0307067v3

related topics
{state, states, entangled}
{let, theorem, proof}
{entanglement, phys, rev}
{alice, bob, state}
{states, state, optimal}
{group, space, representation}
{bell, inequality, local}
{observables, space, algebra}

Multipartite entanglement in 2 x 2 x n quantum systems

Akimasa Miyake, Frank Verstraete

abstract: We classify multipartite entangled states in the 2 x 2 x n (n >= 4) quantum system, for example the 4-qubit system distributed over 3 parties, under local filtering operations. We show that there exist nine essentially different classes of states, and they give rise to a five-graded partially ordered structure, including the celebrated Greenberger-Horne-Zeilinger (GHZ) and W classes of 3 qubits. In particular, all 2 x 2 x n-states can be deterministically prepared from one maximally entangled state, and some applications like entanglement swapping are discussed.

oai_identifier:
oai:arXiv.org:quant-ph/0307067
categories:
quant-ph
comments:
9 pages, 3 eps figures
doi:
10.1103/PhysRevA.69.012101
arxiv_id:
quant-ph/0307067
journal_ref:
Phys. Rev. A 69, 012101 (2004)
created:
2003-07-09
updated:
2004-01-07

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