Abstract
The time evolution of the distribution and shareability of quantum coherence of a tripartite system in a non-Markovian environment is examined. The total coherence can be decomposed into various contributions, ranging from local, global bipartite and global tripartite, which characterize the type of state. We identify coherence revivals for non-Markovian systems for all the contributions of coherence. The local coherence is found to be much more robust under the environmental coupling due to an effective smaller coupling to the reservoir. This allows us to devise a characterization of a quantum state in terms of a coherence tuple on a multipartite state simply by examining various combinations of reservoir couplings. The effect of the environment on the shareability of quantum coherence, as defined using the monogamy of coherence, is investigated and found that the sign of the monogamy is a preserved quantity under the decoherence. We conjecture that the monogamy of coherence is a conserved property under local incoherent processes.
Highlights
Coherence has been a central concept in quantum physics since the introduction of wave-particle duality
The dynamics of each non-interacting part can be represented by the reduced density matrix ρ(t) = ρρ101(1(00))|hh⁎(t(t)|)[2]
The time evolution of quantum coherence of a three qubit system each interacting with a local environment was been investigated in both the Markovian and non-Markovian limits
Summary
Coherence has been a central concept in quantum physics since the introduction of wave-particle duality. This is in contrast to either GHZ or W states, which have zero local coherence, and are purely tripartite and bipartite entangled[35]. We find that at any given time the local coherence has a lower decay rate than the global coherence.
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