期刊
NEW JOURNAL OF PHYSICS
卷 22, 期 10, 页码 -出版社
IOP Publishing Ltd
DOI: 10.1088/1367-2630/abb899
关键词
quantum correlations; sequences of measurements; temporal correlations
资金
- Austrian Science Fund (FWF) [J 4258-N27, Y879-N27, ZK 3, F7113-N48]
- Austrian Academy of Sciences
- ERC [683107/TempoQ]
- Austrian Science Fund (FWF) [J4258] Funding Source: Austrian Science Fund (FWF)
The correlations arising from sequential measurements on a single quantum system form a polytope. This is defined by the arrow-of-time (AoT) constraints, meaning that future choices of measurement settings cannot influence past outcomes. We discuss the resources needed to simulate the extreme points of the AoT polytope, where resources are quantified in terms of the minimal dimension, or 'internal memory' of the physical system. First, we analyze the equivalence classes of the extreme points under symmetries. Second, we characterize the minimal dimension necessary to obtain a given extreme point of the AoT polytope, including a lower scaling bound in the asymptotic limit of long sequences. Finally, we present a general method to derive dimension-sensitive temporal inequalities for longer sequences, based on inequalities for shorter ones, and investigate their robustness to imperfections.
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