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An adiabatic oracle for Grover's algorithm

Bin Yan
(
- Los Alamos
)
,
Nikolai A. Sinitsyn
(
- Los Alamos
)

Jul 12, 2022

9 pages

e-Print:

2207.05665 [quant-ph]

Report number:

LA-UR-22-26707

View in:

ADS Abstract Service

reference search2 citations

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Abstract: (arXiv)

Grover's search algorithm was originally proposed for circuit-based quantum computers. A crucial part of it is to query an oracle -- a black-box unitary operation. Generation of this oracle is formally beyond the original algorithm design. Here, we propose a realization of Grover's oracle for a large class of searching problems using a quantum annealing step. The time of this step grows only logarithmically with the size of the database. This suggests an efficient path to application of Grover's algorithm to practically important problems, such as finding the ground state of a Hamiltonian with a spectral gap over its ground state.

Note:

v2: new result added exploiting the topological nature of spin-1 geometric phase

gap: spectral
Grover algorithm
ground state
Hamiltonian
unitarity
adiabatic
quantum annealing
data management

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