Quantum search by parallel eigenvalue adiabatic passage

Abstract

We propose a strategy to achieve the Grover search algorithm by adiabatic passage in a very efficient way. An adiabatic process can be characterized by the instantaneous eigenvalues of the pertaining Hamiltonian, some of which form a gap. The key to the efficiency is based on the use of parallel eigenvalues. This allows us to obtain non-adiabatic losses which are exponentially small, independently of the number of items in the database in which the search is performed.

7 pages, 4 figures

References in corpus (4)

• Quantum Search by Local Adiabatic Evolution
• Robustness of adiabatic quantum computation
• Adiabatic quantum search with atoms in a cavity driven by lasers
• Analog Grover search by adiabatic passage in a cavity-laser-atom system

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