A review of quantum cellular automata

T Farrelly - Quantum, 2020 - quantum-journal.org
Discretizing spacetime is often a natural step towards modelling physical systems. For
quantum systems, if we also demand a strict bound on the speed of information propagation …

An overview of quantum cellular automata

P Arrighi - Natural Computing, 2019 - Springer
Quantum cellular automata are arrays of identical finite-dimensional quantum systems,
evolving in discrete-time steps by iterating a unitary operator G. Moreover the global …

Quantum causal models

J Barrett, R Lorenz, O Oreshkov - arxiv preprint arxiv:1906.10726, 2019 - arxiv.org
It is known that the classical framework of causal models is not general enough to allow for
causal reasoning about quantum systems. While the framework has been generalized in a …

Investigation of the diagonal elements of the Wigner's reaction matrix for networks with violated time reversal invariance

M Ławniczak, L Sirko - Scientific Reports, 2019 - nature.com
The distributions of the diagonal elements of the Wigner's reaction K ˆ matrix for open
systems with violated time reversal T invariance in the case of large absorption are for the …

Causal and compositional structure of unitary transformations

R Lorenz, J Barrett - Quantum, 2021 - quantum-journal.org
The causal structure of a unitary transformation is the set of relations of possible influence
between any input subsystem and any output subsystem. We study whether such causal …

Addressable quantum gates

P Arrighi, C Cedzich, M Costes, U Rémond… - ACM Transactions on …, 2023 - dl.acm.org
We extend the circuit model of quantum computation so that the wiring between gates is soft-
coded within registers inside the gates. The addresses in these registers can be …

Functorial evolution of quantum fields

S Gogioso, ME Stasinou, B Coecke - Frontiers in Physics, 2021 - frontiersin.org
We present a compositional algebraic framework to describe the evolution of quantum fields
in discretised spacetimes. We show how familiar notions from Relativity and quantum …

Semantics of quantum programming languages: Classical control, quantum control

B Valiron - Journal of Logical and Algebraic Methods in …, 2022 - Elsevier
This chapter is devoted to a discussion on the semantics of quantum programming
languages. We will discuss two main paradigms: the usual, standard co-processor model …

On Quantum Programming Languages

B Valiron - arxiv preprint arxiv:2410.13337, 2024 - arxiv.org
This thesis (Habilitation\a diriger des recherches) presents some of my research
contributions since my Ph. D defense in 2008. I have had the chance to participate in the …

Experimental investigation of distributions of the off-diagonal elements of the scattering matrix and Wigner's matrix for networks with broken time reversal invariance

M Ławniczak, B van Tiggelen, L Sirko - Physical Review E, 2020 - APS
We present an extensive experimental study of the distributions of the real and imaginary
parts of the off-diagonal elements of the scattering matrix S ̂ and the Wigner's reaction K ̂ …