|
| related topics |
| {information, entropy, channel} |
| {let, theorem, proof} |
| {states, state, optimal} |
| {equation, function, exp} |
| {group, space, representation} |
| {cos, sin, state} |
| {state, states, entangled} |
| {vol, operators, histories} |
|
Note on purifications of a qubit
Tiberiu Constantinescu, Viswanath Ramakrishna
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.
- oai_identifier:
- oai:arXiv.org:quant-ph/0210091
- categories:
- quant-ph
- comments:
- Some of the results were presented at CRM Quantum Control Conference
from October 6th-11th 2002. 14 pages long. Manuscript originally scheduled
for October 8th, 2002 on this site, but did not due to illegibility of the
pdf version. Current replacement was intended to render the title in the text
of the manuscript agree with the title as it appears in the announcement.
There are no other changes
- arxiv_id:
- quant-ph/0210091
- created:
- 2002-10-11
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