154 citations · 411 across the 17 of their papers we have counts for
9 papers · 1 filter
The Dirac equation as a quantum walk: higher dimensions, observational convergence
Pablo Arrighi, Marcelo Forets, Vincent Nesme
The Dirac equation can be modelled as a quantum walk, with the quantum walk being: discrete in time and space (i.e. a unitary evolution of the wave-function of a particle on a latt…
Efficient and feasible state tomography of quantum many-body systems
M. Ohliger, V. Nesme, J. Eisert
We present a novel method to perform quantum state tomography for many-particle systems which are particularly suitable for estimating states in lattice systems such as of ultra-co…
Continuous-variable quantum compressed sensing
Matthias Ohliger, Vincent Nesme, David Gross +2
We significantly extend recently developed methods to faithfully reconstruct unknown quantum states that are approximately low-rank, using only a few measurement settings. Our new…
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…
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…
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…