0604202v1

related topics
{states, state, optimal}
{group, space, representation}
{entanglement, phys, rev}
{bell, inequality, local}
{qubit, qubits, gate}
{algorithm, log, probability}
{let, theorem, proof}
{equation, function, exp}
{state, states, entangled}

Unitary invariants of qubit systems

Frederic Toumazet, Jean-Gabriel Luque, Jean-Yves Thibon

abstract: We give an algorithm allowing to construct bases of local unitary invariants of pure k-qubit states from the knowledge of polynomial covariants of the group of invertible local filtering operations. The simplest invariants obtained in this way are explicited and compared to various known entanglement measures. Complete sets of generators are obtained for up to four qubits, and the structure of the invariant algebras is discussed in detail.

oai_identifier:
oai:arXiv.org:quant-ph/0604202
categories:
quant-ph
comments:
19 pages, 1 figure
arxiv_id:
quant-ph/0604202
created:
2006-04-27

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