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Spectral properties of quantum channels and applications

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If you have a question about this talk, please contact Subhayan Roy Moulik.

Quantum channels are the most general input-output transformations allowed by quantum mechanics. Physically they play a crucial role in Quantum Information Theory, where they represent the communication from a sender to a receiver. In this talk, I will discuss some generic properties of a quantum channel related to its spectral behaviour. This would include understanding the structure of a specific class of eigen-operators of a unital channel. As applications, I will show how these properties lead to partial solutions to two currently open problems in Quantum Information Theory, namely the PPT -squared conjecture and the optimal upper bound for the quantum Wielandt inequality for a primitive channel. No prior knowledge of quantum theory will be assumed.

This talk is part of the CQIF Seminar series.

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