dorsal/arxiv
View SchemaUhlmann's geometric phase in presence of isotropic decoherence
| Authors | Jonas Tidström, Erik Sjöqvist |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0211187 |
| URL | https://arxiv.org/abs/quant-ph/0211187 |
| DOI | 10.1103/PhysRevA.67.032110 |
| Journal | Phys. Rev. A 67, 032110 (2003) |
Abstract
Uhlmann's mixed state geometric phase [Rep. Math. Phys. {\bf 24}, 229 (1986)] is analyzed in the case of a qubit affected by isotropic decoherence treated in the Markovian approximation. It is demonstrated that this phase decreases rapidly with increasing decoherence rate and that it is most fragile to weak decoherence for pure or nearly pure initial states. In the unitary case, we compare Uhlmann's geometric phase for mixed states with that occurring in standard Mach-Zehnder interferometry [Phys. Rev. Lett. {\bf 85}, 2845 (2000)] and show that the latter is more robust to reduction in the length of the Bloch vector. We also describe how Uhlmann's geometric phase in the present case could in principle be realized experimentally.
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"abstract": "Uhlmann\u0027s mixed state geometric phase [Rep. Math. Phys. {\\bf 24}, 229 (1986)]\nis analyzed in the case of a qubit affected by isotropic decoherence treated in\nthe Markovian approximation. It is demonstrated that this phase decreases\nrapidly with increasing decoherence rate and that it is most fragile to weak\ndecoherence for pure or nearly pure initial states. In the unitary case, we\ncompare Uhlmann\u0027s geometric phase for mixed states with that occurring in\nstandard Mach-Zehnder interferometry [Phys. Rev. Lett. {\\bf 85}, 2845 (2000)]\nand show that the latter is more robust to reduction in the length of the Bloch\nvector. We also describe how Uhlmann\u0027s geometric phase in the present case\ncould in principle be realized experimentally.",
"arxiv_id": "quant-ph/0211187",
"authors": [
"Jonas Tidstr\u00f6m",
"Erik Sj\u00f6qvist"
],
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"quant-ph"
],
"doi": "10.1103/PhysRevA.67.032110",
"journal_ref": "Phys. Rev. A 67, 032110 (2003)",
"title": "Uhlmann\u0027s geometric phase in presence of isotropic decoherence",
"url": "https://arxiv.org/abs/quant-ph/0211187"
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