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Variational quantum algorithms [PDF]
Nature Reviews Physics, 2021 Applications such as simulating complicated quantum systems or solving large-scale linear algebra problems are very challenging for classical computers due to the extremely high computational cost. Quantum computers promise a solution, although fault-tolerant quantum computers will likely not be available in the near future.
Marco Cerezo +2 more
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Multiscale quantum algorithms for quantum chemistry. [PDF]
Chem Sci, 2023 We propose a multiscale quantum computing framework suitable for efficient simulations of complex chemical systems on near-term quantum devices.
Ma H +5 more
europepmc +3 more sources
Grand Unification of Quantum Algorithms
PRX Quantum, 2021 Quantum algorithms offer significant speed-ups over their classical counterparts for a variety of problems. The strongest arguments for this advantage are borne by algorithms for quantum search, quantum phase estimation, and Hamiltonian simulation, which
John M. Martyn +3 more
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Quantum algorithms revisited [PDF]
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 1998 18 pages, LaTeX, 7 figures. Submitted to Proc. Roy. Soc.
R. CLEVE +3 more
exaly +4 more sources
Quantum Algorithms for Quantum Chemistry and Quantum Materials Science [PDF]
Chemical Reviews, 2020 33 pages, 21 ...
Bela Bauer, Sergey Bravyi, Mario Motta
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Quantum Genetic Algorithms for Computer Scientists
Computers, 2016 Genetic algorithms (GAs) are a class of evolutionary algorithms inspired by Darwinian natural selection. They are popular heuristic optimisation methods based on simulated genetic mechanisms, i.e., mutation, crossover, etc.
Rafael Lahoz-Beltra
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Quantum algorithmic measurement [PDF]
Nature Communications, 2022 AbstractThere has been recent promising experimental and theoretical evidence that quantum computational tools might enhance the precision and efficiency of physical experiments. However, a systematic treatment and comprehensive framework are missing.
Dorit Aharonov +2 more
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Quantum algorithmic differentiation [PDF]
Quantum Information and Computation, 2021 In this work we present an algorithm to perform algorithmic differentiation in the context of quantum computing. We present two versions of the algorithm, one which is fully quantum and one which employees a classical step (hybrid approach). Since the implementation of elementary functions is already possible on quantum computers, the scheme that we ...
Giuseppe Colucci, Francesco Giacosa
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Power Network Optimization: A Quantum Approach
IEEE Access, 2023 Optimization of electricity surplus is a crucial element for transmission power networks since it leads to reducing costs as well as increasing efficiency across the network as a whole.
Giuseppe Colucci +2 more
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A quantum–quantum Metropolis algorithm [PDF]
Proceedings of the National Academy of Sciences, 2012 The classical Metropolis sampling method is a cornerstone of many statistical modeling applications that range from physics, chemistry, and biology to economics. This method is particularly suitable for sampling the thermal distributions of classical systems. The challenge of extending this method to the simulation of arbitrary quantum systems is that,
Yung, Man-Hong, Aspuru-Guzik, Alan
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