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Quantum stochastic processes and quantum non-Markovian phenomena
Simon Milz, Kavan Modi
The field of classical stochastic processes forms a major branch of mathematics. They are, of course, also very well studied in biology, chemistry, ecology, geology, finance, physi…
How long does it take to implement a projective measurement?
Philipp Strasberg, Kavan Modi, Michalis Skotiniotis
According to the Schrödinger equation, a closed quantum system evolves continuously in time. If it is subject to a measurement however, its state changes randomly and discontinuous…
Genuine Multipartite Entanglement in Time
Simon Milz, Cornelia Spee, Zhen-Peng Xu +3
While spatial quantum correlations have been studied in great detail, much less is known about the genuine quantum correlations that can be exhibited by temporal processes. Employi…
Bounding generalized relative entropies: Nonasymptotic quantum speed limits
Diego Paiva Pires, Kavan Modi, Lucas Chibebe Céleri
Information theory has become an increasingly important research field to better understand quantum mechanics. Noteworthy, it covers both foundational and applied perspectives, als…
Quantum chicken-egg dilemmas: Delayed-choice causal order and the reality of causal non-separability
Simon Milz, Dominic Jurkschat, Felix A. Pollock +1
Recent frameworks describing quantum mechanics in the absence of a global causal order admit the existence of causally indefinite processes, where it is impossible to ascribe causa…
Tensor network based machine learning of non-Markovian quantum processes
Chu Guo, Kavan Modi, Dario Poletti
We show how to learn structures of generic, non-Markovian, quantum stochastic processes using a tensor network based machine learning algorithm. We do this by representing the proc…