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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…
math-ph2024
On the Problem of Defining Charge Operators for the Dirac Quantum Field
Pablo Costa Rico, Roderich Tumulka
It is well known how to define the operator for the total charge (i.e., positron number minus electron number) on the standard Hilbert space of the second-quantized Dirac equat…
math-ph2023
New Partial Trace Inequalities and Distillability of Werner States
Pablo Costa Rico
One of the oldest problems in quantum information theory is to study if there exists a state with negative partial transpose which is undistillable. This problem has been open for…