Mathematical Sciences-Colloquium-"Optimality in Quantum Data Compression using Dynamical Entropy" by Duncan Wright (WPI)

Friday, September 13, 2019
11:00 am to 12:00 pm

Location:

Floor/Room #: 
203

Speaker: Duncan Wright, WPI

Title: Optimality in Quantum Data Compression using Dynamical Entropy

Abstract: The notion of lossless compression of strings of pure quantum states of indeterminate-length quantum codes was first introduced by Schumacher and Westmoreland in 2001. Past work has assumed that the strings of quantum data are prepared to be encoded in an independent and identically distributed way. We introduce the notion of quantum stochastic ensembles , allowing us to consider strings of quantum states prepared in a more general way. Moreover, for any quantum stochastic ensemble we define an associated quantum Markov chain and show that the optimal average codeword length per symbol is equal to the quantum dynamical entropy of the associated quantum Markov chain.