Quantum hypothesis testing and state discrimination

Understand

This expository article gives an overview of the theory of hypothesis testing of quantum states in finite dimensional Hilbert spaces.

• Optimal measurement strategy for testing binary quantum hypotheses, which result in minimum error probability, is discussed.
• Collective and individual adaptive measurement strategies in testing hypotheses in the multiple copy scenario, with various upper and lower bounds on error probability, are outlined.
• A brief account on quantum channel discrimination and the role of entangled states in achieving enhanced precision in the task of channel discrimination is given.