest Teng Siang Ong and Lock Yue Chew
Entropy 2016, 18(4), 116; https://doi.org/10.3390/e18040116 - 2 Apr 2016
Cited by 5 | Viewed by 5478
Abstract
In this paper, we investigate the effects of spin squeezing on two-coupled quantum kicked tops, which have been previously shown to exhibit a quantum signature of chaos in terms of entanglement dynamics. Our results show that initial spin squeezing can lead to an [...] Read more.
In this paper, we investigate the effects of spin squeezing on two-coupled quantum kicked tops, which have been previously shown to exhibit a quantum signature of chaos in terms of entanglement dynamics. Our results show that initial spin squeezing can lead to an enhancement in both the entanglement rate and the asymptotic entanglement for kicked tops when the initial state resides in the regular islands within a mixed classical phase space. On the other hand, we found a reduction in these two quantities if we were to choose the initial state deep inside the chaotic sea. More importantly, we have uncovered that an application of periodic spin squeezing can yield the maximum attainable entanglement entropy, albeit this is achieved at a reduced entanglement rate. Full article
(This article belongs to the Special Issue Entanglement Entropy)
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437 KiB  
Article
Entanglement Entropy in a Triangular Billiard
by Sijo K. Joseph and Miguel A. F. Sanjuán
Entropy 2016, 18(3), 79; https://doi.org/10.3390/e18030079 - 1 Mar 2016
Cited by 3 | Viewed by 5344
Abstract
The Schrödinger equation for a quantum particle in a two-dimensional triangular billiard can be written as the Helmholtz equation with a Dirichlet boundary condition. We numerically explore the quantum entanglement of the eigenfunctions of the triangle billiard and its relation to the irrationality [...] Read more.
The Schrödinger equation for a quantum particle in a two-dimensional triangular billiard can be written as the Helmholtz equation with a Dirichlet boundary condition. We numerically explore the quantum entanglement of the eigenfunctions of the triangle billiard and its relation to the irrationality of the triangular geometry. We also study the entanglement dynamics of the coherent state with its center chosen at the centroid of the different triangle configuration. Using the von Neumann entropy of entanglement, we quantify the quantum entanglement appearing in the eigenfunction of the triangular domain. We see a clear correspondence between the irrationality of the triangle and the average entanglement of the eigenfunctions. The entanglement dynamics of the coherent state shows a dependence on the geometry of the triangle. The effect of quantum squeezing on the coherent state is analyzed and it can be utilize to enhance or decrease the entanglement entropy in a triangular billiard. Full article
(This article belongs to the Special Issue Entanglement Entropy)
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Review

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245 KiB  
Review
Properties of Nonnegative Hermitian Matrices and New Entropic Inequalities for Noncomposite Quantum Systems
by Margarita A. Man'ko and Vladimir I. Man'ko
Entropy 2015, 17(5), 2876-2894; https://doi.org/10.3390/e17052876 - 6 May 2015
Cited by 37 | Viewed by 5407
Abstract
We consider the probability distributions, spin (qudit)-state tomograms and density matrices of quantum states, and their information characteristics, such as Shannon and von Neumann entropies and q-entropies, from the viewpoints of both well-known purely mathematical features of nonnegative numbers and nonnegative matrices and [...] Read more.
We consider the probability distributions, spin (qudit)-state tomograms and density matrices of quantum states, and their information characteristics, such as Shannon and von Neumann entropies and q-entropies, from the viewpoints of both well-known purely mathematical features of nonnegative numbers and nonnegative matrices and their physical characteristics, such as entanglement and other quantum correlation phenomena. We review entropic inequalities such as the Araki–Lieb inequality and the subadditivity and strong subadditivity conditions known for bipartite and tripartite systems, and recently obtained for single qudit states. We present explicit matrix forms of the known and some new entropic inequalities associated with quantum states of composite and noncomposite systems. We discuss the tomographic probability distributions of qudit states and demonstrate the inequalities for tomographic entropies of the qudit states. In addition, we mention a possibility to use the discussed information properties of single qudit states in quantum technologies based on multilevel atoms and quantum circuits produced of Josephson junctions. Full article
(This article belongs to the Special Issue Entanglement Entropy)
754 KiB  
Review
Factorization and Criticality in the Anisotropic XY Chain via Correlations
by Barış Çakmak, Göktuğ Karpat and Felipe F. Fanchini
Entropy 2015, 17(2), 790-817; https://doi.org/10.3390/e17020790 - 9 Feb 2015
Cited by 57 | Viewed by 7530
Abstract
In this review, we discuss the zero and finite temperature behavior of various bipartite quantum and total correlation measures, the skew information-based quantum coherence and the local quantum uncertainty in the thermal ground state of the one-dimensional anisotropic XY model in a transverse [...] Read more.
In this review, we discuss the zero and finite temperature behavior of various bipartite quantum and total correlation measures, the skew information-based quantum coherence and the local quantum uncertainty in the thermal ground state of the one-dimensional anisotropic XY model in a transverse magnetic field. We compare the ability of the considered measures to correctly detect or estimate the quantum critical point and the non-trivial factorization point possessed by the spin chain. Full article
(This article belongs to the Special Issue Entanglement Entropy)
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