|
| related topics |
| {group, space, representation} |
| {states, state, optimal} |
| {information, entropy, channel} |
| {operator, operators, space} |
| {cos, sin, state} |
| {measurement, state, measurements} |
| {entanglement, phys, rev} |
| {state, states, coherent} |
| {state, states, entangled} |
| {bell, inequality, local} |
|
A probabilistic operator symbol framework for quantum information
M. A. Man'ko, V. I. Man'ko, R. Vilela Mendes
abstract: Hilbert space operators may be mapped onto a space of ordinary functions
(operator symbols) equipped with an associative (but noncommutative)
star-product. A unified framework for such maps is reviewed. Because of its
clear probabilistic interpretation, a particular class of operator symbols
(tomograms) is proposed as a framework for quantum information problems. Qudit
states are identified with maps of the unitary group into the simplex. The
image of the unitary group on the simplex provides a geometrical
characterization of the nature of the quantum states. Generalized measurements,
typical quantum channels, entropies and entropy inequalities are discussed in
this setting.
- oai_identifier:
- oai:arXiv.org:quant-ph/0602189
- categories:
- quant-ph
- comments:
- 37 pages Latex, 3 figures
- arxiv_id:
- quant-ph/0602189
- journal_ref:
- J. of Russian Laser Research 27 (2006) 507-532
- created:
- 2006-02-22
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