6 papers
Quantum encodings that preserve persistent homology
Arthur J. Parzygnat, Andrew Vlasic
Given a data set with a notion of distance, such as a point cloud in Euclidean space, topological data analysis (TDA) uses techniques from algebraic topology and metric geometry to…
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…
Sufficient conditions for localized vibrational modes in one- and two-dimensional discrete lattices
Jaden Thomas-Markarian, Rodrigo Arrieta, Shu-Ching Yang +2
This paper presents a rigorous proof that arbitrarily weak perturbations produce localized vibrational (phonon) modes in one- and two-dimensional discrete lattices, inspired by ana…
Operator representation of spatiotemporal quantum correlations
James Fullwood, Arthur J. Parzygnat
While quantum correlations between two spacelike-separated systems are fully encoded by the bipartite density operator associated with the joint system, there does not exist an ana…
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…