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7 papers · 2 filters
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…
A characterization of global entanglement
Peter J. Love, Alec Maassen van den Brink, A. Yu. Smirnov +5
We define a set of entanglement monotones for qubits and give a single measure of entanglement in terms of these. This measure is zero except on globally entangled…
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…
Frequency Spectra and Probability Distributions for Quantum Fluctuations
L. H. Ford
This paper discusses two distinct, but related issues in quantum fluctuation effects. The first is the frequency spectrum which can be assigned to one loop quantum processes. The f…