154 citations · 411 across the 17 of their papers we have counts for
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quant-ph2009★ 6 cited
Bounds on the Speedup in Quantum signalling
Pablo Arrighi, Vincent Nesme, Reinhard Werner
Given a discrete reversible dynamics, we can define a quantum dynamics, which acts on basis states like the classical one, but also allows for superpositions of them. It is a curio…
quant-ph2009★ 154 cited
Index theory of one dimensional quantum walks and cellular automata
D. Gross, V. Nesme, H. Vogts +1
If a one-dimensional quantum lattice system is subject to one step of a reversible discrete-time dynamics, it is intuitive that as much "quantum information" as moves into any give…
quant-ph2009★ 1 cited
Quantization of Cellular Automata
Pablo Arrighi, Vincent Nesme
Take a cellular automaton, consider that each configuration is a basis vector in some vector space, and linearize the global evolution function. If lucky, the r esult could actuall…