982 research outputs found
A Deterministic Polynomial--Time Algorithm for Constructing a Multicast Coding Scheme for Linear Deterministic Relay Networks
We propose a new way to construct a multicast coding scheme for linear
deterministic relay networks. Our construction can be regarded as a
generalization of the well-known multicast network coding scheme of Jaggi et
al. to linear deterministic relay networks and is based on the notion of flow
for a unicast session that was introduced by the authors in earlier work. We
present randomized and deterministic polynomial--time versions of our algorithm
and show that for a network with destinations, our deterministic algorithm
can achieve the capacity in uses of the
network.Comment: 12 pages, 2 figures, submitted to CISS 201
Coarse Graining Makes It Hard to See Micro-Macro Entanglement
Observing quantum effects such as superpositions and entanglement in
macroscopic systems requires not only a system that is well protected against
environmental decoherence, but also sufficient measurement precision. Motivated
by recent experiments, we study the effects of coarse-graining in photon number
measurements on the observability of micro-macro entanglement that is created
by greatly amplifying one photon from an entangled pair. We compare the results
obtained for a unitary quantum cloner, which generates micro-macro
entanglement, and for a measure-and-prepare cloner, which produces a separable
micro-macro state. We show that the distance between the probability
distributions of results for the two cloners approaches zero for a fixed
moderate amount of coarse-graining. Proving the presence of micro-macro
entanglement therefore becomes progressively harder as the system size
increases.Comment: 5 pages, 3 figure
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