Quantum non-Markovianity: Overview and recent developments

U Shrikant, P Mandayam - Frontiers in Quantum Science and …, 2023 - frontiersin.org
In the current era of noisy intermediate-scale quantum (NISQ) devices, research on the
theory of open system dynamics has a crucial role to play. In particular, understanding and …

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 …

Quantifying quantumness of channels without entanglement

HY Ku, J Kadlec, A Černoch, MT Quintino, W Zhou… - PRX Quantum, 2022 - APS
Quantum channels breaking entanglement, incompatibility, or nonlocality are defined as
such because they are not useful for entanglement-based, one-sided device-independent …

Quantum Liang information flow as causation quantifier

B Yi, S Bose - Physical Review Letters, 2022 - APS
Liang information flow is widely used in classical systems and network theory for causality
quantification and has been applied widely, for example, to finance, neuroscience, and …

Quantifying information scrambling via classical shadow tomography on programmable quantum simulators

M McGinley, S Leontica, SJ Garratt, J Jovanovic… - Physical Review A, 2022 - APS
We develop techniques to probe the dynamics of quantum information and implement them
experimentally on an IBM superconducting quantum processor. Our protocols adapt shadow …

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 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 …

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 …

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 …