Estimating quantum coherence by noncommutativity of any observable and its incoherent part

• URL: http://arxiv.org/abs/2004.07729v3
• Date: Tue, 21 Jun 2022 15:01:43 GMT
• Title: Estimating quantum coherence by noncommutativity of any observable and its incoherent part
• Authors: Tanaya Ray, Ahana Ghoshal, Arun Kumar Pati, Ujjwal Sen
• Abstract summary: We establish a lower bound on the quantum coherence of an arbitrary quantum state in arbitrary dimension. We use a noncommutativity estimator of an arbitrary observable of sub-unit norm, where the estimator is the commutator of the observable and its incoherent or classical part.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We establish a lower bound on the quantum coherence of an arbitrary quantum state in arbitrary dimension, using a noncommutativity estimator of an arbitrary observable of sub-unit norm, where the estimator is the commutator of the observable and its incoherent or classical part. The relation provides a direct method of obtaining an estimate of the quantum coherence of an arbitrary quantum state, without resorting to quantum state tomography or the existing witness operators.

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