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Symmetry
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Quantum Information and Condensed Matter Physics
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Quantum Information and Condensed Matter Physics

A special issue of Symmetry (ISSN 2073-8994). This special issue belongs to the section "Physics".

Deadline for manuscript submissions: closed (31 January 2023) | Viewed by 12241

Special Issue Editors

Dr. Pedro D. Sacramento

E-Mail Website
Guest Editor
Departamento de Fisica and CeFEMA, Instituto Superior Tecnico, Av. Rovisco Pais, 1049-001 Lisboa, Portugal
Interests: Topological phases of matter; Quantum information and condensed matter physics; Non-equilibrium dynamics; Strongly correlated systems; Fractionalization and confinement
Dr. Nikola Paunkovic

E-Mail Website
Guest Editor
SQIG – Instituto de Telecomunicações, Instituto Superior Técnico, Universidade Técnica de Lisboa, Av. Rovisco Pais, 1049-001 Lisboa, Portugal
Interests: macroscopic distinguishability; phase transitions and the emergence of classicality from quantum physics; entanglement and indistinguishability; entanglement in many-body systems; quantum walks; quantum communication protocols; the concept of indistinguishability in quantum mechanics
Special Issues, Collections and Topics in MDPI journals

Special Issue Information

Dear Colleagues,

Recent years have witnessed the emergence of novel materials and different, exotic systems and phases, whose description and analysis often go beyond the standard methods and require novel approaches and quantities to study. Traditional concepts, such as spontaneous symmetry breaking and strong correlations, have been extended or replaced by concepts from topology or highly entangled states. In this respect, quantum information theory offers a different perspective and provides a number of sought-after quantities to tackle these new physics. The emergent "second quantum revolution" and the new field of quantum information, which has been rapidly expanding in the past 2–3 decades, have provided an important application within the field of condensed matter problems. For instance, characterizing the entanglement of a given phase provides complementary information on the physical details of a given system, and by using the fidelity, quantum transitions between different phases can be detected and analyzed, in a way that is to some extent independent of the detailed knowledge of the system properties, such as order parameters.

This Special Issue of Symmetry will focus on the interplay between quantum information and condensed matter, considering both established aspects and new trends in topics such as entanglement, fidelity and fidelity susceptibility, the geometrical aspects of quantum information, topological phase transitions (both symmetry-protected topological phases and phases with long-range topological order), Loschmidt echo and its generalizations to finite temperatures and mixed states, interacting systems, tensor networks, and gauge theories and gauge symmetries. Quenched systems and the associated dynamical phase transitions (these include the behavior of various quantities in time, such as the suggested entanglement, etc.) will also be considered. You are therefore invited to submit either a short review or your original work on any of these subjects.

Dr. Pedro D. Sacramento
Dr. Nikola Paunkovic
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. Symmetry 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 2400 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

  • Symmetry
  • Entanglement and entanglement growth
  • Fidelity
  • Topological phases and transitions
  • Geometry, topology, and quantum information

Published Papers (6 papers)

