dorsal/arxiv
View SchemaEfficient Classical Simulation of Continuous Variable Quantum Information Processes
| Authors | Stephen D. Bartlett, Barry C. Sanders, Samuel L. Braunstein, Kae Nemoto |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0109047 |
| URL | https://arxiv.org/abs/quant-ph/0109047 |
| DOI | 10.1103/PhysRevLett.88.097904 |
| Journal | Phys. Rev. Lett., 88, 097904 (2002) |
Abstract
We obtain sufficient conditions for the efficient simulation of a continuous variable quantum algorithm or process on a classical computer. The resulting theorem is an extension of the Gottesman-Knill theorem to continuous variable quantum information. For a collection of harmonic oscillators, any quantum process that begins with unentangled Gaussian states, performs only transformations generated by Hamiltonians that are quadratic in the canonical operators, and involves only measurements of canonical operators (including finite losses) and suitable operations conditioned on these measurements can be simulated efficiently on a classical computer.
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"abstract": "We obtain sufficient conditions for the efficient simulation of a continuous\nvariable quantum algorithm or process on a classical computer. The resulting\ntheorem is an extension of the Gottesman-Knill theorem to continuous variable\nquantum information. For a collection of harmonic oscillators, any quantum\nprocess that begins with unentangled Gaussian states, performs only\ntransformations generated by Hamiltonians that are quadratic in the canonical\noperators, and involves only measurements of canonical operators (including\nfinite losses) and suitable operations conditioned on these measurements can be\nsimulated efficiently on a classical computer.",
"arxiv_id": "quant-ph/0109047",
"authors": [
"Stephen D. Bartlett",
"Barry C. Sanders",
"Samuel L. Braunstein",
"Kae Nemoto"
],
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"quant-ph"
],
"doi": "10.1103/PhysRevLett.88.097904",
"journal_ref": "Phys. Rev. Lett., 88, 097904 (2002)",
"title": "Efficient Classical Simulation of Continuous Variable Quantum Information Processes",
"url": "https://arxiv.org/abs/quant-ph/0109047"
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