16 papers
Divergence Geometry of Quantum Multi-Mpemba Effects
Domingos S. P. Salazar
Two quantum states may relax toward the same steady state, yet the one that starts farther away can overtake the closer one. This is the quantum Mpemba effect. The same pair can re…
Benign Projective Landscapes for Measured Quantum Divergences
Domingos S. P. Salazar
We study nonconvex optimization of measured quantum -divergences over rank-one projective measurements. For smoothly operator-Fenchel liftable generators and faithful states, ev…
A minimal qutrit counterexample to Conjecture 4.9 of Lesniewski and Ruskai
Domingos S. P. Salazar
Lesniewski and Ruskai conjectured that the contraction coefficient of every monotone Riemannian metric under a unital stochastic map equals the Hilbert--Schmidt contraction on the…
Bounds for Apparent Second-Law Violations in Quantum Trajectories
Domingos S. P. Salazar
Negative stochastic entropy production is commonly called an apparent violation of the second law. In general quantum-trajectory dynamics, however, the physical entropy production…
Determinacy Witnesses in the Completely Monotone--Stieltjes--Bernstein Hierarchy
Domingos S. P. Salazar
Membership problems in the completely monotone--Stieltjes--Bernstein hierarchy often become explicit after passage to a determinate representation. We organize that passage as a wi…
Riccati Reductions for Modified Bessel Ratios: Bernstein Positivity, Exact Certificates, and Transfer Obstructions
Domingos S. P. Salazar
Several open inequalities for ratios and logarithmic derivatives of the modified Bessel functions of the first kind and of the second kind reduce to sign questions for…