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Quantum Computing for Complex Dynamics, 2nd Edition

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

Deadline for manuscript submissions: 30 December 2024 | Viewed by 1045

Special Issue Editors

Key Laboratory of Condensed Matter Theory and Computation, Institute of Physics, Chinese Academy of Sciences, Beijing, China
Interests: quantum computing and quantum information; quantum information processing applications in condensed matter physics; strongly correlated condensed matter systems; statistical models and quantum field theory
Special Issues, Collections and Topics in MDPI journals

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Guest Editor
State Key Laboratory of Low-Dimensional Quantum Physics and Department of Physics, Tsinghua University, Beijing 100084, China
Interests: quantum communication; quantum computation; quantum information; quantum secure direct communication; quantum algorithm
Special Issues, Collections and Topics in MDPI journals

Special Issue Information

Dear Colleagues,

During the 1980s, physicists combined a quantum mechanical model with computer science, producing quantum computers. These quantum computers could perform much better than a classical computer. Since then, the research on quantum computation has been growing rapidly, both in architecture and algorithms.

Complex dynamics are known for their complexity, chaos, and randomness, which widely exist in the field of cryptography, communication, chemistry, and so on. It is hard for classic computers to deal with complex dynamics, while quantum computers act as an ideal tool with which to calculate and simulate them.

This Special Issue mainly focuses on the state of the art of the research on quantum computation and quantum algorithms, particularly that on the computation of the complex dynamics. The topics include, but are not limited to, the following:

  • Quantum algorithms;
  • Quantum circuits;
  • Quantum communication;
  • Quantum computing;
  • Quantum cryptography;
  • Quantum computation;
  • Quantum computer architecture;
  • Quantum information;
  • Quantum machine learning;
  • Quantum networks and communication;
  • Quantum programming;
  • Quantum simulation;
  • Complex dynamics;
  • Open quantum dynamics;
  • Computational complexity;
  • Quantum chaos;
  • Quantum complexity theory;
  • Quantum maps;
  • Quantum dots.

Dr. Heng Fan
Prof. Dr. Guilu Long
Guest Editors

Manuscript Submission Information

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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 algorithms
  • quantum circuits
  • quantum communication
  • quantum computing
  • quantum cryptography
  • quantum computation

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Published Papers (2 papers)

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Research

18 pages, 850 KiB  
Article
A Hybrid Quantum Solver for the Lorenz System
by Sajad Fathi Hafshejani, Daya Gaur, Arundhati Dasgupta, Robert Benkoczi, Narasimha Reddy Gosala and Alfredo Iorio
Entropy 2024, 26(12), 1009; https://doi.org/10.3390/e26121009 - 22 Nov 2024
Abstract
We develop a hybrid classical–quantum method for solving the Lorenz system. We use the forward Euler method to discretize the system in time, transforming it into a system of equations. This set of equations is solved by using the Variational Quantum Linear Solver [...] Read more.
We develop a hybrid classical–quantum method for solving the Lorenz system. We use the forward Euler method to discretize the system in time, transforming it into a system of equations. This set of equations is solved by using the Variational Quantum Linear Solver (VQLS) algorithm. We present numerical results comparing the hybrid method with the classical approach for solving the Lorenz system. The simulation results demonstrate that the VQLS method can effectively compute solutions comparable to classical methods. The method is easily extended to solving similar nonlinear differential equations. Full article
(This article belongs to the Special Issue Quantum Computing for Complex Dynamics, 2nd Edition)
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12 pages, 4146 KiB  
Article
Infidelity Analysis of Digital Counter-Diabatic Driving in Simple Two-Qubit System
by Ouyang Lei
Entropy 2024, 26(10), 877; https://doi.org/10.3390/e26100877 - 19 Oct 2024
Viewed by 560
Abstract
Digitized counter-diabatic (CD) optimization algorithms have been proposed and extensively studied to enhance performance in quantum computing by accelerating adiabatic processes while minimizing energy transitions. While adding approximate counter-diabatic terms can initially introduce adiabatic errors that decrease over time, Trotter errors from decomposition [...] Read more.
Digitized counter-diabatic (CD) optimization algorithms have been proposed and extensively studied to enhance performance in quantum computing by accelerating adiabatic processes while minimizing energy transitions. While adding approximate counter-diabatic terms can initially introduce adiabatic errors that decrease over time, Trotter errors from decomposition approximation persist. On the other hand, increasing the high-order nested commutators for CD terms may improve adiabatic errors but could also introduce additional Trotter errors. In this article, we examine the two-qubit model to explore the interplay between approximate CD, adiabatic errors, Trotter errors, coefficients, and commutators. Through these analyses, we aim to gain insights into optimizing these factors for better fidelity, a shallower circuit depth, and a reduced gate number in near-term gate-based quantum computing. Full article
(This article belongs to the Special Issue Quantum Computing for Complex Dynamics, 2nd Edition)
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