Quantum Computing: A Taxonomy, Systematic Review, and Future Directions

A special issue of Quantum Reports (ISSN 2624-960X).

Deadline for manuscript submissions: 31 July 2024 | Viewed by 3818

Special Issue Editor


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Department of Computer Science and Electrical Engineering, Marshall University, 1 John Marshall Drive, Huntington, WV 25755, USA
Interests: high computing performance; next-generation computing and telecommunication; digital communication networks; high-speed networks
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Special Issue Information

Dear Colleagues,

This special issue welcomes the submission of new advanced and substantial contributions on state-of-the-art quantum computing as well as on the current body of knowledge on quantum information. This may include research on emerging trends in high-performance computing, quantum computing, hybrid classical and quantum computing approaches, demonstrations of quantum advantages, technology milestones in quantum networks and infrastructures, or quantum information processes in biological systems.

Dr. Yousef Fazea
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. Quantum Reports is an international peer-reviewed open access quarterly 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 1400 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

  • high-performance computing
  • quantum computing
  • photonic quantum computing
  • quantum communications
  • quantum machine learning
  • quantum imaging and sensing
  • quantum education

Published Papers (2 papers)

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Research

13 pages, 2016 KiB  
Article
The Quantum Amplitude Estimation Algorithms on Near-Term Devices: A Practical Guide
by Marco Maronese, Massimiliano Incudini, Luca Asproni and Enrico Prati
Quantum Rep. 2024, 6(1), 1-13; https://0-doi-org.brum.beds.ac.uk/10.3390/quantum6010001 - 24 Dec 2023
Viewed by 1269
Abstract
The Quantum Amplitude Estimation (QAE) algorithm is a major quantum algorithm designed to achieve a quadratic speed-up. Until fault-tolerant quantum computing is achieved, being competitive over classical Monte Carlo (MC) remains elusive. Alternative methods have been developed so as to require fewer resources [...] Read more.
The Quantum Amplitude Estimation (QAE) algorithm is a major quantum algorithm designed to achieve a quadratic speed-up. Until fault-tolerant quantum computing is achieved, being competitive over classical Monte Carlo (MC) remains elusive. Alternative methods have been developed so as to require fewer resources while maintaining an advantageous theoretical scaling. We compared the standard QAE algorithm with two Noisy Intermediate-Scale Quantum (NISQ)-friendly versions of QAE on a numerical integration task, with the Monte Carlo technique of Metropolis–Hastings as a classical benchmark. The algorithms were evaluated in terms of the estimation error as a function of the number of samples, computational time, and length of the quantum circuits required by the solutions, respectively. The effectiveness of the two QAE alternatives was tested on an 11-qubit trapped-ion quantum computer in order to verify which solution can first provide a speed-up in the integral estimation problems. We concluded that an alternative approach is preferable with respect to employing the phase estimation routine. Indeed, the Maximum Likelihood estimation guaranteed the best trade-off between the length of the quantum circuits and the precision in the integral estimation, as well as greater resistance to noise. Full article
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34 pages, 9544 KiB  
Article
Variational Amplitude Amplification for Solving QUBO Problems
by Daniel Koch, Massimiliano Cutugno, Saahil Patel, Laura Wessing and Paul M. Alsing
Quantum Rep. 2023, 5(4), 625-658; https://0-doi-org.brum.beds.ac.uk/10.3390/quantum5040041 - 01 Oct 2023
Viewed by 1472
Abstract
We investigate the use of amplitude amplification on the gate-based model of quantum computing as a means for solving combinatorial optimization problems. This study focuses primarily on quadratic unconstrained binary optimization (QUBO) problems, which are well-suited for qubit superposition states. Specifically, we demonstrate [...] Read more.
We investigate the use of amplitude amplification on the gate-based model of quantum computing as a means for solving combinatorial optimization problems. This study focuses primarily on quadratic unconstrained binary optimization (QUBO) problems, which are well-suited for qubit superposition states. Specifically, we demonstrate circuit designs which encode QUBOs as ‘cost oracle’ operations UC, which distribute phases across the basis states proportional to a cost function. We then show that when UC is combined with the standard Grover diffusion operator Us, one can achieve high probabilities of measurement for states corresponding to optimal and near optimal solutions while still only requiring O(π42N/M) iterations. In order to achieve these probabilities, a single scalar parameter ps is required, which we show can be found through a variational quantum–classical hybrid approach and can be used for heuristic solutions. Full article
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