Fidelity and trace-norm distances for quantifying coherence
By Lian-He Shao, Zhengjun Xi, Heng Fan, Yongmin Li. 2014
238 citations recorded by the source corpus.
We investigate the coherence measures induced by fidelity and trace norm, based on the recent proposed coherence quantification in [Phys. Rev. Lett. 113, 140401, 2014]. We show that the fidelity of coherence does not in general satisfy the monotonicity requirement as a measure of coherence under the subselection of measurements condition. We find that the trace norm of coherence can act as a measure of coherence for qubit case and some special class of qutrits.
Subfields: Artificial Intelligence, Atomic and Molecular Physics, and Optics
View Paper: https://www.semanticscholar.org/paper/43cc28a16633eeb08c0e99edaa6d7fe483feb6fa
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In Artificial Intelligence
In Atomic and Molecular Physics, and Optics
Citations in the corpus
- Quantum coherence and geometric quantum discord (2017, background): “As showed through explicit examples by Shao et al. (2015) and proved strictly by Yao et al. (2015), the Kraus operators related to incoherent operationsΛ are very limited.”
- Quantum processes which do not use coherence (2015, background): “For instance this is known to be the case for the fidelity of coherence [36] Cf(ρ) ∶= min σ incoherent 1 − F (ρ, σ), (11)”