Subscribe by RSS
Operator Algebra Seminar
Fri., Sep. 22, 2023 2:00 p.m.
Location: Math/Stat Boardroom CW307.14.3
Speaker: Shane Crerar, University of Regina
Title: Probability of Entanglement: the noncommutative sphere V r(H,K)
Abstract:
The set of isometries from a fixed faithful state of B(H) to a state of B(K ⊗ H) with 2 ≤ dim H ≤ dim K can be associated with a real-analytic manifold labelled V r(H,K). The construction of the manifold and its properties will be discussed. Z, the zeroes of real analytic functions from V r(H,K) to a dimension d real vector space are sets of Lebesgue measure zero when Z is a strict subset of V r(H,K).