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Exploring the Horizon of Practical Utility in Near-Term Quantum Computing

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

Deadline for manuscript submissions: 20 August 2025 | Viewed by 9475

Special Issue Editors


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Guest Editor
IonQ Inc, 4505 Campus Dr, CollegePark, MD 20740, USA, Joint Quantum Institute, University of Maryland, College Park, MD 20742, USA
Interests: quantum machine learning; quantum computation; ion trap quantum computers; variational algorithms; quantum software architecture

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Guest Editor
IonQ Inc, 4505 Campus Dr, CollegePark, MD 20740, USA
Interests: NISQ algorithms; quantum machine learning; quantum circuit dynamics; quantum state preparation; tensor network methods; ion trap quantum computing; strongly correlated electrons

E-Mail Website
Guest Editor
IonQ Inc, 4505 Campus Dr, CollegePark, MD 20740, USA
Interests: Hamiltonian simulation; quantum chemistry; quantum machine learning

Special Issue Information

Dear Colleagues,

Over the past few decades, the field of quantum computing and quantum information processing has witnessed significant strides in fundamental theory and hardware development. Diverse quantum computing architectures—ranging from photonic and superconducting circuits to trapped-ion configurations— have transitioned from small-scale prototypes to sophisticated devices housing tens, and even hundreds, of interconnected qubits. These advancements have not only facilitated groundbreaking showcases of quantum computational advantages in scientific experiments like boson sampling and cross-entropy benchmarks, but have also spurred the exploration of quantum applications poised to provide practical value in near-term quantum devices.

Presently there is a huge amount of activity examining numerous pathways to achieving this overarching objective. Much of the effort has focused on variational algorithms which distribute the computational load onto classical resources, thereby alleviating the demands on quantum hardware. Two popular examples of these hybrid quantum algorithms are the quantum approximate optimization algorithms (QAOA) and variational quantum eigensolvers (VQE). On top of this, the design and application of error mitigation techniques have demonstrated an impressive ability to extract useful information from noisy outputs, thereby enhancing the potential usefulness of near-term devices.  On the other hand, the exploration of ‘no-go’ theorems and classical methods for emulating quantum processes offer invaluable perspectives for calibrating our expectations of future quantum algorithms.

This Special Issue focuses on the roadmap, as well as the boundary, of the pursuit of applications with practical advantages on near-term quantum computers. Papers and review articles are invited to address the following topics:

  • Algorithms/applications that are suitable for near-term devices include variational algorithms and quantum machine learning;
  • Error mitigation techniques;
  • Optimization techniques for variational quantum algorithms;
  • Classical simulation of quantum algorithms;
  • Hardware-inspired design of algorithm/applications;
  • Limitations of quantum algorithms for solving classical problems;
  • Limitations of near-term quantum devices.

Dr. Daiwei Zhu
Dr. Jason Iaconis
Dr. Torin F. Stetina
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 error mitigation
  • quantum machine learning
  • near-term quantum computers
  • quantum algorithms
  • variational algorithms
  • heuristic algorithms
  • practical quantum advantages
  • quantum-inspired algorithms

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Published Papers (2 papers)

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Research

23 pages, 1738 KiB  
Article
Quantum Dynamics Framework with Quantum Tunneling Effect for Numerical Optimization
by Quan Tang and Peng Wang
Entropy 2025, 27(2), 150; https://doi.org/10.3390/e27020150 - 1 Feb 2025
Cited by 1 | Viewed by 827
Abstract
In recent years, optimization algorithms have developed rapidly, especially those which introduce quantum ideas, which perform excellently. Inspired by quantum thought, this paper proposes a quantum dynamics framework (QDF) which converts optimization problems into the problem of the constrained ground state of the [...] Read more.
In recent years, optimization algorithms have developed rapidly, especially those which introduce quantum ideas, which perform excellently. Inspired by quantum thought, this paper proposes a quantum dynamics framework (QDF) which converts optimization problems into the problem of the constrained ground state of the quantum system and analyzes optimization algorithms by simulating the dynamic evolution process of physical optimization systems in the ground state. Potential energy equivalence and Taylor expansion are performed on the objective function to obtain the basic iterative operations of optimization algorithms. Furthermore, a quantum dynamics framework based on the quantum tunneling effect (QDF-TE) is proposed which adopts dynamic multiple group collaborative sampling to improve the quantum tunneling effect of the QDF, thereby increasing the population diversity and improving algorithm performance. The probability distribution of solutions can be visually observed through the evolution of the wave function, which also indicates that the QDF-TE can strengthen the tunneling effect. The QDF-TE was evaluated on the CEC 2017 test suite and shown to be competitive with other heuristic optimization algorithms. The experimental results reveal the effectiveness of introducing a quantum mechanism to analyze and improve optimization algorithms. Full article
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17 pages, 6699 KiB  
Article
Quantum Physics-Informed Neural Networks
by Corey Trahan, Mark Loveland and Samuel Dent
Entropy 2024, 26(8), 649; https://doi.org/10.3390/e26080649 - 30 Jul 2024
Cited by 4 | Viewed by 7992
Abstract
In this study, the PennyLane quantum device simulator was used to investigate quantum and hybrid, quantum/classical physics-informed neural networks (PINNs) for solutions to both transient and steady-state, 1D and 2D partial differential equations. The comparative expressibility of the purely quantum, hybrid [...] Read more.
In this study, the PennyLane quantum device simulator was used to investigate quantum and hybrid, quantum/classical physics-informed neural networks (PINNs) for solutions to both transient and steady-state, 1D and 2D partial differential equations. The comparative expressibility of the purely quantum, hybrid and classical neural networks is discussed, and hybrid configurations are explored. The results show that (1) for some applications, quantum PINNs can obtain comparable accuracy with less neural network parameters than classical PINNs, and (2) adding quantum nodes in classical PINNs can increase model accuracy with less total network parameters for noiseless models. Full article
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