Certifying quantum temporal correlation via randomized measurements: Theory and experiment

H Liu, Z Liu, S Chen, X Nie, X Liu, D Lu - Physical Review Letters, 2025 - APS
We consider the certification of temporal quantum correlations using the pseudo-density
operator (PDO), an extension of the density matrix to the time domain, where negative …

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 …

Virtual quantum broadcasting

AJ Parzygnat, J Fullwood, F Buscemi, G Chiribella - Physical Review Letters, 2024 - APS
The quantum no-broadcasting theorem states that it is impossible to produce perfect copies
of an arbitrary quantum state, even if the copies are allowed to be correlated. Here we show …

Inferring the arrow of time in quantum spatiotemporal correlations

X Liu, Q Chen, O Dahlsten - Physical Review A, 2024 - APS
We consider how to tell the time-ordering associated with measurement data from quantum
experiments at two times and any number of qubits. We define an arrow of time inference …

Unification of spatiotemporal quantum formalisms: map** 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 …

The Spatiotemporal Doubled‐Density Operator: A Unified Framework for Analyzing Spatial and Temporal Quantum Processes

Z Jia, D Kaszlikowski - Advanced Quantum Technologies, 2024 - Wiley Online Library
The measurement statistics for spatial and temporal quantum processes are produced
through distinct mechanisms. Measurements that are space‐like separated exhibit non …

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 …

On dynamical measures of quantum information

J Fullwood, AJ Parzygnat - arxiv preprint arxiv:2306.01831, 2023 - arxiv.org
In this work, we use the theory of quantum states over time to define an entropy $ S
(\rho,\mathcal {E}) $ associated with quantum processes $(\rho,\mathcal {E}) $, where $\rho …