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| related topics |
| {let, theorem, proof} |
| {equation, function, exp} |
| {group, space, representation} |
| {entanglement, phys, rev} |
| {state, phys, rev} |
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| {operator, operators, space} |
| {error, code, errors} |
| {phase, path, phys} |
| {cos, sin, state} |
|
A concise guide to complex Hadamard matrices
Wojciech Tadej, Karol Zyczkowski
abstract: Complex Hadamard matrices, consisting of unimodular entries with arbitrary
phases, play an important role in the theory of quantum information. We review
basic properties of complex Hadamard matrices and present a catalogue of
inequivalent cases known for dimension N=2,...,16. In particular, we explicitly
write down some families of complex Hadamard matrices for N=12,14 and 16, which
we could not find in the existing literature.
- oai_identifier:
- oai:arXiv.org:quant-ph/0512154
- categories:
- quant-ph math.CO math.RA
- comments:
- 56 pages, no figures, an updated on line version at
http://chaos.if.uj.edu.pl/~karol/hadamard/
- arxiv_id:
- quant-ph/0512154
- journal_ref:
- Open Syst. Inf. Dyn. 13, 133-177 (2006)
- created:
- 2005-12-19
- updated:
- 2006-05-25
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