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…
Bernstein Functions at Work: Coalescents, Copulas, and Subordination
Domingos S. P. Salazar
Several positivity questions in stochastic processes, dependence modeling, fractional analysis, and renewal theory reduce to a common recognition task: after normalization, identif…
Strict Total Positivity from Spectral Darboux and Toeplitz Smoothing Mechanisms
Domingos S. P. Salazar
We prove two strict total-positivity results by isolating two strictification mechanisms. The first is a spectral Darboux mechanism: an induction converts positivity and ordered en…
Order-Moment Transport and Hankel Determinants in Special-Function Inequalities
Domingos S. P. Salazar
Scalar inequalities in an order parameter often arise as the shadow of a stronger Hankel determinant statement. We record a moment-representation criterion: positive exp…
Bounded Treewidth and Complete Monotonicity for Scott-Sokal Spanning-Tree Polynomials
Domingos S. P. Salazar
Scott and Sokal asked for a structural description of the finite graphs \(G\) for which inverse powers \(T_G^{-β}\) of the spanning-tree polynomial are completely monotone. We prov…
A Bessel-zero obstruction to hyperbolic complete monotonicity of noncentral chi-square densities
Domingos S. P. Salazar
Baricz, Prabhu K, Singh and Vijesh asked for the optimal hyperbolically completely monotone (HCM) range of the noncentral chi-square density. The problem was motivated by the gap b…
Stable size-biasing and the positive scale-mixture order of generalized Gaussian laws
Domingos S. P. Salazar
Let be the centered unit-scale generalized Gaussian random variable with density proportional to . We prove that, for , there exists a str…
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…