0504169v1

related topics
{entanglement, phys, rev}
{let, theorem, proof}
{equation, function, exp}
{state, states, entangled}
{states, state, optimal}
{state, algorithm, problem}
{operator, operators, space}
{group, space, representation}
{state, states, coherent}
{information, entropy, channel}

An asymptotical separability criterion for bipartite density operators

Roman R. Zapatrin

abstract: For a given density matrix $\rho$ of a bipartite quantum system an asymptotical separability criterion is suggested. Using the continuous ensemble method, a sequence of separable density matrices is built which converges to $\rho$ if and only if $\rho$ is separable. The convergence speed is evaluated and for any given tolerance parameter $\kappa$ an iterative procedure is suggested which decides in finite number of steps if there exists a separable density matrix $\rho_\kappa$ which differs from the matrix $\rho$ by at most $\kappa$.

oai_identifier:
oai:arXiv.org:quant-ph/0504169
categories:
quant-ph
comments:
12 pages, LaTeX
arxiv_id:
quant-ph/0504169
created:
2005-04-22

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