Preparation of Many-Body States for Quantum Simulation

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Preparation of Many-Body States for Quantum Simulation

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Title: Preparation of Many-Body States for Quantum Simulation
Author: Ward, Nicholas J.; Kassal, Ivan; Aspuru-Guzik, Alan

Note: Order does not necessarily reflect citation order of authors.

Citation: Ward, Nicholas J., Ivan Kassal, and Alán Aspuru-Guzik. 2009. Preparation of many-body states for quantum simulation. Journal of Chemical Physics 130(19): 194105.
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Abstract: While quantum computers are capable of simulating many quantum systems efficiently, the simulation algorithms must begin with the preparation of an appropriate initial state. We present a method for generating physically relevant quantum states on a lattice in real space. In particular, the present algorithm is able to prepare general pure and mixed many-particle states of any number of particles. It relies on a procedure for converting from a second-quantized state to its first-quantized counterpart. The algorithm is efficient in that it operates in time that is polynomial in all the essential descriptors of the system, the number of particles, the resolution of the lattice, and the inverse of the maximum final error. This scaling holds under the assumption that the wave function to be prepared is bounded or its indefinite integral is known and that the Fock operator of the system is efficiently simulatable.
Published Version: doi:10.1063/1.3115177
Other Sources: http://arxiv.org/abs/0812.2681
Terms of Use: This article is made available under the terms and conditions applicable to Open Access Policy Articles, as set forth at http://nrs.harvard.edu/urn-3:HUL.InstRepos:dash.current.terms-of-use#OAP
Citable link to this page: http://nrs.harvard.edu/urn-3:HUL.InstRepos:4648875

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  • FAS Scholarly Articles [7374]
    Peer reviewed scholarly articles from the Faculty of Arts and Sciences of Harvard University
 
 

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