3 citations · 8 across the 11 of their papers we have counts for
8 papers · 1 filter
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…