title: Distribution of Quantum Coherence in Multipartite Systems.
abstract: The distribution of coherence in multipartite systems is examined. We use a new coherence measure with entropic nature and metric properties, based on the quantum Jensen-Shannon divergence. The metric property allows for the coherence to be decomposed into various contributions, which arise from local and intrinsic coherences. We find that there are trade-off relations between the various contributions of coherence, as a function of parameters of the quantum state. In bipartite systems the coherence resides on individual sites or is distributed among the sites, which contribute in a complementary way. In more complex systems, the characteristics of the coherence can display more subtle changes with respect to the parameters of the quantum state. In the case of the XXZ Heisenberg model, the coherence changes from a monogamous to a polygamous nature. This allows us to define the shareability of coherence, leading to monogamy relations for coherence.
authors.affiliation: New York University, 1555 Century Avenue, Pudong, Shanghai 200122, China.|NYU-ECNU Institute of Physics at NYU Shanghai, 3663 Zhongshan Road North, Shanghai 200062, China.
authors.forename: Chandrashekar
authors.initials: C
authors.lastname: Radhakrishnan
authors.affiliation: Department of Physics, Ramakrishna Mission Vivekananda College, Mylapore, Chennai 600004, India.
authors.forename: Manikandan
authors.initials: M
authors.lastname: Parthasarathy
authors.affiliation: Department of Physics, Ramakrishna Mission Vivekananda College, Mylapore, Chennai 600004, India.
authors.forename: Segar
authors.initials: S
authors.lastname: Jambulingam
authors.affiliation: New York University, 1555 Century Avenue, Pudong, Shanghai 200122, China.|NYU-ECNU Institute of Physics at NYU Shanghai, 3663 Zhongshan Road North, Shanghai 200062, China.|Department of Physics, New York University, New York 10002, USA.|National Institute of Informatics, 2-1-2 Hitotsubashi, Chiyoda-ku, Tokyo 101-8430, Japan.
authors.forename: Tim
authors.initials: T
authors.lastname: Byrnes