dorsal/arxiv
View SchemaMonte Carlo Simulation of Quantum Computation
| Authors | N. J. Cerf, S. E. Koonin |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9703050 |
| URL | https://arxiv.org/abs/quant-ph/9703050 |
| Journal | Math. and Comp. in Simulation 47 (1998), 143-152 |
Abstract
The many-body dynamics of a quantum computer can be reduced to the time evolution of non-interacting quantum bits in auxiliary fields by use of the Hubbard-Stratonovich representation of two-bit quantum gates in terms of one-bit gates. This makes it possible to perform the stochastic simulation of a quantum algorithm, based on the Monte Carlo evaluation of an integral of dimension polynomial in the number of quantum bits. As an example, the simulation of the quantum circuit for the Fast Fourier Transform is discussed.
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"abstract": "The many-body dynamics of a quantum computer can be reduced to the time\nevolution of non-interacting quantum bits in auxiliary fields by use of the\nHubbard-Stratonovich representation of two-bit quantum gates in terms of\none-bit gates. This makes it possible to perform the stochastic simulation of a\nquantum algorithm, based on the Monte Carlo evaluation of an integral of\ndimension polynomial in the number of quantum bits. As an example, the\nsimulation of the quantum circuit for the Fast Fourier Transform is discussed.",
"arxiv_id": "quant-ph/9703050",
"authors": [
"N. J. Cerf",
"S. E. Koonin"
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"journal_ref": "Math. and Comp. in Simulation 47 (1998), 143-152",
"title": "Monte Carlo Simulation of Quantum Computation",
"url": "https://arxiv.org/abs/quant-ph/9703050"
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