Quantum simulations of physics problems

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If a large Quantum Computer (QC) existed today, what type of physical problems could we efficiently simulate on it that we could not efficiently 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, and we show quantum networks useful for the efficient evaluation ... continued below

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13 p.

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Somma, R. D. (Rolando D.); Ortiz, G. (Gerardo); Knill, E. H. (Emanuel H.) & Gubernatis, J. E. January 1, 2003.

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Description

If a large Quantum Computer (QC) existed today, what type of physical problems could we efficiently simulate on it that we could not efficiently 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, and we show quantum networks useful for the efficient evaluation of some physical properties, such as correlation functions and energy spectra.

Physical Description

13 p.

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  • Submitted to: Quantum information and Quantum computation SPIE's Aerosence 2003, April 21-25

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  • Report No.: LA-UR-03-2189
  • Grant Number: none
  • Office of Scientific & Technical Information Report Number: 976581
  • Archival Resource Key: ark:/67531/metadc933958

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Office of Scientific & Technical Information Technical Reports

Reports, articles and other documents harvested from the Office of Scientific and Technical Information.

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  • January 1, 2003

Added to The UNT Digital Library

  • Nov. 13, 2016, 7:26 p.m.

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  • Dec. 12, 2016, 4:35 p.m.

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Somma, R. D. (Rolando D.); Ortiz, G. (Gerardo); Knill, E. H. (Emanuel H.) & Gubernatis, J. E. Quantum simulations of physics problems, article, January 1, 2003; United States. (digital.library.unt.edu/ark:/67531/metadc933958/: accessed April 23, 2018), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.