|
| related topics |
| {group, space, representation} |
| {states, state, optimal} |
| {entanglement, phys, rev} |
| {let, theorem, proof} |
| {theory, mechanics, state} |
| {state, algorithm, problem} |
| {equation, function, exp} |
| {qubit, qubits, gate} |
| {algorithm, log, probability} |
| {photon, photons, single} |
|
A complete set of covariants of the four qubit system
E. Briand, J. -G. Luque, J. -Y. Thibon
abstract: We obtain a complete and minimal set of 170 generators for the algebra of
$SL(2,\C)^{\times 4}$-covariants of a binary quadrilinear form. Interpreted in
terms of a four qubit system, this describes in particular the algebraic
varieties formed by the orbits of local filtering operations in its projective
Hilbert space. Also, this sheds some light on the local unitary invariants, and
provides all the possible building blocks for the construction of entanglement
measures for such a system.
- oai_identifier:
- oai:arXiv.org:quant-ph/0304026
- categories:
- quant-ph
- comments:
- 14 pages, IOP macros; slightly expanded version
- doi:
- 10.1088/0305-4470/36/38/309
- arxiv_id:
- quant-ph/0304026
- created:
- 2003-04-03
- updated:
- 2003-06-27
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