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Simulation of Open Quantum Systems

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

Deadline for manuscript submissions: 31 January 2025 | Viewed by 761

Special Issue Editors


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Guest Editor
Department of Physics, University of Helsinki, Gustaf Hällströmin katu 2, FI-00014 Helsinki, Finland
Interests: open quantum systems; quantum information; quantum simulation; superconducting qubits; quantum thermalization; quantum collision models; Markovian master equations

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Guest Editor
Centre for Quantum Materials and Technologies, School of Mathematics and Physics, Queens University, Belfast BT7 1NN, UK
Interests: quantum thermodynamics; open quantum systems; quantum optics and quantum information processing; foundations of quantum mechanics; cavity quantum optomechanics and electrodynamics
Special Issues, Collections and Topics in MDPI journals

Special Issue Information

Dear Colleagues,

Open quantum systems, which interact with their surrounding environment, play a crucial role in various areas of quantum science and technology. The importance of simulating open quantum systems is growing for the following two main reasons: first, to enhance our understanding of the fundamental physics governing these systems in complex scenarios, including, for instance, many-body open systems or structured quantum systems, such as networks of superconducting qubits; second, improving our comprehension of noise in quantum computation, which can be described as an open system of many qubits, is particularly relevant in the near-term quantum computation era with tens or hundreds of qubits.

Submissions to this issue are broadly solicited on the simulation of open quantum systems using both classical and quantum methods. Quantum methods of interest include (but are not restricted to) collision models, trotterization of quantum dynamics, imaginary time evolution, and variational algorithms. Classical methods encompass the brute-force computation of system dynamics, semi-analytical approaches to simplify and solve master equations classically, and the application of classical machine learning techniques to solve quantum dynamics.

While our focus is predominantly on Markovian dynamics due to its widespread use and simplicity, manuscripts addressing the simulation of non-Markovian open systems are also welcome. This collection aims to advance the field by showcasing innovative techniques and methodologies for simulating the dynamics of open quantum systems.

Dr. Marco Cattaneo
Prof. Dr. Mauro Paternostro
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.

Keywords

  • quantum simulation
  • open quantum systems
  • collision models
  • variational quantum methods
  • Markovian quantum dynamics
  • quantum algorithms
  • classical simulation of quantum systems

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Published Papers (2 papers)

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Research

13 pages, 2442 KiB  
Article
Critical Assessment of Information Back-Flow in Measurement-Free Teleportation
by Hannah McAleese and Mauro Paternostro
Entropy 2024, 26(9), 780; https://doi.org/10.3390/e26090780 (registering DOI) - 11 Sep 2024
Viewed by 130
Abstract
We assess a scheme for measurement-free quantum teleportation from the perspective of the resources underpinning its performance. In particular, we focus on claims recently made about the crucial role played by the degree of non-Markovianity of the dynamics of the information carrier whose [...] Read more.
We assess a scheme for measurement-free quantum teleportation from the perspective of the resources underpinning its performance. In particular, we focus on claims recently made about the crucial role played by the degree of non-Markovianity of the dynamics of the information carrier whose state we aim to teleport. We prove that any link between the efficiency of teleportation and the back-flow of information depends fundamentally on the way the various operations entailed by the measurement-free teleportation protocol are implemented while—in general—no claim of causal link can be made. Our result reinforces the need for the explicit assessment of the underlying physical platform when assessing the performance and resources for a given quantum protocol and the need for a rigorous quantum resource theory of non-Markovianity. Full article
(This article belongs to the Special Issue Simulation of Open Quantum Systems)
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11 pages, 1820 KiB  
Article
Estimating Molecular Thermal Averages with the Quantum Equation of Motion and Informationally Complete Measurements
by Daniele Morrone, N. Walter Talarico, Marco Cattaneo and Matteo A. C. Rossi
Entropy 2024, 26(9), 722; https://doi.org/10.3390/e26090722 - 23 Aug 2024
Viewed by 348
Abstract
By leveraging the Variational Quantum Eigensolver (VQE), the “quantum equation of motion” (qEOM) method established itself as a promising tool for quantum chemistry on near-term quantum computers and has been used extensively to estimate molecular excited states. Here, we explore a novel application [...] Read more.
By leveraging the Variational Quantum Eigensolver (VQE), the “quantum equation of motion” (qEOM) method established itself as a promising tool for quantum chemistry on near-term quantum computers and has been used extensively to estimate molecular excited states. Here, we explore a novel application of this method, employing it to compute thermal averages of quantum systems, specifically molecules like ethylene and butadiene. A drawback of qEOM is that it requires measuring the expectation values of a large number of observables on the ground state of the system, and the number of necessary measurements can become a bottleneck of the method. In this work, we focus on measurements through informationally complete positive operator-valued measures (IC-POVMs) to achieve a reduction in the measurement overheads by estimating different observables of interest through the measurement of a single set of POVMs. We show with numerical simulations that the qEOM combined with IC-POVM measurements ensures satisfactory accuracy in the reconstruction of the thermal state with a reasonable number of shots. Full article
(This article belongs to the Special Issue Simulation of Open Quantum Systems)
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Planned Papers

The below list represents only planned manuscripts. Some of these manuscripts have not been received by the Editorial Office yet. Papers submitted to MDPI journals are subject to peer-review.

1.

Title: Machine learning techniques for modeling quantum dynamics
Authors: Andrea Delgado, Maria Gabriela Boada and Jose Morales
Affiliations: Oak Ridge National Laboratory, University of Texas at San Antonio
Abstract: In this manuscript, we investigate the modeling of open quantum systems using a variety of machine learning techniques, with the primary goal of understanding the limitations and benefits of different models in predicting complex quantum dynamics. We focus on enhancing the predictive performance of neural networks (NNs) trained with partial quantum state information, addressing practical challenges where complete quantum state tomography is not feasible. We further explore alternative models, such as attention-based mechanisms and hybrid architectures, to assess their accuracy and efficiency in capturing non-Markovian behavior. Our results demonstrate the relative strengths and weaknesses of these approaches, offering valuable insights into their applicability for different types of quantum dynamics and setting a foundation for future research in machine learning.

 

 

2.

Prof. Jonas Ola Oscar Larson (Stockholm University)

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