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Quantum CPU and Quantum Algorithm [PDF]
Cheses Phys. Lett. Vol.19 p620 (2002) [ been shorten and revised], 1999 Making use of an universal quantum network -- QCPU proposed by me\upcite{My1}, it is obtained that the whole quantum network which can implement some the known quantum algorithms including Deutsch algorithm, quantum Fourier transformation, Shor's algorithm and Grover's algorithm.
arxiv +6 more sources
Coherence Depletion in Quantum Algorithms [PDF]
Entropy, 2019 Besides the superior efficiency compared to their classical counterparts, quantum algorithms known so far are basically task-dependent, and scarcely any common features are shared between them. In this work, however, we show that the depletion of quantum
Ye-Chao Liu +2 more
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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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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.
Patrick J. Coles +16 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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Quantum algorithm for credit valuation adjustments
New Journal of Physics, 2022 Quantum mechanics is well known to accelerate statistical sampling processes over classical techniques. In quantitative finance, statistical samplings arise broadly in many use cases.
Javier Alcazar +6 more
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Quantum K-nearest neighbors classification algorithm based on Mahalanobis distance
Frontiers in Physics, 2022 Mahalanobis distance is a distance measure that takes into account the relationship between features. In this paper, we proposed a quantum KNN classification algorithm based on the Mahalanobis distance, which combines the classical KNN algorithm with ...
Li-Zhen Gao +5 more
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Quantum geometry and quantum algorithms [PDF]
Journal of Physics A: Mathematical and Theoretical, 2007 Submitted to J. Phys. A: Math-Gen, for the special issue ``The Quantum Universe'' in honor of G.
Garnerone Silvano +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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Quantum annealing with twisted fields
New Journal of Physics, 2022 Quantum annealing (QA) is a promising method for solving combinational optimization problems and performing quantum chemical calculations. The main sources of errors in QA are the effects of decoherence and non-adiabatic transition.
Takashi Imoto +3 more
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