36 citations · 59 across the 3 of their papers we have counts for
4 papers · 1 filter
Two-sided estimates of minimum-error distinguishability of mixed quantum states via generalized Holevo-Curlander bounds
Jon Tyson
We prove a concise factor-of-2 estimate for the failure rate of optimally distinguishing an arbitrary ensemble of mixed quantum states, generalizing work of Holevo [Theor. Probab.…
Error rates of Belavkin weighted quantum measurements and a converse to Holevo's asymptotic optimality theorem
Jon Tyson
We compare several instances of pure-state Belavkin weighted square-root measurements from the standpoint of minimum-error discrimination of quantum states. The quadratically weigh…
Estimates of non-optimality of quantum measurements and a simple iterative method for computing optimal measurements
Jon Tyson
We construct crude estimates for non-optimality of quantum measurements in terms of their violation of Holevo's simplified minimum-error optimality conditions. As an application, w…
Operator-Schmidt decompositions and the Fourier transform, with applications to the operator-Schmidt numbers of unitaries
Jon E Tyson
The operator-Schmidt decomposition is useful in quantum information theory for quantifying the nonlocality of bipartite unitary operations. We construct a family of unitary operato…