TY - UNPB
T1 - Information flow in one-dimensional non-unitary quantum cellular automata
AU - Wagner, Elisabeth
AU - Nigmatullin, Ramil
AU - Gilchrist, Alexei
AU - Brennen, Gavin
PY - 2022/4/21
Y1 - 2022/4/21
N2 - 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.
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.
U2 - 10.48550/arXiv.2204.09922
DO - 10.48550/arXiv.2204.09922
M3 - Preprint
T3 - arXiv
BT - Information flow in one-dimensional non-unitary quantum cellular automata
PB - arXiv.org
ER -