dorsal/arxiv
View SchemaMeasurement driven quantum evolution
| Authors | L. Roa, M. L. Ladron de Guevara, A. Delgado, A. Klimov |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0509173 |
| URL | https://arxiv.org/abs/quant-ph/0509173 |
| DOI | 10.1103/PhysRevA.73.012322 |
Abstract
We study the problem of mapping an unknown mixed quantum state onto a known pure state without the use of unitary transformations. This is achieved with the help of sequential measurements of two non-commuting observables only. We show that the overall success probability is maximized in the case of measuring two observables whose eigenstates define mutually unbiased bases. We find that for this optimal case the success probability quickly converges to unity as the number of measurement processes increases and that it is almost independent of the initial state. In particular, we show that to guarantee a success probability close to one the number of consecutive measurements must be larger than the dimension of the Hilbert space. We connect these results to quantum copying, quantum deleting and entanglement generation.
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"abstract": "We study the problem of mapping an unknown mixed quantum state onto a known\npure state without the use of unitary transformations. This is achieved with\nthe help of sequential measurements of two non-commuting observables only. We\nshow that the overall success probability is maximized in the case of measuring\ntwo observables whose eigenstates define mutually unbiased bases. We find that\nfor this optimal case the success probability quickly converges to unity as the\nnumber of measurement processes increases and that it is almost independent of\nthe initial state. In particular, we show that to guarantee a success\nprobability close to one the number of consecutive measurements must be larger\nthan the dimension of the Hilbert space. We connect these results to quantum\ncopying, quantum deleting and entanglement generation.",
"arxiv_id": "quant-ph/0509173",
"authors": [
"L. Roa",
"M. L. Ladron de Guevara",
"A. Delgado",
"A. Klimov"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.73.012322",
"title": "Measurement driven quantum evolution",
"url": "https://arxiv.org/abs/quant-ph/0509173"
},
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