dorsal/arxiv
View SchemaEstimation of the Local Density of States on a Quantum Computer
| Authors | Joseph Emerson, Seth Lloyd, David Poulin, David Cory |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0308164 |
| URL | https://arxiv.org/abs/quant-ph/0308164 |
| DOI | 10.1103/PhysRevA.69.050305 |
| Journal | Phys.Rev. A69 (2004) 050305 |
Abstract
We report an efficient quantum algorithm for estimating the local density of states (LDOS) on a quantum computer. The LDOS describes the redistribution of energy levels of a quantum system under the influence of a perturbation. Sometimes known as the ``strength function'' from nuclear spectroscopy experiments, the shape of the LDOS is directly related to the survivial probability of unperturbed eigenstates, and has recently been related to the fidelity decay (or ``Loschmidt echo'') under imperfect motion-reversal. For quantum systems that can be simulated efficiently on a quantum computer, the LDOS estimation algorithm enables an exponential speed-up over direct classical computation.
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"abstract": "We report an efficient quantum algorithm for estimating the local density of\nstates (LDOS) on a quantum computer. The LDOS describes the redistribution of\nenergy levels of a quantum system under the influence of a perturbation.\nSometimes known as the ``strength function\u0027\u0027 from nuclear spectroscopy\nexperiments, the shape of the LDOS is directly related to the survivial\nprobability of unperturbed eigenstates, and has recently been related to the\nfidelity decay (or ``Loschmidt echo\u0027\u0027) under imperfect motion-reversal. For\nquantum systems that can be simulated efficiently on a quantum computer, the\nLDOS estimation algorithm enables an exponential speed-up over direct classical\ncomputation.",
"arxiv_id": "quant-ph/0308164",
"authors": [
"Joseph Emerson",
"Seth Lloyd",
"David Poulin",
"David Cory"
],
"categories": [
"quant-ph",
"cond-mat.other",
"nlin.CD",
"nucl-th"
],
"doi": "10.1103/PhysRevA.69.050305",
"journal_ref": "Phys.Rev. A69 (2004) 050305",
"title": "Estimation of the Local Density of States on a Quantum Computer",
"url": "https://arxiv.org/abs/quant-ph/0308164"
},
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