3 citations · 8 across the 11 of their papers we have counts for
12 papers
Divisibility of Non-Invertible Quantum Dynamics in the Heisenberg Picture
Federico Settimo, Dariusz Chruściński
We study divisibility of finite-dimensional quantum dynamics in the Heisenberg picture when the dynamical maps need not be invertible. Heisenberg divisible dynamics determines uniq…
Schrödinger and Heisenberg non-Markovianity in quantum information tasks
Federico Settimo, Kimmo Luoma, Jyrki Piilo +3
Quantum non-Markovianity has been widely studied and connected to the existence of memory effects in the dynamics of open systems. Surprisingly, working in the Schrödinger or in th…
Revivals of Bell nonlocality require Schrödinger and Heisenberg non-Markovianity
Federico Settimo, Kimmo Luoma, Jyrki Piilo +3
Bell nonlocality is a key resource in quantum information, demonstrating the nonclassicality of quantum theory. Noise, however, is in general detrimental to nonlocality, and can ca…
Phenomenological quantum mechanics: II. Deducing the formalism from experimental observations
Piotr Szańkowski, Davide Lonigro, Fattah Sakuldee +2
We propose an exercise in which one attempts to deduce the formalism of quantum mechanics solely from phenomenological observations. The only assumed inputs are the multi-time prob…
Universal Bound on the Eigenvalues of 2-Positive Trace-Preserving Maps
Frederik vom Ende, Dariusz Chruściński, Gen Kimura +1
We prove an upper bound on the trace of any 2-positive, trace-preserving map in terms of its smallest eigenvalue. We show that this spectral bound is tight, and that 2-positivity i…
Divisibility of dynamical maps: Schrödinger vs. Heisenberg picture
Federico Settimo, Andrea Smirne, Kimmo Luoma +3
Divisibility of dynamical maps is a central notion in the study of quantum non-Markovianity, providing a natural framework to characterize memory effects via time-local master equa…
A universal constraint for relaxation rates for quantum Markov generators: complete positivity and beyond
Dariusz Chruściński, Frederik vom Ende, Gen Kimura +1
Relaxation rates are key characteristics of quantum processes, as they determine how quickly a quantum system thermalizes, equilibrates, decoheres, and dissipates. While they play…
Spectral delineation of Markov Generators: Classical vs Quantum
Dariusz Chruściński, Sergey Denisov, Wojciech Tarnowski +1
The celebrated theorem of Perron and Frobenius implies that spectra of classical Markov operators, represented by stochastic matrices, are restricted to the unit disk. This propert…
Beyond Robertson-Schrödinger: A General Uncertainty Relation Unveiling Hidden Noncommutative Trade-offs
Gen Kimura, Aina Mayumi, Hiromichi Ohno +2
We report a universal improvement to the standard Robertson--Schrödinger uncertainty relation. Our result shows that the Robertson--Schrödinger lower bound can be supplemented by a…
A mirrored pair of optimal non-decomposable entanglement witnesses for two qudits does exist
Dariusz Chruściński, Anindita Bera, Joonwoo Bae +1
Two approaches can be utilized to handle the separability problem, finding out whether a given bipartite qudit state is separable or not: a direct procedure on the state space or t…
Dynamics of Open Quantum Systems with Initial System-Environment Correlations via Stochastic Unravelings
Federico Settimo, Kimmo Luoma, Dariusz Chruściński +3
In standard treatments of open quantum systems, the reduced dynamics is described starting from the assumption that the system and the environment are initially uncorrelated. This…
A class of entanglement witnesses and a realignment-like criterion
Vahid Jannesary, Vahid Karimipour, Dariusz Chruściński
We present a multi-parameter family of positive maps between spaces of differing dimensions. This framework facilitates the construction of Entanglement Witnesses (EWs) specificall…