3 papers
math-ph2025
Instantaneous Sobolev Regularization for Dissipative Bosonic Dynamics
Pablo Costa Rico, Paul Gondolf, Tim Möbus
We investigate quantum Markov semigroups on bosonic Fock space and identify a broad class of infinite-dimensional dissipative evolutions that exhibit instantaneous Sobolev-regulari…
quant-ph2025
Partial trace relations beyond normal matrices
Pablo Costa Rico, Michael M. Wolf
We investigate the relationship between partial traces and their dilations for general complex matrices, focusing on two main aspects: the existence of (joint) dilations and norm i…
quant-ph2025
Belavkin-Staszewski Quantum Markov Chains
Andreas Bluhm, Ángela Capel, Pablo Costa Rico +1
It is well-known that the conditional mutual information of a quantum state is zero if, and only if, the quantum state is a quantum Markov chain. Replacing the Umegaki relative ent…