dorsal/arxiv
View SchemaQuantum Simulations of Physics Problems
| Authors | Rolando Somma, Gerardo Ortiz, Emanuel Knill, James Gubernatis |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0304063 |
| URL | https://arxiv.org/abs/quant-ph/0304063 |
| DOI | 10.1117/12.487249 |
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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"abstract": "If a large Quantum Computer (QC) existed today, what type of physical\nproblems could we efficiently simulate on it that we could not simulate on a\nclassical Turing machine? In this paper we argue that a QC could solve some\nrelevant physical \"questions\" more efficiently. The existence of one-to-one\nmappings between different algebras of observables or between different Hilbert\nspaces allow us to represent and imitate any physical system by any other one\n(e.g., a bosonic system by a spin-1/2 system). We explain how these mappings\ncan be performed showing quantum networks useful for the efficient evaluation\nof some physical properties, such as correlation functions and energy spectra.",
"arxiv_id": "quant-ph/0304063",
"authors": [
"Rolando Somma",
"Gerardo Ortiz",
"Emanuel Knill",
"James Gubernatis"
],
"categories": [
"quant-ph"
],
"doi": "10.1117/12.487249",
"title": "Quantum Simulations of Physics Problems",
"url": "https://arxiv.org/abs/quant-ph/0304063"
},
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