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Experimental implementation of local adiabatic evolution algorithms by an NMR quantum information processor | | Avik Mitra
; Arindam Ghosh
; Ranabir Das
; Apoorva Patel
; Anil Kumar
; | | Date: |
5 Mar 2005 | | Subject: | quant-ph | | Abstract: | Quantum adiabatic algorithm is a method of solving computational problems by evolving the ground state of a slowly varying Hamiltonian. The technique uses evolution of the ground state of a slowly varying Hamiltonian to reach the required output state. In some cases, such as the adiabatic versions of Grover’s search algorithm and Deutsch-Jozsa algorithm, applying the global adiabatic evolution yields a complexity similar to their classical algorithms. However, using the local adiabatic evolution, the algorithms given by J. Roland and N. J. Cerf for Grover’s search [ Phys. Rev. A. {f 65} 042308(2002)] and by Saurya Das, Randy Kobes and Gabor Kunstatter for the Deutsch-Jozsa algorithm [Phys. Rev. A. {f 65}, 062301 (2002)], yield a complexity of order $sqrt{N}$ (where N=2$^{
m n}$ and n is the number of qubits). In this paper we report the experimental implementation of these local adiabatic evolution algorithms on a two qubit quantum information processor, by Nuclear Magnetic Resonance. | | Source: | arXiv, quant-ph/0503060 | | Services: | Forum | Review | PDF | Favorites | |
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