Quantum state estimation for continuously monitored dynamical systems involves assigning
a quantum state to an individual system at some time, conditioned on the results of …

Irreversibility is usually captured by a comparison between the process that happens and a
corresponding “reverse process.” In the last decades, this comparison has been extensively …

Continuously monitored atomic spin-ensembles allow, in principle, for real-time sensing of
external magnetic fields beyond classical limits. Within the linear-Gaussian regime, thanks to …

Sufficiently fast continuous measurements of the position of an oscillator approach
measurements projective on position eigenstates. We evidence the transition into the …

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 …

Prediction is the making of statements, usually probabilistic, about future events based on
current information. Retrodiction is the making of statements about past events based on …

A projective measurement on a quantum system prepares an eigenstate of the observable
measured. Measurements of collective observables can thus be employed to herald the …

Regular measurements allow predicting the future and retrodicting the past of quantum
systems. Time-nonlocal measurements can leave the future and the past uncertain, yet …

According to Heisenberg's uncertainty relation, there is an ultimate limit to how precisely we
may predict the outcome of position and momentum measurements on a quantum system …

We study the robustness of quantum nondemolition (QND) measurement induced
entanglement between Bose–Einstein condensates (BECs). We consider an experimental …