PhD Comprehensive Exam | Daniel Puzzuoli, Quantum state and channel discrimination, and conditions for channel reversibility

MC 6460

Candidate

Daniel Puzzuoli , Applied Mathematics, University of Waterloo

Title

Quantum state and channel discrimination, and conditions for channel reversibility

Abstract

The discrimination of quantum states and channels is fundamental in quantum information theory. For the abstract problem of quantum channel discrimination, I will discuss the role of the ancilla dimension in achieving optimal discrimination, relative to the input and output dimensions of the channels. In particular, I will present a family of channels containing arbitrary finite gap between the input and output dimensions, yet still requiring an ancilla as large as the input for optimal discrimination, and will discuss follow up questions.