Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Zero-Error Sum Modulo Two with a Common Observation   This paper investigates the classical modulo two sum problem in source
coding, but with a common observation: a transmitter observes $(X,Z)$, the
other transmitter observes $(Y,Z)$, and the receiver wants to compute $X \oplus
Y$ without error. Through a coupling argument, this paper establishes a new
lower bound on the sum-rate when $X-Z-Y$ forms a Markov chain.

32
The categories of this paper are: atom-ph
3
The categories of this paper are: physics
28
The categories of this paper are: alg-geom
21
The categories of this paper are: adap-org
13
The categories of this paper are: quant-ph
15
The categories of this paper are: nucl-ex
35
The categories of this paper are: mtrl-th
29
The categories of this paper are: funct-an
26
The categories of this paper are: bayes-an
22
The categories of this paper are: chao-dyn
25
The categories of this paper are: patt-sol
33
The categories of this paper are: plasm-ph
7
The categories of this paper are: hep-th
37
The categories of this paper are: supr-con
24
The categories of this paper are: dg-ga
5
The categories of this paper are: gr-qc