Interconversion between block coherence and multipartite entanglement in many-body systems
arxiv(2024)
摘要
Coherence is intrinsically related to projective measurement. When the fixed
projective measurement involves higher-rank projectors, the coherence resource
is referred to as block coherence, which comes from the superposition of
orthogonal subspaces. Here, we establish a set of quantitative relations for
the interconversion between block coherence and multipartite entanglement under
the framework of the block-incoherent operations. It is found that the
converted multipartite entanglement is upper bounded by the initial block
coherence of single-party system. Moreover, the generated multipartite
entanglement can be transferred to its subsystems and restored to block
coherence of the initial single-party system by means of local block-incoherent
operations and classical communication. In addition, when only the
coarse-grained quantum operations are accessible for the ancillary subsystems,
we further demonstrate that a lossless resource interconversion is still
realizable. Our results provide a versatile approach to utilize different
quantum resources in a cyclic fashion.
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