dorsal/arxiv
View SchemaNote on purifications of a qubit
| Authors | Tiberiu Constantinescu, Viswanath Ramakrishna |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0210091 |
| URL | https://arxiv.org/abs/quant-ph/0210091 |
Abstract
This work provides a parametrization of the set of purifications of a 2x2 mixed state, and joint purifications (if any) of a given pair of mixed 2x2 states. The former is parametrized by SO(3, R), while the latter is parametrized by SO(2,R), except when the 2x2 state is pure. Using this parametrization some quantum information measures are obtained. In the process it is shown how to solve one variation of the classical Procustes problem. The appendix is devoted to the first step in extending this work to higher dimensions.
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"abstract": "This work provides a parametrization of the set of purifications of a 2x2\nmixed state, and joint purifications (if any) of a given pair of mixed 2x2\nstates. The former is parametrized by SO(3, R), while the latter is\nparametrized by SO(2,R), except when the 2x2 state is pure. Using this\nparametrization some quantum information measures are obtained. In the process\nit is shown how to solve one variation of the classical Procustes problem. The\nappendix is devoted to the first step in extending this work to higher\ndimensions.",
"arxiv_id": "quant-ph/0210091",
"authors": [
"Tiberiu Constantinescu",
"Viswanath Ramakrishna"
],
"categories": [
"quant-ph"
],
"title": "Note on purifications of a qubit",
"url": "https://arxiv.org/abs/quant-ph/0210091"
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