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The complete characterisation of non-Markovian dynamics on quantum devices can be achieved with experiments on the system using a procedure known as process tensor tomography. However, through either hardware or computational restrictions, tomographically complete estimation is usually out of reach. Here, we present methods for bounding any desired facet of multi-time processes only with limited data to arbitrary accuracy that depends on data availability. We then use this method to estimate the strength of non-Markovian memory and construct conditional Markov order models, which are far less complex yet possess high predictive power. Finally, we display the efficacy and utility of our theoretical methods with experimental case studies on IBM Quantum devices.
We study the dynamics of a quantum system whose interaction with an environment is described by a collision model, i.e. the open dynamics is modelled through sequences of unitary interactions between the system and the individual constituents of the
We investigate the dynamics of quantum correlations (QC) under the effects of reservoir memory, as a resource for quantum information and computation tasks. Quantum correlations of two-qubit systems are used for implementing quantum teleportation suc
We investigate the roles of different environmental models on quantum correlation dynamics of two-qubit composite system interacting with two independent environments. The most common environmental models (the single-Lorentzian model, the squared-Lor
We review the most recent developments in the theory of open quantum systems focusing on situations in which the reservoir memory effects, due to long-lasting and non-negligible correlations between system and environment, play a crucial role. These
The rapidly developing quantum technologies have put forward a requirement to precisely control and measure temperature of microscopic matters at quantum level. Many quantum thermometry schemes have been proposed. However, precisely measuring low tem