dorsal/arxiv
View SchemaClassical simulation of noninteracting-fermion quantum circuits
| Authors | Barbara M. Terhal, David P. DiVincenzo |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0108010 |
| URL | https://arxiv.org/abs/quant-ph/0108010 |
| DOI | 10.1103/PhysRevA.65.032325 |
| Journal | Phys. Rev. A 65, 032325/1-10 (2002) |
Abstract
We show that a class of quantum computations that was recently shown to be efficiently simulatable on a classical computer by Valiant corresponds to a physical model of noninteracting fermions in one dimension. We give an alternative proof of his result using the language of fermions and extend the result to noninteracting fermions with arbitrary pairwise interactions, where gates can be conditioned on outcomes of complete von Neumann measurements in the computational basis on other fermionic modes in the circuit. This last result is in remarkable contrast with the case of noninteracting bosons where universal quantum computation can be achieved by allowing gates to be conditioned on classical bits (quant-ph/0006088).
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"abstract": "We show that a class of quantum computations that was recently shown to be\nefficiently simulatable on a classical computer by Valiant corresponds to a\nphysical model of noninteracting fermions in one dimension. We give an\nalternative proof of his result using the language of fermions and extend the\nresult to noninteracting fermions with arbitrary pairwise interactions, where\ngates can be conditioned on outcomes of complete von Neumann measurements in\nthe computational basis on other fermionic modes in the circuit. This last\nresult is in remarkable contrast with the case of noninteracting bosons where\nuniversal quantum computation can be achieved by allowing gates to be\nconditioned on classical bits (quant-ph/0006088).",
"arxiv_id": "quant-ph/0108010",
"authors": [
"Barbara M. Terhal",
"David P. DiVincenzo"
],
"categories": [
"quant-ph",
"cond-mat",
"cs.CC"
],
"doi": "10.1103/PhysRevA.65.032325",
"journal_ref": "Phys. Rev. A 65, 032325/1-10 (2002)",
"title": "Classical simulation of noninteracting-fermion quantum circuits",
"url": "https://arxiv.org/abs/quant-ph/0108010"
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