dorsal/arxiv
View SchemaEfficiency of free energy calculations of spin lattices by spectral quantum algorithms
| Authors | Cyrus P. Master, Fumiko Yamaguchi, Yoshihisa Yamamoto |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0206100 |
| URL | https://arxiv.org/abs/quant-ph/0206100 |
| DOI | 10.1103/PhysRevA.67.032311 |
Abstract
Quantum algorithms are well-suited to calculate estimates of the energy spectra for spin lattice systems. These algorithms are based on the efficient calculation of the discrete Fourier components of the density of states. The efficiency of these algorithms in calculating the free energy per spin of general spin lattices to bounded error is examined. We find that the number of Fourier components required to bound the error in the free energy due to the broadening of the density of states scales polynomially with the number of spins in the lattice. However, the precision with which the Fourier components must be calculated is found to be an exponential function of the system size.
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"abstract": "Quantum algorithms are well-suited to calculate estimates of the energy\nspectra for spin lattice systems. These algorithms are based on the efficient\ncalculation of the discrete Fourier components of the density of states. The\nefficiency of these algorithms in calculating the free energy per spin of\ngeneral spin lattices to bounded error is examined. We find that the number of\nFourier components required to bound the error in the free energy due to the\nbroadening of the density of states scales polynomially with the number of\nspins in the lattice. However, the precision with which the Fourier components\nmust be calculated is found to be an exponential function of the system size.",
"arxiv_id": "quant-ph/0206100",
"authors": [
"Cyrus P. Master",
"Fumiko Yamaguchi",
"Yoshihisa Yamamoto"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.67.032311",
"title": "Efficiency of free energy calculations of spin lattices by spectral quantum algorithms",
"url": "https://arxiv.org/abs/quant-ph/0206100"
},
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