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Proceedings Paper

Quantum simulations of physics problems
Author(s): Rolando D. Somma; Gerardo Ortiz; Emanuel H. Knill; James Gubernatis
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Paper Abstract

If a large Quantum Computer (QC) existed today, what type of physical problems could we efficiently simulate on it that we could not simulate on a classical Turing machine? In this paper we argue that a QC could solve some relevant physical "questions" more efficiently. The existence of one-to-one mappings between different algebras of observables or between different Hilbert spaces allow us to represent and imitate any physical system by any other one (e.g., a bosonic system by a spin-1/2 system). We explain how these mappings can be performed showing quantum networks useful for the efficient evaluation of some physical properties, such as correlation functions and energy spectra.

Paper Details

Date Published: 4 August 2003
PDF: 8 pages
Proc. SPIE 5105, Quantum Information and Computation, (4 August 2003); doi: 10.1117/12.487249
Show Author Affiliations
Rolando D. Somma, Los Alamos National Lab. (United States)
Gerardo Ortiz, Los Alamos National Lab. (United States)
Emanuel H. Knill, Los Alamos National Lab. (United States)
James Gubernatis, Los Alamos National Lab. (United States)

Published in SPIE Proceedings Vol. 5105:
Quantum Information and Computation
Eric Donkor; Andrew R. Pirich; Howard E. Brandt, Editor(s)

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