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Research

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12 pages, 489 KiB  
Article
Fisher and Skew Information Correlations of Two Coupled Trapped Ions: Intrinsic Decoherence and Lamb-Dicke Nonlinearity
by Abdel-Baset A. Mohamed, Ahmed Farouk, Mansour F. Yassen and Hichem Eleuch
Symmetry 2021, 13(12), 2243; https://0-doi-org.brum.beds.ac.uk/10.3390/sym13122243 - 24 Nov 2021
Cited by 4 | Viewed by 1529
Abstract
It is well known that many quantum information processing methods in artificial atoms depend largely on their engineering properties and their ability to generate quantum correlations. In this paper, we investigate the non-classical correlation dynamics of two trapped ions by using local quantum [...] Read more.
It is well known that many quantum information processing methods in artificial atoms depend largely on their engineering properties and their ability to generate quantum correlations. In this paper, we investigate the non-classical correlation dynamics of two trapped ions by using local quantum Fisher information, local quantum uncertainty, as well as logarithmic negativity. The system engineering is designed such that the two-trapped-ions work as two diploe-coupled qubits in a Lamb-Dicke regime. The center-of-mass vibrational modes are initially in coherent/even coherent states. It is found that the two-trapped-ions correlations can be controlled by the Lamb-Dicke nonlinearity, the nonclassicality effect of the initial center-of-mass vibrational mode, as well as the trapped-ion coupling and the intrinsic decoherence. The sudden changes in the non-classical correlations and their stability are shown against Lamb-Dicke nonlinearity, the nonclassicality, the trapped-ion coupling, and the intrinsic decoherence. Full article
(This article belongs to the Special Issue Quantum Information and Condensed Matter Physics)
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11 pages, 5483 KiB  
Article
Wigner Function Non-Classicality Induced in a Charge Qubit Interacting with a Dissipative Field Cavity
by Abdel-Baset A. Mohamed, Eied M. Khalil, Afrah Y. AL-Rezami and Hichem Eleuch
Symmetry 2021, 13(5), 802; https://0-doi-org.brum.beds.ac.uk/10.3390/sym13050802 - 04 May 2021
Viewed by 1715
Abstract
We explore a superconducting charge qubit interacting with a dissipative microwave cavity field. Wigner distribution and its non-classicality are investigated analytically under the effects of the qubit–cavity interaction, the qubit–cavity detuning, and the dissipation. As the microwave cavity field is initially in an [...] Read more.
We explore a superconducting charge qubit interacting with a dissipative microwave cavity field. Wigner distribution and its non-classicality are investigated analytically under the effects of the qubit–cavity interaction, the qubit–cavity detuning, and the dissipation. As the microwave cavity field is initially in an even coherent state, we investigate the non-classicality of the Wigner distributions. Partially and maximally frozen entanglement are produced by the qubit–cavity interaction, depending on detuning and cavity dissipation. It is found that the amplitudes and frequency of the Wigner distribution can be controlled by the phase space parameters, the qubit–cavity interaction and the detuning, as well as by the dissipation. The cavity dissipation reduces the non-classicality; this process can be accelerated by the detuning. Full article
(This article belongs to the Special Issue Quantum Information and Condensed Matter Physics)
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11 pages, 605 KiB  
Article
Quantum Fisher Information and Bures Distance Correlations of Coupled Two Charge-Qubits Inside a Coherent Cavity with the Intrinsic Decoherence
by Abdel-Baset A. Mohamed, Eied. M. Khalil, Mahmoud M. Selim and Hichem Eleuch
Symmetry 2021, 13(2), 352; https://0-doi-org.brum.beds.ac.uk/10.3390/sym13020352 - 22 Feb 2021
Cited by 9 | Viewed by 2109
Abstract
The dynamics of two charged qubits containing Josephson Junctions inside a cavity are investigated under the intrinsic decoherence effect. New types of quantum correlations via local quantum Fisher information and Bures distance norm are explored. We show that we can control the quantum [...] Read more.
The dynamics of two charged qubits containing Josephson Junctions inside a cavity are investigated under the intrinsic decoherence effect. New types of quantum correlations via local quantum Fisher information and Bures distance norm are explored. We show that we can control the quantum correlations robustness by the intrinsic decoherence rate, the qubit-qubit coupling as well as by the initial coherent states superposition. The phenomenon of sudden changes and the freezing behavior for the local quantum Fisher information are sensitive to the initial coherent state superposition and the intrinsic decoherence. Full article
(This article belongs to the Special Issue Quantum Information and Condensed Matter Physics)
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8 pages, 510 KiB  
Article
Improving Quantum Search on Simple Graphs by Pretty Good Structured Oracles
