108 research outputs found
Bound entanglement provides convertibility of pure entangled states
I show that two distant parties can transform pure entangled states to
arbitrary pure states by stochastic local operations and classical
communication (SLOCC) at the single copy level, if they share bound entangled
states. This is the effect of bound entanglement since this entanglement
processing is impossible by SLOCC alone. Similar effect of bound entanglement
occurs in three qubits where two incomparable entangled states of GHZ and W can
be inter-converted. In general multipartite settings composed by distant
parties, all -partite pure entangled states are inter-convertible by SLOCC
with the assistance of bound entangled states with positive partial transpose.Comment: 6 pages, 2 figure. Results for multipartite settings were adde
Strong monotonicity in mixed-state entanglement manipulation
A strong entanglement monotone, which never increases under local operations
and classical communications (LOCC), restricts quantum entanglement
manipulation more strongly than the usual monotone since the usual one does not
increase on average under LOCC. We propose new strong monotones in mixed-state
entanglement manipulation under LOCC. These are related to the decomposability
and 1-positivity of an operator constructed from a quantum state, and reveal
geometrical characteristics of entangled states. These are lower bounded by the
negativity or generalized robustness of entanglement.Comment: 6 pages and 1 figure. A brief discussion about the connection to
asymptotic distillability was adde
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