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4 August 2003 Quantum simulations of physics problems
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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.
© (2003) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
Rolando D. Somma, Gerardo Ortiz, Emanuel H. Knill, and James Gubernatis "Quantum simulations of physics problems", Proc. SPIE 5105, Quantum Information and Computation, (4 August 2003); https://doi.org/10.1117/12.487249
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