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Quantum Simulations of Physics Problems

Rolando Somma·Gerardo Ortiz·Emanuel Knill·James Gubernatis
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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.

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Rolando Somma, Gerardo Ortiz, Emanuel Knill, James Gubernatis. 2003-04-09. Quantum Simulations of Physics Problems. https://doi.org/10.1117/12.487249

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