Paper Info
Title
The GHZ/W-calculus contains rational arithmetic
Abstract
Graphical calculi for representing interacting quantum systems serve a number of purposes: compositionally, intuitive graphical reasoning, and a logical underpinning for automation. The power of these calculi stems from the fact that they embody generalized symmetries of the structure of quantum operations, which, for example, stretch well beyond the Choi-Jamiolkowski isomorphism. One such calculus takes the GHZ and W states as its basic generators. Here we show that this language allows one to encode standard rational calculus, with the GHZ state as multiplication, the W state as addition, the Pauli X gate as multiplicative inversion, and the Pauli Z gate as additive inversion.
Year
DOI
Venue
2010
10.4204/EPTCS.52.4
HPC
Keywords
DocType
ISSN
quantum physics
Journal
EPTCS 52, 2011, pp. 34-48
Citations 
PageRank 
References 
3
0.44
2
Authors
4
Name
Order
Citations
PageRank
Bob Coecke1912104.22
Aleks Kissinger217122.32
Alex Merry3161.22
Shibdas Roy483.71