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Article overview
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Non-diagonal problem Hamiltonian for adiabatic quantum computation | | Oleg Lychkovskiy
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23 Nov 2018 | | Abstract: | Adiabatic quantum computation starts from embedding a computational problem
into a Hamiltonian whose ground state encodes the solution to the problem. This
problem Hamiltonian, $H_{
m p}$, is normally chosen to be diagonal in the
computational basis, which is a product basis for qubits. We point out that
$H_{
m p}$ can be chosen to be non-diagonal. To be more precise, we show how
to construct $H_{
m p}$ in such a way that all its excited states are
entangled with respect to the qubit tensor product structure, while the ground
state is still of the product form and encodes the solution to the problem. We
discuss how such non-diagonal problem Hamiltonians might improve the
performance of the adiabatic quantum computation. | | Source: | arXiv, 1811.9453 | | Services: | Forum | Review | PDF | Favorites | |
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