76 citations · 76 across the 1 of their papers we have counts for
8 papers
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…
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…
When is a non-Markovian quantum process classical?
Simon Milz, Dario Egloff, Philip Taranto +4
More than a century after the inception of quantum theory, the question of which traits and phenomena are fundamentally quantum remains under debate. Here we give an answer to this…
Completely Positive Divisibility Does Not Mean Markovianity
Simon Milz, M. S. Kim, Felix A. Pollock +1
In the classical domain, it is well-known that divisibility does not imply that a stochastic process is Markovian. However, for quantum processes, divisibility is often considered…
The Structure of Quantum Stochastic Processes with Finite Markov Order
Philip Taranto, Simon Milz, Felix A. Pollock +1
Non-Markovian quantum processes exhibit different memory effects when measured in different ways; an unambiguous characterization of memory length requires accounting for the seque…
Quantum Markov Order
Philip Taranto, Felix A. Pollock, Simon Milz +2
We formally extend the notion of Markov order to open quantum processes by accounting for the instruments used to probe the system of interest at different times. Our description r…