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Quantum Computing Algorithms and Computational Complexity
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This reprint is mainly concerned with quantum algorithms, their mathematics from behind and the complexity issues arising from them. It comprises seven papers: Two of them are focused on improving the performance by means of quantum algorithms over the best instances of classical ones: “A Fast Quantum Image Component Labeling Algorithm” [1] by Yan Li, Dapeng Hao, Yang Xu and Kinkeung Lai. “Quantum Algorithms for Some Strings Problems Based on Quantum String Comparator” [2] by Kamil Khadiev, Artem Ilikaev and Jevgenijs Vihrovs. Another four papers deal with enhanced quantum algorithms: “Progress towards Analytically Optimal Angles in Quantum Approximate Optimisation”: [3] by Daniil Rabinovich, Richik Sengupta, Ernesto Campos, Vishwanathan Akshay and Jacob Biamonte. “Quantum Weighted Fractional Fourier Transform” [4] by Tieyu Zhao, Tianyu Yang and Yingying Chi. “On the Amplitude Amplification of Quantum States Corresponding to the Solutions of the Partition Problem” [5] by Mauro Mezzini, Jose J. Paulet, Fernando Cuartero, Hernan I. Cruz and Fernando L. Pelayo. “On the Complexity of Finding the Maximum Entropy Compatible Quantum State” [6] by Serena Di Giorgio and Paulo Mateus. Last, but not least, one paper researched a classical operational research problem by means of quantum annealing: “GPS: A New TSP Formulation for Its Generalizations Type QUBO” [7] by Saul Gonzalez-Bermejo, Guillermo Alonso-Linaje and Parfait Atchade-Adelomou. As Guest Editors, we would like to thank the authors and reviewers who made this possible by promoting, spreading research on and supporting quantum computing.
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Keywords
- amplitude amplification
- Combinatorial optimization
- computational efficiency
- image component labeling
- Levialdi shrinking operator
- local operator
- Mathematics & science
- maximum von Neumann entropy
- n/a
- QAOA
- QSZK-completeness
- quantum algorithm
- quantum algorithms
- quantum annealing
- quantum circuit optimization
- quantum computation
- quantum computing
- quantum Fourier transform
- quantum image processing
- quantum Markov chains
- quantum weighted fractional Fourier transform
- QUBO
- Reference, information & interdisciplinary subjects
- Research & information: general
- sorting
- string processing
- subset sum problem
- TSP
- variatonal algorithms
- VRP
Links
DOI: 10.3390/books978-3-0365-7747-0Editions