Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Communication cost of classically simulating a quantum channel with
  subsequent rank-1 projective measurement   A process of preparation, transmission and subsequent projective measurement
of a qubit can be simulated by a classical model with only two bits of
communication and some amount of shared randomness. However no model for n
qubits with a finite amount of classical communication is known at present. A
lower bound for the communication cost can provide useful hints for a
generalization. It is known for example that the amount of communication must
be greater than c 2^n, where c~0.01. The proof uses a quite elaborate theorem
of communication complexity. Using a mathematical conjecture known as the
"double cap conjecture", we strengthen this result by presenting a geometrical
and extremely simple derivation of the lower bound 2^n-1. Only rank-1
projective measurements are involved in the derivation.

6
The categories of this paper are: astro-ph
26
The categories of this paper are: bayes-an
22
The categories of this paper are: chao-dyn
36
The categories of this paper are: cmp-lg
8
The categories of this paper are: hep-ex
28
The categories of this paper are: alg-geom
10
The categories of this paper are: q-bio
19
The categories of this paper are: eess
7
The categories of this paper are: hep-th
21
The categories of this paper are: adap-org
16
The categories of this paper are: stat
27
The categories of this paper are: comp-gas
32
The categories of this paper are: atom-ph
33
The categories of this paper are: plasm-ph
12
The categories of this paper are: nucl-th
20
The categories of this paper are: acc-phys