Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: LOCC distinguishability of unilaterally transformable quantum states   We consider the question of perfect local distinguishability of mutually
orthogonal bipartite quantum states, with the property that every state can be
specified by a unitary operator acting on the local Hilbert space of Bob. We
show that if the states can be exactly discriminated by one-way LOCC where
Alice goes first, then the unitary operators can also be perfectly
distinguished by an orthogonal measurement on Bob's Hilbert space. We give
examples of sets of N<=d maximally entangled states in $d \otimes d $ for
d=4,5,6 that are not perfectly distinguishable by one-way LOCC. Interestingly
for d=5,6 our examples consist of four and five states respectively. We
conjecture that these states cannot be perfectly discriminated by two-way LOCC.

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The categories of this paper are: cs
9
The categories of this paper are: nlin
25
The categories of this paper are: patt-sol
29
The categories of this paper are: funct-an
35
The categories of this paper are: mtrl-th
4
The categories of this paper are: cond-mat
0
The categories of this paper are: hep-ph
11
The categories of this paper are: hep-lat
36
The categories of this paper are: cmp-lg
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The categories of this paper are: physics
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The categories of this paper are: hep-ex
24
The categories of this paper are: dg-ga
12
The categories of this paper are: nucl-th
20
The categories of this paper are: acc-phys
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The categories of this paper are: astro-ph
28
The categories of this paper are: alg-geom