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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…
Thermodynamic uncertainty relation for quantum entropy production
Domingos S. P. Salazar
In quantum thermodynamics, entropy production is usually defined in terms of the quantum relative entropy between two states. We derive a lower bound for the quantum entropy produc…
Symmetric Petz-Rényi relative entropy uncertainty relation
Domingos S. P. Salazar
Holevo introduced a fidelity between quantum states that is symmetric and as effective as the trace norm in evaluating their similarity. This fidelity is bounded by a function of t…
Limiting flux in quantum thermodynamics
Domingos S. P. Salazar
In quantum systems, entropy production is typically defined as the quantum relative entropy between two states. This definition provides an upper bound for any flux (of particles,…
Quantum relative entropy uncertainty relation
Domingos S. P. Salazar
For classic systems, the thermodynamic uncertainty relation (TUR) states that the fluctuations of a current have a lower bound in terms of the entropy production. Some TURs are roo…