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- Title
PERFECT STATE TRANSFER, GRAPH PRODUCTS AND EQUITABLE PARTITIONS.
- Authors
GE, YANG; GREENBERG, BENJAMIN; PEREZ, OSCAR; TAMON, CHRISTINO
- Abstract
We describe new constructions of graphs which exhibit perfect state transfer on continuous-time quantum walks. Our constructions are based on generalizations of the double cones and variants of the Cartesian graph products (which include the hypercube). We also describe a generalization of the path collapsing argument (which reduces questions about perfect state transfer to simpler weighted multigraphs) for graphs with equitable distance partitions.
- Subjects
QUANTUM theory; INFORMATION science; GRAPH theory; INFORMATION networks; OPERATOR theory; ALGORITHMS; EIGENVALUES
- Publication
International Journal of Quantum Information, 2011, Vol 9, Issue 3, p823
- ISSN
0219-7499
- Publication type
Article
- DOI
10.1142/S0219749911007472