dorsal/arxiv
View SchemaPurifying Quantum States: Quantum and Classical Algorithms
| Authors | Eric Dennis |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0503169 |
| URL | https://arxiv.org/abs/quant-ph/0503169 |
Abstract
I give analytical estimates and numerical simulation results for the performance of Kitaev's 2d topological error-correcting codes. By providing methods for the execution of an encoded three-qubit Toffoli gate, I complete a universal gate set for these codes. I also examine the utility of Bohm's and Bohm-inspired interpretations of quantum mechanics for numerical solution of many-body dynamics and ``mechanism identification'' heuristics in discrete systems. Further, I show an unexpected quantitative correspondence between the previously known continuum of stochastic-Bohm trajectory theories on the one hand and extant path integral Monte Carlo methods on the other hand.
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"abstract": "I give analytical estimates and numerical simulation results for the\nperformance of Kitaev\u0027s 2d topological error-correcting codes. By providing\nmethods for the execution of an encoded three-qubit Toffoli gate, I complete a\nuniversal gate set for these codes. I also examine the utility of Bohm\u0027s and\nBohm-inspired interpretations of quantum mechanics for numerical solution of\nmany-body dynamics and ``mechanism identification\u0027\u0027 heuristics in discrete\nsystems. Further, I show an unexpected quantitative correspondence between the\npreviously known continuum of stochastic-Bohm trajectory theories on the one\nhand and extant path integral Monte Carlo methods on the other hand.",
"arxiv_id": "quant-ph/0503169",
"authors": [
"Eric Dennis"
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"title": "Purifying Quantum States: Quantum and Classical Algorithms",
"url": "https://arxiv.org/abs/quant-ph/0503169"
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