5 papers
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…
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…
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…