Geometry of quantum correlations in space-time

Type: Article

Publication Date: 2018-11-12

Citations: 30

DOI: https://doi.org/10.1103/physreva.98.052312

Abstract

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.

Locations

  • Physical review. A/Physical review, A - View - PDF
  • arXiv (Cornell University) - View - PDF
  • DR-NTU (Nanyang Technological University) - View - PDF
  • Oxford University Research Archive (ORA) (University of Oxford) - View - PDF
  • DataCite API - View

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