386 citations · 586 across the 11 of their papers we have counts for
4 papers · 1 filter
Pauli Diagonal Channels Constant on Axes
M. Nathanson, M. B. Ruskai
We define and study the properties of channels which are analogous to unital qubit channels in several ways. A full treatment can be given only when the dimension d is a prime powe…
Improved Gap Estimates for Simulating Quantum Circuits by Adiabatic Evolution
Percy Deift, Mary Beth Ruskai, Wolfgang Spitzer
We use elementary variational arguments to prove, and improve on, gap estimates which arise in simulating quantum circuits by adiabatic evolution.
Comment on "Stronger subadditivity of entropy" by Lieb and Seiringer math-ph/0412009
Mary Beth Ruskai
We show how recent results of Lieb and Seiringer [math-ph/0412009; Phys. Rev. A 71, 062329 (2005)] can be obtained from repeated use of the monotonicity of relative entropy under p…
Bounds for the adiabatic approximation with applications to quantum computation
Sabine Jansen, Mary-Beth Ruskai, Ruedi Seiler
We present straightforward proofs of estimates used in the adiabatic approximation. The gap dependence is analyzed explicitly. We apply the result to interpolating Hamiltonians of…