New classes of topological quantum codes derived from embeddings of graphs on compact surfaces.
Clarice Dias de AlbuquerqueReginaldo Palazzo JúniorEduardo Brandani da SilvaPublished in: ISIT (2010)
Keyphrases
- reeb graph
- binary codes
- graph matching
- morse theory
- digital topology
- hamming distance
- topological features
- vector space
- point cloud
- dimensionality reduction
- graph theory
- error correction
- critical points
- quantum computation
- similarity search
- surface reconstruction
- algebraic structures
- probability ranking principle
- simply connected
- information retrieval
- topological properties
- graph theoretic
- graph representation
- graph mining
- euclidean space
- principal component analysis
- multi class
- three dimensional