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Guaranteed efficient energy estimation of quantum many-body Hamiltonians using ShadowGrouping
Nature CommunicationsEstimation of the energy of quantum many-body systems is a paradigmatic task in various research fields. In particular, efficient energy estimation may be crucial in achieving a quantum advantage for a practically relevant problem.
Alexander Gresch, Martin Kliesch
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Bayesian Optimization for QAOA
IEEE Transactions on Quantum Engineering, 2023 The quantum approximate optimization algorithm (QAOA) adopts a hybrid quantum-classical approach to find approximate solutions to variational optimization problems.
Simone Tibaldi +3 more
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Frontiers in PhysicsBeing immersed in the noisy intermediate-scale quantum (NISQ) era, current quantum annealers present limitations for solving optimization problems efficiently.
Eneko Osaba, Esther Villar-Rodriguez
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Quantum Optimization Algorithms
CoRRQuantum optimization allows for up to exponential quantum speedups for specific, possibly industrially relevant problems. As the key algorithm in this field, we motivate and discuss the Quantum Approximate Optimization Algorithm (QAOA), which can be understood as a slightly generalized version of Quantum Annealing for gate-based quantum computers.
Jonas Stein 0001 +3 more
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Optimized Quantum F-Divergences [PDF]
2018 IEEE International Symposium on Information Theory (ISIT), 2018 5 pages; shortened, more accessible version of arXiv:1710.10252; making publicly available due to public access mandate of US National Science Foundation and flag on Google ...
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The quantum mitochondrion and optimal health [PDF]
Biochemical Society Transactions, 2016 A sufficiently complex set of molecules, if subject to perturbation, will self-organize and show emergent behaviour. If such a system can take on information it will become subject to natural selection. This could explain how self-replicating molecules evolved into life and how intelligence arose.
Bell, J.D., Nunn, A.V.W., Guy, G.W.
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Improving the Solving of Optimization Problems: A Comprehensive Review of Quantum Approaches
Quantum ReportsOptimization is a crucial challenge across various domains, including finance, resource allocation, and mobility. Quantum computing has the potential to redefine the way we handle complex problems by reducing computational complexity and enhancing ...
Deborah Volpe +2 more
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Constrained optimization via quantum Zeno dynamics
Communications Physics, 2023 Constrained optimization problems are ubiquitous in science and industry. Quantum algorithms have shown promise in solving optimization problems, yet none of the current algorithms can effectively handle arbitrary constraints.
Dylan Herman +8 more
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Quantum Algorithms for Mixed Binary Optimization Applied to Transaction Settlement
IEEE Transactions on Quantum Engineering, 2021 In this article, we extend variational quantum optimization algorithms for quadratic unconstrained binary optimization problems to the class of mixed binary optimization problems.
Lee Braine +3 more
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