387 citations · 2.2k across the 41 of their papers we have counts for
3 papers · 1 filter
Divide and conquer method for proving gaps of frustration free Hamiltonians
Michael J. Kastoryano, Angelo Lucia
Providing system-size independent lower bounds on the spectral gap of local Hamiltonian is in general a hard problem. For the case of finite-range, frustration free Hamiltonians on…
Non-commutative Nash inequalities
Michael J. Kastoryano, Kristan Temme
A set of functional inequalities - called Nash inequalities - are introduced and analyzed in the context of quantum Markov process mixing. The basic theory of Nash inequalities is…
Hilbert's projective metric in quantum information theory
David Reeb, Michael J. Kastoryano, Michael M. Wolf
We introduce and apply Hilbert's projective metric in the context of quantum information theory. The metric is induced by convex cones such as the sets of positive, separable or PP…