Abstract
Quantum coherence is an important physical resource in quantum computation and quantum information processing. In this paper, we firstly obtain an uncertainty-like expression relating two coherences contained in corresponding local bipartite quantum system. This uncertainty-like inequality shows that the larger the coherence of one subsystem, the less coherence contained in other subsystems. Further, we discuss in detail the uncertainty-like relation among three single-partite quantum systems. We show that the coherence contained in pure tripartite quantum system is greater than the sum of the coherence of all local subsystems.
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Acknowledgments
We thank the two reviewers on our manuscript for their useful comments. This work is supported by Shandong Provincial Natural Science Foundation, China (Grant No. ZR2015FQ006).
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Liu, F., Li, F., Chen, J. et al. Uncertainty-like relations of the relative entropy of coherence. Quantum Inf Process 15, 3459–3465 (2016). https://doi.org/10.1007/s11128-016-1354-4
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DOI: https://doi.org/10.1007/s11128-016-1354-4