Memory Effects in Quantum Processes

Understand

Understanding temporal processes and their correlations in time is of paramount importance for the development of near-term technologies that operate under realistic conditions.

• Capturing the complete multi-time statistics defining a stochastic process lies at the heart of any proper treatment of memory effects.
• In this thesis, using a novel framework for the characterisation of quantum stochastic processes, we first solve the long standing question of unambiguously describing the memory length of a quantum processes.
• This is achieved by constructing a quantum Markov order condition that naturally generalises its classical counterpart for the quantification of finite-length memory effects.