TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhys.16.1.014
TI  - Information flow in non-unitary quantum cellular automata
PY  - 2024/01/17
UR  - https://scipost.org/SciPostPhys.16.1.014
JF  - SciPost Physics
JA  - SciPost Phys.
VL  - 16
IS  - 1
SP  - 014
A1  - Wagner, Elisabeth
AU  - Nigmatullin, Ramil
AU  - Gilchrist, Alexei
AU  - Brennen, Gavin
AB  - The information flow in a quantum system is a fundamental feature of its dynamics. An important class of dynamics are quantum cellular automata (QCA), systems with discrete updates invariant in time and space, for which an index theory has been proposed for the quantification of the net flow of quantum information across a boundary. While the index is rigid in the sense of begin invariant under finite-depth local circuits, it is not defined when the system is coupled to an environment, i.e.for non-unitary time evolution of open quantum systems. We propose a new measure of information flow for non-unitary QCA denoted the information current which is not rigid, but can be computed locally based on the matrix-product operator representation of the map.
ER  -

@Article{10.21468/SciPostPhys.16.1.014,
	title={{Information flow in non-unitary quantum cellular automata}},
	author={Elisabeth Wagner and Ramil Nigmatullin and Alexei Gilchrist and Gavin K. Brennen},
	journal={SciPost Phys.},
	volume={16},
	pages={014},
	year={2024},
	publisher={SciPost},
	doi={10.21468/SciPostPhys.16.1.014},
	url={https://scipost.org/10.21468/SciPostPhys.16.1.014},
}