David S. Kung
DAC 1998
We propose a novel variational method for solving the sub-graph isomorphism problem on a gate-based quantum computer. The method relies (1) on a new representation of the adjacency matrices of the underlying graphs, which requires a number of qubits that scales logarithmically with the number of vertices of the graphs; and (2) on a new ansatz that can efficiently probe the permutation space. Simulations are then presented to showcase the approach on graphs up to 16 vertices, whereas, given the logarithmic scaling, the approach could be applied to realistic sub-graph isomorphism problem instances in the medium term.
David S. Kung
DAC 1998
Robert G. Farrell, Catalina M. Danis, et al.
RecSys 2012
György E. Révész
Theoretical Computer Science
Corneliu Constantinescu
SPIE Optical Engineering + Applications 2009