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Covariant influences for finite discrete dynamical systems
Carlo Maria Scandolo, Gilad Gour, Barry C. Sanders
We develop a rigorous theory of external influences on finite discrete dynamical systems, going beyond the perturbation paradigm, in that the external influence need not be a small…
Stability of the Trotter-Suzuki decomposition
Ish Dhand, Barry C. Sanders
The Trotter-Suzuki decomposition is an important tool for the simulation and control of physical systems. We provide evidence for the stability of the Trotter-Suzuki decomposition.…
Ordered Measurements of Permutationally-Symmetric Qubit Strings
Alexander Hentschel, Barry C. Sanders
We show that any sequence of measurements on a permutationally-symmetric (pure or mixed) multi-qubit string leaves the unmeasured qubit substring also permutationally-symmetric. In…
Higher Order Decompositions of Ordered Operator Exponentials
Nathan Wiebe, Dominic W. Berry, Peter Hoyer +1
We present a decomposition scheme based on Lie-Trotter-Suzuki product formulae to represent an ordered operator exponential as a product of ordinary operator exponentials. We provi…
Representations of the Weyl group and Wigner functions for SU(3)
D. J. Rowe, B. C. Sanders, H. de Guise
Bases for SU(3) irreps are constructed on a space of three-particle tensor products of two-dimensional harmonic oscillator wave functions. The Weyl group is represented as the symm…