by Matteo G. A. Paris, Claudia Benedetti and Stefano Olivares
Symmetry 2021, 13(1), 96; https://0-doi-org.brum.beds.ac.uk/10.3390/sym13010096 - 07 Jan 2021
Cited by 6 | Viewed by 1788
Abstract
Quantum search algorithms provide a way to speed up combinatorial search, and have found several applications in modern quantum technology. In particular, spatial search on graphs, based on continuous-time quantum walks (CTQW), represents a promising platform for the implementation of quantum search in [...] Read more.
Quantum search algorithms provide a way to speed up combinatorial search, and have found several applications in modern quantum technology. In particular, spatial search on graphs, based on continuous-time quantum walks (CTQW), represents a promising platform for the implementation of quantum search in condensed matter systems. CTQW-based algorithms, however, work exactly on complete graphs, while they are known to perform poorly on realistic graphs with low connectivity. In this paper, we put forward an alternative search algorithm, based on structuring the oracle operator, which allows one to improve the localization properties of the walker by tuning only the on-site energies of the graph, i.e., without altering its topology. As such, the proposed algorithm is suitable for implementation in systems with low connectivity, e.g., rings of quantum dots or superconducting circuits. Oracle parameters are determined by Hamiltonian constraints, without the need for numerical optimization. Full article
(This article belongs to the Special Issue Quantum Information and Condensed Matter Physics)
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11 pages, 537 KiB  
Article
Local and Non-Local Invasive Measurements on Two Quantum Spins Coupled via Nanomechanical Oscillations
by Dimitrios Maroulakos, Levan Chotorlishvili, Dominik Schulz and Jamal Berakdar
Symmetry 2020, 12(7), 1078; https://0-doi-org.brum.beds.ac.uk/10.3390/sym12071078 - 01 Jul 2020
Cited by 3 | Viewed by 2232
Abstract
Symmetry plays the central role in the structure of quantum states of bipartite (or many-body) fermionic systems. Typically, symmetry leads to the phenomenon of quantum coherence and correlations (entanglement) inherent to quantum systems only. In the present work, we study the role of [...] Read more.
Symmetry plays the central role in the structure of quantum states of bipartite (or many-body) fermionic systems. Typically, symmetry leads to the phenomenon of quantum coherence and correlations (entanglement) inherent to quantum systems only. In the present work, we study the role of symmetry (i.e., quantum correlations) in invasive quantum measurements. We consider the influence of a direct or indirect measurement process on a composite quantum system. We derive explicit analytical expressions for the case of two quantum spins positioned on both sides of the quantum cantilever. The spins are coupled indirectly to each others via their interaction with a magnetic tip deposited on the cantilever. Two types of quantum witnesses can be considered, which quantify the invasiveness of a measurement on the systems’ quantum states: (i) A local quantum witness stands for the consequence on the quantum spin states of a measurement done on the cantilever, meaning we first perform a measurement on the cantilever, and subsequently a measurement on a spin. (ii) The non-local quantum witness signifies the response of one spin if a measurement is done on the other spin. In both cases the disturbance must involve the cantilever. However, in the first case, the spin-cantilever interaction is linear in the coupling constant Ω , where as in the second case, the spin-spin interaction is quadratic in Ω . For both cases, we find and discuss analytical results for the witness. Full article
(This article belongs to the Special Issue Quantum Information and Condensed Matter Physics)
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Review

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27 pages, 461 KiB  
Review
Entanglement and Fidelity: Statics and Dynamics
by Pedro D. Sacramento
Symmetry 2023, 15(5), 1055; https://0-doi-org.brum.beds.ac.uk/10.3390/sym15051055 - 09 May 2023
Viewed by 1474
Abstract
Herein, aspects of entanglement and fidelity and their use in condensed matter systems are briefly reviewed. Both static and time-dependent situations are considered. Different signatures of phases and phase transitions are discussed, including the dynamic aspects of the evolution across a critical point. [...] Read more.
Herein, aspects of entanglement and fidelity and their use in condensed matter systems are briefly reviewed. Both static and time-dependent situations are considered. Different signatures of phases and phase transitions are discussed, including the dynamic aspects of the evolution across a critical point. Some emphasis is placed on the use of entanglement in phase transitions with no clear order parameters and no symmetry breaking. Full article
(This article belongs to the Special Issue Quantum Information and Condensed Matter Physics)
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