Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Distinguishability and indistinguishability by LOCC   We show that a set of linearly independent quantum states $\{(U_{m,n}\otimes
I)\rho ^{AB}(U_{m,n}^{\dagger}\otimes I)\}_{m,n=0}^{d-1}$, where $U_{m,n}$ are
generalized Pauli matrices, cannot be discriminated deterministically or
probabilistically by local operations and classical communications (LOCC). On
the other hand, any $l$ maximally entangled states from this set are locally
distinguishable if $l(l-1)\le 2d$. The explicit projecting measurements are
obtained to locally discriminate these states. As an example, we show that four
Werner states are locally indistinguishable.

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The categories of this paper are: plasm-ph
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The categories of this paper are: chem-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: comp-gas
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The categories of this paper are: math-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: ao-sci
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The categories of this paper are: cmp-lg
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The categories of this paper are: supr-con
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The categories of this paper are: astro-ph
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The categories of this paper are: eess
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The categories of this paper are: acc-phys
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The categories of this paper are: nlin
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The categories of this paper are: cs
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The categories of this paper are: gr-qc
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The categories of this paper are: nucl-ex