The conventional framework of quantum theory treats space and time in vastly different ways
by representing temporal correlations via quantum channels and spatial correlations via …

We introduce the task of shadow process simulation, where the goal is to simulate the
estimation of the expectation values of arbitrary quantum observables at the output of a …

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 …

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 …

Quantum broadcasting is central to quantum information processing and characterizes the
correlations within quantum states. Nonetheless, traditional quantum broadcasting …

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 …

While quantum correlations between two spacelike-separated systems are fully encoded by
the bipartite density operator associated with the joint system, we prove that there does not …

The quantum state over time formalism provides an extension of the density operator
formalism into the time domain, so that quantum correlations across both space and time …

Quantum Markov chains generalize classical Markov chains for random variables to the
quantum realm and exhibit unique inherent properties, making them an important feature in …