Estimation on geometric measure of quantum coherence. (English) Zbl 1358.81052
Summary: We study the geometric measure of quantum coherence recently proposed in [A. Streltsov et al., Phys. Rev. Lett. 115, No. 2, Article ID 020403 (2015; doi:10.1103/PhysRevLett.115.020403)]. Both lower and upper bounds of this measure are provided. These bounds are shown to be tight for a class of important coherent states – maximally coherent mixed states. The trade-off relation between quantum coherence and mixedness for this measure is also discussed.
MSC:
| 81P40 | Quantum coherence, entanglement, quantum correlations |
| 81P45 | Quantum information, communication, networks (quantum-theoretic aspects) |
| 81P50 | Quantum state estimation, approximate cloning |
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