Causal classification of spatiotemporal quantum correlations

M Song, V Narasimhachar, B Regula, TJ Elliott, M Gu - Physical Review Letters, 2024 - APS
From correlations in measurement outcomes alone, can two otherwise isolated parties
establish whether such correlations are atemporal? That is, can they rule out that they have …

Unification of spatiotemporal quantum formalisms: mapping between process and pseudo-density matrices via multiple-time states

X Liu, Z Jia, Y Qiu, F Li, O Dahlsten - New Journal of Physics, 2024 - iopscience.iop.org
We consider the relation between three different approaches to defining quantum states
across several times and locations: the pseudo-density matrix (PDM), the process matrix …

Quantum space-time marginal problem: global causal structure from local causal information

Z Jia, M Song, D Kaszlikowski - New Journal of Physics, 2023 - iopscience.iop.org
Spatial and temporal quantum correlations can be unified in the framework of the pseudo-
density operators (PDOs), and quantum causality between the involved events in an …

Quantum dynamics as a pseudo-density matrix

J Fullwood - arXiv preprint arXiv:2304.03954, 2023 - arxiv.org
While in relativity theory space evolves over time into a single entity known as spacetime,
quantum theory lacks a standard notion of how to encapsulate the dynamical evolution of a …

Time-symmetric correlations for open quantum systems

AJ Parzygnat, J Fullwood - arXiv preprint arXiv:2407.11123, 2024 - arxiv.org
Two-time expectation values of sequential measurements of dichotomic observables are
known to be time symmetric for closed quantum systems. Namely, if a system evolves …

Quantum causal inference with extremely light touch

X Liu, Y Qiu, O Dahlsten, V Vedral - arXiv preprint arXiv:2303.10544, 2023 - arxiv.org
We consider the quantum version of inferring the causal relation between events. There has
been recent progress towards identifying minimal interventions and observations needed …

Certifying Quantum Temporal Correlation via Randomized Measurements: Theory and Experiment

H Liu, Z Liu, S Chen, X Nie, X Liu, D Lu - arXiv preprint arXiv:2409.02470, 2024 - arxiv.org
We consider the certification of temporal quantum correlations using the pseudo-density
matrix (PDM), an extension of the density matrix to the time domain, where negative …

General covariance for quantum states over time

J Fullwood - Letters in Mathematical Physics, 2024 - Springer
Quantum states over time are a spatiotemporal generalization of density operators which
were first introduced to give a more even-handed treatment of space and time in quantum …

Quantum Mutual Information in Time

J Fullwood, Z Wu, AJ Parzygnat, V Vedral - arXiv preprint arXiv …, 2024 - arxiv.org
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 in …

Certifying temporal correlations

H Shrotriya, LC Kwek, K Bharti - AVS Quantum Science, 2024 - pubs.aip.org
Self-testing has been established as a major approach for quantum device certification
based on experimental statistics with minimal assumptions. However, despite more than 20 …