608 citations · 2.5k across the 47 of their papers we have counts for
6 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.
Another Short and Elementary Proof of Strong Subadditivity of Quantum Entropy
Mary Beth Ruskai
A short and elementary proof of the joint convexity of relative entropy is presented, using nothing beyond linear algebra. The key ingredients are an easily verified integral repre…
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…
Contractivity of positive and trace preserving maps under norms
David Perez-Garcia, Michael M. Wolf, Denes Petz +1
We provide a complete picture of contractivity of trace preserving positive maps with respect to -norms. We show that for contractivity holds in general if and only if the…