Title
Graphical Calculus For Qutrit Systems
Abstract
We introduce a graphical calculus for multi-qutrit systems (the qutrit ZX-calculus) based on the framework of dagger symmetric monoidal categories. This graphical calculus consists of generators for building diagrams and rules for transforming diagrams, which is obviously different from the qubit ZX-calculus. As an application of the qutrit ZX-calculus, we give a graphical description of a (2, 3) threshold quantum secret sharing scheme. In this way, we prove the correctness of the secret sharing scheme in a intuitively clear manner instead of complicated linear algebraic operations.
Year
DOI
Venue
2015
10.1587/transfun.E98.A.391
IEICE TRANSACTIONS ON FUNDAMENTALS OF ELECTRONICS COMMUNICATIONS AND COMPUTER SCIENCES
Keywords
Field
DocType
dagger symmetric monoidal category, qutrit ZX-calculus, quantum secret sharing
Discrete mathematics,Algebra,Quantum secret sharing,Qutrit,Dagger symmetric monoidal category,Mathematics,Calculus
Journal
Volume
Issue
ISSN
E98A
1
0916-8508
Citations 
PageRank 
References 
2
0.40
2
Authors
2
Name
Order
Citations
PageRank
Xiaoning Bian120.40
Quanlong Wang2132.97