dorsal/arxiv
View SchemaNumerical Analysis of Boosting Scheme for Scalable NMR Quantum Computation
| Authors | Akira SaiToh, Masahiro Kitagawa |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0305097 |
| URL | https://arxiv.org/abs/quant-ph/0305097 |
| DOI | 10.1103/PhysRevA.71.022303 |
| Journal | Physical Review A 71, 022303 (2005) |
Abstract
Among initialization schemes for ensemble quantum computation beginning at thermal equilibrium, the scheme proposed by Schulman and Vazirani [L. J. Schulman and U. V. Vazirani, in Proceedings of the 31st ACM Symposium on Theory of Computing (STOC'99) (ACM Press, New York, 1999), pp. 322-329] is known for the simple quantum circuit to redistribute the biases (polarizations) of qubits and small time complexity. However, our numerical simulation shows that the number of qubits initialized by the scheme is rather smaller than expected from the von Neumann entropy because of an increase in the sum of the binary entropies of individual qubits, which indicates a growth in the total classical correlation. This result--namely, that there is such a significant growth in the total binary entropy--disagrees with that of their analysis.
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"abstract": "Among initialization schemes for ensemble quantum computation beginning at\nthermal equilibrium, the scheme proposed by Schulman and Vazirani [L. J.\nSchulman and U. V. Vazirani, in Proceedings of the 31st ACM Symposium on Theory\nof Computing (STOC\u002799) (ACM Press, New York, 1999), pp. 322-329] is known for\nthe simple quantum circuit to redistribute the biases (polarizations) of qubits\nand small time complexity. However, our numerical simulation shows that the\nnumber of qubits initialized by the scheme is rather smaller than expected from\nthe von Neumann entropy because of an increase in the sum of the binary\nentropies of individual qubits, which indicates a growth in the total classical\ncorrelation. This result--namely, that there is such a significant growth in\nthe total binary entropy--disagrees with that of their analysis.",
"arxiv_id": "quant-ph/0305097",
"authors": [
"Akira SaiToh",
"Masahiro Kitagawa"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.71.022303",
"journal_ref": "Physical Review A 71, 022303 (2005)",
"title": "Numerical Analysis of Boosting Scheme for Scalable NMR Quantum Computation",
"url": "https://arxiv.org/abs/quant-ph/0305097"
},
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