Certifying quantum temporal correlation via randomized measurements: Theory and experiment
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 …
operator (PDO), an extension of the density matrix to the time domain, where negative …
Causal classification of spatiotemporal quantum correlations
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 …
establish whether such correlations are atemporal? That is, can they rule out that they have …
Virtual quantum broadcasting
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 …
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
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 …
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
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 …
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
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 …
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 …
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
The measurement statistics for spatial and temporal quantum processes are produced
through distinct mechanisms. Measurements that are space‐like separated exhibit non …
through distinct mechanisms. Measurements that are space‐like separated exhibit non …
Time-symmetric correlations for open quantum systems
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 …
known to be time symmetric for closed quantum systems. Namely, if a system evolves …
On dynamical measures of quantum information
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 …
(\rho,\mathcal {E}) $ associated with quantum processes $(\rho,\mathcal {E}) $, where $\rho …