2013/01/01 by Stephen Brierley, Adrian Kosowski, Marcin Markiewicz +4
Computer Science · Environmental Science · Physics and Astronomy · Social Sciences · #American Environmental and Regional History #Archaeology #Archaeology and Natural History #Boundary (topology) #Canadian Identity and History #Geography #Geology #Physics #Political science #Property (philosophy) #Public administration #Quantum #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum mechanics #Qubit #Sequence (biology) #Shire #Statistical physics #quant-ph
paper · pdf · doi:10.1103/physrevlett.115.120404
published in Physical Review Letters 29(104), 2-3 (American Physical Society) · 6 pages, 1 figure
openalex publication_date 2013/01/01 · arxiv created 2015/05/26 · arxiv updated 2016/10/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/06/24
The results of spacelike separated measurements are independent of distant measurement settings, a property one might call two-way no-signaling. In contrast, timelike separated measurements are only one-way no-signaling since the past is independent of the future but not vice versa. For this reason some temporal correlations that are formally identical to nonclassical spatial correlations can still be modeled classically. We propose a new formulation of Bell's theorem for temporal correlations; namely, we define nonclassical temporal correlations as the ones which cannot be simulated by propagating in time the classical information content of a quantum system given by the Holevo bound. We first show that temporal correlations between results of any projective quantum measurements on a qubit can be simulated classically. Then we present a sequence of general measurements on a single m-level quantum system that cannot be explained by propagating in time an m-level classical system and using classical computers with unlimited memory.