Probabilistically Perfect Cloning of Two Pure States: A Geometric Approach
Quantum Physics
2016-05-25 v1 Information Theory
math.IT
Abstract
We solve the long-standing problem of making n perfect clones from m copies of one of two known pure states with minimum failure probability in the general case where the known states have arbitrary a priori probabilities. The solution emerges from a geometric formulation of the problem. This formulation also reveals a deeper connection between cloning and state discrimination. The convergence of cloning to state discrimination as the number of clones goes to infinity exhibits a phenomenon analogous to a second order symmetry breaking phase transition.
Keywords
Cite
@article{arxiv.1505.06979,
title = {Probabilistically Perfect Cloning of Two Pure States: A Geometric Approach},
author = {Vadim Yerokhin and Andi Shehu and Edgar Feldman and Emilio Bagan and Janos A. Bergou},
journal= {arXiv preprint arXiv:1505.06979},
year = {2016}
}