Local distinguishability of quantum states in infinite-dimensional systems
Yoshiko Ogata · Journal of Physics A Mathematical and General · 2006
We investigate local distinguishability of quantum states by use of convex analysis of joint numerical range of operators on a Hilbert space. We show that any two orthogonal pure states are distinguishable by local operations and classical communications, even for infinite-dimensional systems. An estimate of the local discrimination probability is also given for some families of more than two pure states.