Entropy of temporal entanglement
Leonardo Castellani
TL;DR
This paper introduces a formalism to quantify temporal entanglement in quantum systems, calculating its entropy in simple circuits, and providing a symmetrical approach to space-time correlations.
Contribution
It defines and computes temporal entanglement entropy using a history formalism, offering a novel way to analyze time correlations in quantum systems.
Findings
Temporal entanglement entropy can be explicitly calculated in quantum circuits.
The formalism provides a symmetrical treatment of space and time correlations.
Results demonstrate the applicability of the approach to simple quantum computations.
Abstract
A recently proposed history formalism is used to define temporal entanglement in quantum systems, and compute its entropy. The procedure is based on the time-reduction of the history density operator, and allows a symmetrical treatment of space and time correlations. Temporal entanglement entropy is explicitly calculated in two simple quantum computation circuits.
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Taxonomy
TopicsNeural Networks and Reservoir Computing · Quantum Computing Algorithms and Architecture · Quantum Information and Cryptography