Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The block-coherence measures and the coherence measures based on
  positive-operator-valued measures   We mainly study the block-coherence measures based on resource theory of
block-coherence and the coherence measures based on positive-operator-valued
measures (POVM). Several block-coherence measures including a block-coherence
measure based on maximum relative entropy, the one-shot block coherence cost
under the maximally block-incoherent operations, and a coherence measure based
on coherent rank have been introduced and the relationships between these
block-coherence measures have been obtained. We also give the definition of the
maximally block-coherent state and describe the deterministic coherence
dilution process by constructing block-incoherent operations. Based on the POVM
coherence resource theory, we propose a POVM-based coherence measure by using
the known scheme of building POVM-based coherence measures from block-coherence
measures, and the one-shot block coherence cost under the maximally
POVM-incoherent operations. The relationship between the POVM-based coherence
measure and the one-shot block coherence cost under the maximally
POVM-incoherent operations is analysed.

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The categories of this paper are: hep-ph
4
The categories of this paper are: cond-mat
17
The categories of this paper are: q-fin
21
The categories of this paper are: adap-org
36
The categories of this paper are: cmp-lg
32
The categories of this paper are: atom-ph
29
The categories of this paper are: funct-an
15
The categories of this paper are: nucl-ex
27
The categories of this paper are: comp-gas
2
The categories of this paper are: math
6
The categories of this paper are: astro-ph
8
The categories of this paper are: hep-ex
9
The categories of this paper are: nlin
1
The categories of this paper are: cs
23
The categories of this paper are: solv-int
33
The categories of this paper are: plasm-ph