Quantum simulations of physics problems

Conference · Wed Jan 01 00:00:00 EST 2003

DOI:https://doi.org/10.1117/12.487249· OSTI ID:976581

Somma, R D ^[1]; Ortiz, G ^[2]; Knill, E H ^[3]; Gubernatis, J E

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1. Rolando D.
2. Gerardo
3. Emanuel H.

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.

• Research Organization: Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
• Sponsoring Organization: USDOE
• OSTI ID: 976581
• Report Number(s): LA-UR-03-2189; TRN: US201017%%727
• Resource Relation: Journal Volume: 5105; Conference: Submitted to: Quantum information and Quantum computation SPIE's Aerosence 2003, April 21-25
• Country of Publication: United States
• Language: English

Related Subjects

97 MATHEMATICAL METHODS AND COMPUTING
CORRELATION FUNCTIONS
ENERGY SPECTRA
EVALUATION
HILBERT SPACE
PHYSICAL PROPERTIES
PHYSICS
QUANTUM COMPUTERS
QUANTUM INFORMATION