Nonlinear quantum state transformation of spin-1/2
arXiv:quant-ph/9708040 · doi:10.1016/S0375-9601(98)00189-3
Abstract
A non-linear quantum state transformation is presented. The transformation, which operates on pairs of spin-1/2, can be used to distinguish optimally between two non-orthogonal states. Similar transformations applied locally on each component of an entangled pair of spin-1/2 can be used to transform a mixed nonlocal state into a quasi-pure maximally entangled singlet state. In both cases the transformation makes use of the basic building block of the quantum computer, namely the quantum-XOR gate.
12 pages, LaTeX, amssym, epsfig (2 figures included)