Geometry of quantum correlations in space-time

Journal article

The traditional formalism of nonrelativistic quantum theory allows the state of a quantum system to extend across space, but only restricts it to a single instant in time, leading to distinction between theoretical treatments of spatial and temporal quantum correlations. Here we unify the geometrical description of two-point quantum correlations in space-time. Our study presents the geometry of correlations between two sequential Pauli measurements on a single qubit undergoing an arbitrary quantum channel evolution together with two-qubit spatial correlations under a common framework. We establish a symmetric structure between quantum correlations in space and time. This symmetry is broken in the presence of nonunital channels, which further reveals a set of temporal correlations that are indistinguishable from correlations found in bipartite entangled states.

Authors: Zhao, Z; Pisarczyk, R; Thompson, J; Gu, M; Vedral, V

• Publication status: Published
• Peer review status: Peer reviewed
• Publisher: American Physical Society
• Journal: Physical Review A
• Volume: 98
• Issue: 5
• Publication date: 2018-11-12
• DOI: 10.1103/physreva.98.052312
• EISSN: 2469-9934
• ISSN: 2469-9926
• Language: English
• Keywords: FFR