2 citations · 2 across the 3 of their papers we have counts for
6 papers · 1 filter
Bipartite quantum states admitting a causal explanation
Minjeong Song, Arthur J. Parzygnat
The statistics of local measurements of joint quantum systems can sometimes be used to distinguish the spatiotemporal structure in which they were measured. We first prove that eve…
Towards structure-preserving quantum encodings
Arthur J. Parzygnat, Tai-Danae Bradley, Andrew Vlasic +1
Harnessing the potential computational advantage of quantum computers for machine learning tasks relies on the uploading of classical data onto quantum computers through what are c…
Quantum Mutual Information in Time
James Fullwood, Zhen Wu, Arthur J. Parzygnat +1
While the quantum mutual information is a fundamental measure of quantum information, it is only defined for spacelike-separated quantum systems. Such a limitation is not present i…
Towards a functorial description of quantum relative entropy
Arthur J. Parzygnat
A Bayesian functorial characterization of the classical relative entropy (KL divergence) of finite probabilities was recently obtained by Baez and Fritz. This was then generalized…
Conditional Distributions for Quantum Systems
Arthur J. Parzygnat
Conditional distributions, as defined by the Markov category framework, are studied in the setting of matrix algebras (quantum systems). Their construction as linear unital maps ar…
Inverses, disintegrations, and Bayesian inversion in quantum Markov categories
Arthur J. Parzygnat
We introduce quantum Markov categories as a structure that refines and extends a synthetic approach to probability theory and information theory so that it includes quantum probabi…