Quantum algorithms for computational nuclear physics
Jakub Višňák,Jakub Višňák +1 more
- 01 Jul 2015
- Vol. 100, pp 01008
TL;DR: In this paper, the Iterative Phase Estimation Algorithm for deuterium and tritium nuclei energy level computation has been implemented on a real quantum computer, with the aim to prove algorithm feasibility and extensibility to heavier nuclei.
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Abstract: While quantum algorithms have been studied as an efficient tool for the stationary state energy determination in the case of molecular quantum systems, no similar study for analogical problems in computational nuclear physics (computation of energy levels of nuclei from empirical nucleon-nucleon or quark-quark potentials) have been realized yet. Although the difference between the above mentioned studies might seem negligible, it will be examined. First steps towards a particular simulation (on classical computer) of the Iterative Phase Estimation Algorithm for deuterium and tritium nuclei energy level computation will be carried out with the aim to prove algorithm feasibility (and extensibility to heavier nuclei) for its possible practical realization on a real quantum computer.
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Citations
Studies in perturbation theory. x- lower bounds to energy eigenvalues in perturbation theory
Per-Olov Löwdin
- 01 Jun 1964
TL;DR: Low bounds to energy eigenvalues in quantum theory problems by partitioning technique for positive perturbation are given in this paper, where the authors consider the problem of finding a low bound for the energy of a particle.
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Quantum algorithms for computational nuclear physics revisited, particular case of second quantized formulation
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Quantum simulation approach to implementing nuclear density functional theory via imaginary time evolution
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TL;DR: QITE algorithm implemented for nuclear density functional theory, demonstrating equivalence with classical algorithm for helium-4 nucleus.
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Quantum information science and its contributions to mathematics : American Mathematical Society Short Course, January 3-4, 2009, Washington, DC
Samuel J. Lomonaco
- 01 Jan 2010
TL;DR: This volume consists of two papers giving introductory surveys of many of the important topics in the newly emerging field of quantum computation and quantum information, i.e., quantum information science (QIS).
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