dorsal/arxiv
View SchemaReconsidering Rapid Qubit Purification by Feedback
| Authors | H. M. Wiseman, J. F. Ralph |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0603062 |
| URL | https://arxiv.org/abs/quant-ph/0603062 |
| DOI | 10.1088/1367-2630/8/6/090 |
| Journal | New J. Phys. 8 (2006) 90 |
Abstract
This paper reconsiders the claimed rapidity of a scheme for the purification of the quantum state of a qubit, proposed recently in Jacobs 2003 Phys. Rev. A67 030301(R). The qubit starts in a completely mixed state, and information is obtained by a continuous measurement. Jacobs' rapid purification protocol uses Hamiltonian feedback control to maximise the average purity of the qubit for a given time, with a factor of two increase in the purification rate over the no-feedback protocol. However, by re-examining the latter approach, we show that it mininises the average time taken for a qubit to reach a given purity. In fact, the average time taken for the no-feedback protocol beats that for Jacobs' protocol by a factor of two. We discuss how this is compatible with Jacobs' result, and the usefulness of the different approaches.
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"abstract": "This paper reconsiders the claimed rapidity of a scheme for the purification\nof the quantum state of a qubit, proposed recently in Jacobs 2003 Phys. Rev.\nA67 030301(R). The qubit starts in a completely mixed state, and information is\nobtained by a continuous measurement. Jacobs\u0027 rapid purification protocol uses\nHamiltonian feedback control to maximise the average purity of the qubit for a\ngiven time, with a factor of two increase in the purification rate over the\nno-feedback protocol. However, by re-examining the latter approach, we show\nthat it mininises the average time taken for a qubit to reach a given purity.\nIn fact, the average time taken for the no-feedback protocol beats that for\nJacobs\u0027 protocol by a factor of two. We discuss how this is compatible with\nJacobs\u0027 result, and the usefulness of the different approaches.",
"arxiv_id": "quant-ph/0603062",
"authors": [
"H. M. Wiseman",
"J. F. Ralph"
],
"categories": [
"quant-ph"
],
"doi": "10.1088/1367-2630/8/6/090",
"journal_ref": "New J. Phys. 8 (2006) 90",
"title": "Reconsidering Rapid Qubit Purification by Feedback",
"url": "https://arxiv.org/abs/quant-ph/0603062"
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