6 research outputs found
Locally accessible information: How much can the parties gain by cooperating?
We investigate measurements of bipartite ensembles restricted to local
operations and classical communication and find a universal Holevo-like upper
bound on the locally accessible information. We analyze our bound and exhibit a
class of states which saturate it. Finally, we link the bound to the problem of
quantification of the nonlocality of the operations necessary to extract
locally unaccessible information.Comment: 4 pages, no figures, RevTeX4; v2: a conjecture partially proven,
results unchanged; v3: small changes in presentation, published versio
Protocols for entanglement transformations of bipartite pure states
We present a general theoretical framework for both deterministic and
probabilistic entanglement transformations of bipartite pure states achieved
via local operations and classical communication. This framework unifies and
greatly simplifies previous works. A necessary condition for ``pure
contraction'' transformations is given. Finally, constructive protocols to
achieve both probabilistic and deterministic entanglement transformations are
presented.Comment: 7 pages, no figures. Version slightly modified on Physical Review A
reques
Parity proofs of the Kochen-Specker theorem based on the 24 rays of Peres
A diagrammatic representation is given of the 24 rays of Peres that makes it
easy to pick out all the 512 parity proofs of the Kochen-Specker theorem
contained in them. The origin of this representation in the four-dimensional
geometry of the rays is pointed out.Comment: 14 pages, 6 figures and 3 tables. Three references have been added.
Minor typos have been correcte
Local environment can enhance fidelity of quantum teleportation
We show how an interaction with the environment can enhance fidelity of
quantum teleportation. To this end, we present examples of states which cannot
be made useful for teleportation by any local unitary transformations;
nevertheless, after being subjected to a dissipative interaction with the local
environment, the states allow for teleportation with genuinely quantum
fidelity. The surprising fact here is that the necessary interaction does not
require any intelligent action from the parties sharing the states. In passing,
we produce some general results regarding optimization of teleportation
fidelity by local action. We show that bistochastic processes cannot improve
fidelity of two-qubit states. We also show that in order to have their fidelity
improvable by a local process, the bipartite states must violate the so-called
reduction criterion of separability.Comment: 9 pages, Revte
Dynamics of quantum entanglement
A model of discrete dynamics of entanglement of bipartite quantum state is
considered. It involves a global unitary dynamics of the system and periodic
actions of local bistochastic or decaying channel. For initially pure states
the decay of entanglement is accompanied with an increase of von Neumann
entropy of the system. We observe and discuss revivals of entanglement due to
unitary interaction of both subsystems. For some mixed states having different
marginal entropies of both subsystems (one of them larger than the global
entropy and the other one one smaller) we find an asymmetry in speed of
entanglement decay. The entanglement of these states decreases faster, if the
depolarizing channel acts on the "classical" subsystem, characterized by
smaller marginal entropy.Comment: 10 pages, Revtex, 10 figures, refined versio