Author

Alexander Stottmeister

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Preprint Sep 2026

Sharp Quantum Entropy Mixing Rates and the Operator Layer Cake Theorem

At what rate does the von Neumann entropy of an ensemble of quantum states change under Hamiltonian evolution of its constituents? Bravyi proposed the small incremental mixing conjecture controlling the mixing rate of a binary ensemble $\{(1\!-\!p,\rho_1),(p,\rho_2)\}$ by $c\,\|{H}\|h_{2}(p)$ (with the binary entropy $...

Alexander Stottmeister · 0 citations

Preprint Aug 2026

Quantum steering is equivalent to state-preserving conditional expectations

In systems with infinitely many degrees of freedom, fundamental results from quantum information theory can fail. An important example is the uniqueness of purifications: Even when two subsystems, described by commuting von Neumann algebras $A$ and $B$, are tomographically complete, purifications of a state on $A$ need...

Lauritz van Luijk, Amine Marrakchi, T. Osborne et al. · 4 citations