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Hadamard Products of Product Operators and the Design of Gradient-Diffusion Experiments for Simulating Decoherence by NMR Spectroscopy
Timothy F. Havel, Yehuda Sharf, Lorenza Viola +1
An extension of the product operator formalism of NMR is introduced, which uses the Hadamard matrix product to describe many simple spin 1/2 relaxation processes. The utility of th…
Control of open quantum systems dynamics
Seth Lloyd, Lorenza Viola
We investigate the control resources needed to effect arbitrary quantum dynamics. We show that the ability to perform measurements on a quantum system, combined with the ability to…
NMR Based Quantum Information Processing: Achievements and Prospects
D. G. Cory, R. Laflamme, E. Knill +13
Nuclear magnetic resonance (NMR) provides an experimental setting to explore physical implementations of quantum information processing (QIP). Here we introduce the basic backgroun…
Dynamical Generation of Noiseless Quantum Subsystems
Lorenza Viola, Emanuel Knill, Seth Lloyd
We present control schemes for open quantum systems that combine decoupling and universal control methods with coding procedures. By exploiting a general algebraic approach, we sho…
Stochastic Resonance and Nonlinear Response by NMR Spectroscopy
L. Viola, E. M. Fortunato, S. Lloyd +2
We revisit the phenomenon of quantum stochastic resonance in the regime of validity of the Bloch equations. We find that a stochastic resonance behavior in the steady-state respons…