Quantum state discrimination

There are fundamental limits to the accuracy with which one can determine t he state of a quantum system. I give an overview of the main approaches to quantum state discrimination. Several strategies exist. In quantum hypothes is testing, a quantum system is prepared in a member of a known, finite set of states, and the aim is to guess which one with the minimum probability of error. Error free discrimination is also sometimes possible, if we allow for the possibility of obtaining inconclusive results. If no prior informa tion about the state is provided, then it is impractical to try to determin e it exactly, and it must be estimated instead. In addition to reviewing th ese various strategies, I describe connections between state discrimination , the manipulation of quantum entanglement and quantum cloning. Recent expe rimental work is also discussed.