dorsal/arxiv
View SchemaType-II Quantum Algorithms
| Authors | Peter J. Love, Bruce M. Boghosian |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0506244 |
| URL | https://arxiv.org/abs/quant-ph/0506244 |
| DOI | 10.1016/j.physa.2005.09.017 |
Abstract
We review and analyze the hybrid quantum-classical NMR computing methodology referred to as Type-II quantum computing. We show that all such algorithms considered so far within this paradigm are equivalent to some classical lattice-Boltzmann scheme. We derive a sufficient and necessary constraint on the unitary operator representing the quantum mechanical part of the computation which ensures that the model reproduces the Boltzmann approximation of a lattice-gas model satisfying semi-detailed balance. Models which do not satisfy this constraint represent new lattice-Boltzmann schemes which cannot be formulated as the average over some underlying lattice gas. We close the paper with some discussion of the strengths, weaknesses and possible future direction of Type-II quantum computing.
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"abstract": "We review and analyze the hybrid quantum-classical NMR computing methodology\nreferred to as Type-II quantum computing. We show that all such algorithms\nconsidered so far within this paradigm are equivalent to some classical\nlattice-Boltzmann scheme. We derive a sufficient and necessary constraint on\nthe unitary operator representing the quantum mechanical part of the\ncomputation which ensures that the model reproduces the Boltzmann approximation\nof a lattice-gas model satisfying semi-detailed balance. Models which do not\nsatisfy this constraint represent new lattice-Boltzmann schemes which cannot be\nformulated as the average over some underlying lattice gas. We close the paper\nwith some discussion of the strengths, weaknesses and possible future direction\nof Type-II quantum computing.",
"arxiv_id": "quant-ph/0506244",
"authors": [
"Peter J. Love",
"Bruce M. Boghosian"
],
"categories": [
"quant-ph",
"cond-mat.stat-mech"
],
"doi": "10.1016/j.physa.2005.09.017",
"title": "Type-II Quantum Algorithms",
"url": "https://arxiv.org/abs/quant-ph/0506244"
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