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19962022
most citedSeparability of Mixed States: Necessary and Sufficient Conditions

3.6k citations · 17.6k across the 125 of their papers we have counts for

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Showing 2001 · quant-phShow all

7 papers · 2 filters

quant-ph2001★ 430 cited

Universal Quantum Estimator

Artur K. Ekert, Carolina Moura Alves, Daniel K. L. Oi +3

We present a simple device based on the controlled-SWAP gate that performs quantum state tomography. It can also be used to determine maximum and minimum eigenvalues, expectation v…

quant-ph2001★ 27 cited

Mixed-state entanglement and quantum communication

Michal Horodecki, Pawel Horodecki, Ryszard Horodecki

We present basics of mixed-state entanglement theory. The first part of the article is devoted to mathematical characterizations of entangled states. In second part we discuss the…

quant-ph2001★ 51 cited

Concurrence in arbitrary dimensions

Piotr Badziag, Piotr Deuar, Michal Horodecki +2

We argue that a complete characterisation of quantum correlations in bipartite systems of many dimensions may require a quantity which, even for pure states, does not reduce to a s…

quant-ph2001★ 2 cited

Classical capacity of a noiseless quantum channel assisted by noisy entanglement

Michal Horodecki, Pawel Horodecki, Ryszard Horodecki +2

We derive the general formula for the capacity of a noiseless quantum channel assisted by an arbitrary amount of noisy entanglement. In this capacity formula, the ratio of the quan…

quant-ph2001★ 142 cited

A uniqueness theorem for entanglement measures

Oliver Rudolph

We obtain a mathematically simple characterization of all functionals coinciding with the von Neumann reduced entropy on pure states based on the Khinchin-Faddeev axiomatization of…

quant-ph2001★ 112 cited

Dynamical description of quantum computing: generic nonlocality of quantum noise

Robert Alicki, Michal Horodecki, Pawel Horodecki +1

We develop dynamical non-Markovian description of quantum computing in weak coupling limit, in lowest order approximation. We show that long range memory of quantum reservoir produ…