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

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

Deadline for manuscript submissions: 31 December 2024 | Viewed by 6703

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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

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Keywords

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

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Published Papers (3 papers)

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Research

14 pages, 1252 KiB  
Article
Reverse Quantum Annealing Assisted by Forward Annealing
by Manpreet Singh Jattana
Quantum Rep. 2024, 6(3), 452-464; https://doi.org/10.3390/quantum6030030 - 23 Aug 2024
Viewed by 680
Abstract
Quantum annealers conventionally use forward annealing to generate heuristic solutions. Reverse annealing can potentially generate better solutions but necessitates an appropriate initial state. Ways to find such states are generally unknown or highly problem dependent, offer limited success, and severely restrict the scope [...] Read more.
Quantum annealers conventionally use forward annealing to generate heuristic solutions. Reverse annealing can potentially generate better solutions but necessitates an appropriate initial state. Ways to find such states are generally unknown or highly problem dependent, offer limited success, and severely restrict the scope of reverse annealing. We use a general method that improves the overall solution quality and quantity by feeding reverse annealing with low-quality solutions obtained from forward annealing. An experimental demonstration of solving the graph coloring problem using the D-Wave quantum annealers shows that our method is able to convert invalid solutions obtained from forward annealing to at least one valid solution obtained after assisted reverse annealing for 57% of 459 random Erdos–Rényi graphs. Our method significantly outperforms random initial states, obtains more unique solutions on average, and widens the applicability of reverse annealing. Although the average number of valid solutions obtained drops exponentially with the problem size, a scaling analysis for the graph coloring problem shows that our method effectively extends the computational reach of conventional forward annealing using reverse annealing. Full article
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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://doi.org/10.3390/quantum6010001 - 24 Dec 2023
Viewed by 2367
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://doi.org/10.3390/quantum5040041 - 1 Oct 2023
Viewed by 2094
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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