Mixed-state entanglement and quantum error correction

CH Bennett, DP DiVincenzo, JA Smolin, WK Wootters - Physical Review A, 1996 - APS
Entanglement purification protocols (EPPs) and quantum error-correcting codes (QECCs)
provide two ways of protecting quantum states from interaction with the environment. In an …

Computable measure of entanglement

G Vidal, RF Werner - Physical Review A, 2002 - APS
We present a measure of entanglement that can be computed effectively for any mixed state
of an arbitrary bipartite system. We show that it does not increase under local manipulations …

Quantum secret sharing

M Hillery, V Bužek, A Berthiaume - Physical Review A, 1999 - APS
Secret sharing is a procedure for splitting a message into several parts so that no subset of
parts is sufficient to read the message, but the entire set is. We show how this procedure can …

Concentrating partial entanglement by local operations

CH Bennett, HJ Bernstein, S Popescu, B Schumacher - Physical Review A, 1996 - APS
If two separated observers are supplied with entanglement, in the form of n pairs of particles
in identical partly entangled pure states, one member of each pair being given to each …

General teleportation channel, singlet fraction, and quasidistillation

M Horodecki, P Horodecki, R Horodecki - Physical Review A, 1999 - APS
We prove a theorem on direct relation between the optimal fidelity f max of teleportation and
the maximal singlet fraction F max attainable by means of trace-preserving local quantum …

Quantum entanglement for secret sharing and secret splitting

A Karlsson, M Koashi, N Imoto - Physical Review A, 1999 - APS
We show how a quantum secret sharing protocol, similar to that of Hillery, Buzek, and
Berthiaume (Los Alamos e-print archive quant-ph/9806063), can be implemented using two …

Reduction criterion of separability and limits for a class of distillation protocols

M Horodecki, P Horodecki - Physical Review A, 1999 - APS
We analyze the problem of distillation of entanglement of mixed states in higher-dimensional
compound systems. Employing the positive maps method [M. Horodecki et al., Phys. Lett. A …

Quantum secure direct communication with high-dimension quantum superdense coding

C Wang, FG Deng, YS Li, XS Liu, GL Long - Physical Review A—Atomic …, 2005 - APS
A protocol for quantum secure direct communication with quantum superdense coding is
proposed. It combines the ideas of block transmission, the **-pong quantum secure direct …

Quantum repeaters based on entanglement purification

W Dür, HJ Briegel, JI Cirac, P Zoller - Physical Review A, 1999 - APS
We study the use of entanglement purification for quantum communication over long
distances. For distances much longer than the coherence length of a corresponding noisy …

Ultrabright source of polarization-entangled photons

PG Kwiat, E Waks, AG White, I Appelbaum… - Physical Review A, 1999 - APS
Using the process of spontaneous parametric down-conversion in a two-crystal geometry,
we have generated a source of polarization-entangled photon pairs that is more than ten …