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23 April 2024 |
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Quantum search using non-Hermitian adiabatic evolution | | Alexander I. Nesterov
; Gennady P. Berman
; | | Date: |
23 Aug 2012 | | Abstract: | We propose a non-Hermitian quantum annealing algorithm which can be useful
for solving complex optimization problems. We demonstrate our approach on
Grover’s problem of finding a marked item inside of unsorted database. We show
that the energy gap between the ground and excited states depends on the
relaxation parameters, and is not exponentially small. This allows a
significant reduction of the searching time. We discuss the relations between
the probabilities of finding the ground state and the survival of a quantum
computer in a dissipative environment. | | Source: | arXiv, 1208.4642 | | Services: | Forum | Review | PDF | Favorites | |
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