Title :
Quantum Algorithms of the Vertex Cover Problem on a Quantum Computer
Author :
Chang, Weng-Long ; Ren, Ting-Ting ; Feng, Mang ; Huang, Shu-Chien ; Lu, Lai Chin ; Lin, Kawuu Weicheng ; Guo, Minyi
Author_Institution :
Dept. of Comput. Sci. & Inf. Eng., Nat. Kaohsiung Univ. of Appl. Sci., Kaohsiung, Taiwan
Abstract :
In this paper, it is demonstrated that solving an instance of the vertex cover problem of any graph G with m edges and n vertices can be implemented by Hadamard gates, NOT gates, CNOT gates, CCNOT gates, Grover´s operators, and quantum measurements on a quantum computer. To test our theory, an NMR (nuclear magnetic resonance) experiment for the simplest vertex-cover problem is also performed.
Keywords :
logic gates; nuclear magnetic resonance; quantum computing; vertex functions; CCNOT gate; CNOT gate; Grover´s operator; Hadamard gate; NMR; NOT gate; graph theory; nuclear magnetic resonance; quantum algorithm; quantum computer; quantum measurement; vertex cover problem; Computer networks; Law; Legal factors; Nuclear magnetic resonance; Performance evaluation; Physics computing; Quantum computing; State-space methods; Testing; High Performance Computing; NMR.; Quantum Algorithms; Supercomputing; the NP-Complete Problems;
Conference_Titel :
Information Engineering, 2009. ICIE '09. WASE International Conference on
Conference_Location :
Taiyuan, Chanxi
Print_ISBN :
978-0-7695-3679-8
DOI :
10.1109/ICIE.2009.14
