A Unifying Framework for Spatial and Temporal Quantum Correlations

Abstract

Measurements on a single quantum system at different times reveal rich non-classical correlations similar to those observed in spatially separated multi-partite systems. Here we introduce a theory framework that unifies the description of temporal, spatial, and spatio-temporal resources for quantum correlations. We identify, and experimentally demonstrate simple cases where an exact mapping between the domains is possible. We then identify correlation resources in arbitrary situations, where not all spatial quantum states correspond to a process and not all temporal measurements have a spatial analogue. These results provide a starting point for the systematic exploration of multi-point temporal correlations as a powerful resource for quantum information processing.

5+3 pages

References in corpus (9)

• Quantum Circuits Architecture
• Quantum common causes and quantum causal models
• A "general boundary" formulation for quantum mechanics and quantum gravity
• Can a quantum state over time resemble a quantum state at a single time?
• Hardy's paradox and violation of a state-independent Bell inequality in time
• Connecting processes with indefinite causal order and multi-time quantum states
• Classical causal models for Bell and Kochen-Specker inequality violations require fine-tuning
• Probing the Non-Classicality of Temporal Correlations
• Generalizing Entanglement

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• Genuine Multipartite Entanglement in Time
• Leggett-Garg Macrorealism and temporal correlations
• Quantum Correlation Sharing: A Review On Recent Progress From Nonlocality To Other Non-Classical Correlations
• Quantum causal correlations and non-Markovianity of quantum evolution
• Filtering crosstalk from bath non-Markovianity via spacetime classical shadows
• Memory Effects in Quantum Processes
• Non-Markovian memory in IBMQX4
• Path Integrals from Spacetime Quantum Actions
• Relations between Markovian and non-Markovian correlations in multitime quantum processes
• Semi-device-independent certification of quantum non-Markovianity using sequential Random Access Codes
• Experimental demonstration of the violation of the temporal Peres-Mermin inequality using contextual temporal correlations and noninvasive measurements
• Certifying Temporal Correlations
• Quantum Correlations in Space-Time: Foundations and Applications
• George Sudarshan and Quantum Dynamics
• Translating Bell Non-Locality to Prepare-and-Measure Scenarios under Dimensional Constraints
• Spatial Leggett-Garg inequalities
• What are temporal correlations
• Quantum causal models via QBism
• Quantum Entanglement in Time