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Indefinite causal orders from superpositions in time

David Felce, Nicetu Tibau Vidal, Vlatko Vedral, Eduardo O. Dias

2022Physical review. A/Physical review, A14 citationsDOIOpen Access PDF

Abstract

Treating the time of an event as a quantum variable, we derive a scheme in which superpositions in time are used to perform operations in an indefinite causal order. We use some aspects of a recently developed space-time-symmetric formalism of events. We propose a specific implementation of the scheme and recover the quantum switch, where quantum operations are performed in an order which is entangled with the state of a control qubit. Our scheme does not rely on any exotic quantum gravitational effect, but instead on phenomena which are naturally fuzzy in time, such as the decay of an excited atom.

Topics & Concepts

Formalism (music)QuantumQubitSpacetimeComputer scienceSpace timePhysicsScheme (mathematics)Quantum computerQuantum mechanicsTheoretical physicsMathematicsEngineeringVisual artsMathematical analysisChemical engineeringArtMusicalQuantum Mechanics and ApplicationsQuantum Information and CryptographyQuantum Computing Algorithms and Architecture
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