3.6k citations · 17.6k across the 125 of their papers we have counts for
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Zero knowledge convincing protocol on quantum bit is impossible
Pawel Horodecki, Michal Horodecki, Ryszard Horodecki
Consider two parties: Alice and Bob and suppose that Bob is given a qubit system in a quantum state , unknown to him. Alice knows and she is supposed to convince Bob that sh…
The asymptotic entanglement cost of preparing a quantum state
Patrick M. Hayden, Michal Horodecki, Barbara M. Terhal
We give a detailed proof of the conjecture that the asymptotic entanglement cost of preparing a bipartite state ρis equal to the regularized entanglement of formation of ρ.
Dynamics of quantum entanglement
Karol Zyczkowski, Pawel Horodecki, Michal Horodecki +1
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 bistochasti…
Separability of n-particle mixed states: necessary and sufficient conditions in terms of linear maps
Michal Horodecki, Pawel Horodecki, Ryszard Horodecki
We provide necessary and sufficient conditions for separability of mixed states of n-particle systems. The conditions are formulated in terms of maps which are positive on product…
On balance of information in bipartite quantum communication systems: entanglement-energy analogy
Ryszard Horodecki, Michal Horodecki, Pawel Horodecki
We adopt the view according to which information is the primary physical entity that posseses objective meaning. Basing on two postulates that (i) entanglement is a form of quantum…