Abstract
Received 2 November 2021DOI:https://doi.org/10.1103/PRXQuantum.3.010902Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article's title, journal citation, and DOI.Published by the American Physical SocietyPhysics Subject Headings (PhySH)Research AreasAtom interferometryEntanglement detectionExperimental studies of gravityQuantum gravityQuantum sensingQuantum InformationGravitation, Cosmology & AstrophysicsParticles & FieldsAtomic, Molecular & Optical
Highlights
It is possible to construct a channel on the qubit-oscillator system which satisfies all of our original requirements (time-translation invariance, preservation of σz, and separable), which exhibits (partial) collapse-and-revival dynamics
The original claim in our paper was that observation of collapse-and-revival dynamics in the atomic interferometry experiment proposed there would rule out any model in which gravity does not generate entanglement
This conclusion was too strong; as explained above, the correct statement is that a revival only directly rules out any model with separable Lindblad operators
Summary
It is possible to construct a channel on the qubit-oscillator system which satisfies all of our original requirements (time-translation invariance, preservation of σz, and separable), which exhibits (partial) collapse-and-revival dynamics. A given non-separable Krauss representation may require a non-local unitary rotation before admitting the expansion (1), and the constraints derived on the Lindblad operators in the paper are not generally correct. We correct the theorem replacing statement (c) above with a more explicit assumption (c’), expressed directly at the level of the Lindblad equation: (c’) L is generated by a separable Lindblad evolution: the differential time evolution ρ(t) = L[ρ(t0)] is given by ρ = −i[H , ρ] +
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