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4 papers · 1 filter
Quantum channels that preserve entanglement
William Arveson
Let M and N be full matrix algebras. A unital completely positive (UCP) map ϕ:M\to N is said to preserve entanglement if its inflation ϕ\otimes \id_N : M\otimes N\to N\otimes N has…
Classically normal pure states
Charles Akemann, Nik Weaver
A pure state f of a von Neumann algebra M is called classically normal if f is normal on any von Neumann subalgebra of M on which f is multiplicative. Assuming the continuum hypoth…
Free diffusions and Matrix models with strictly convex interaction
A. Guionnet, D. Shlyakhtenko
We study solutions to the free stochastic differential equation $dX_t = dS_t - \half DV(X_t)dt$, where is a locally convex polynomial potential in non-commuting variables.…
State spaces of JB*-triples
Matthew Neal, Bernard Russo
An atomic decomposition is proved for Banach spaces which satisfy some affine geometric axioms compatible with notions from the quantum mechanical measuring process. This is then a…