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Quantum Zeno approach with maximum stabilizer Hamiltonians for molecular energies | | Hongye Yu
; Tzu-Chieh Wei
; | | Date: |
1 Jun 2020 | | Abstract: | We consider the adiabatic and the simulated-annealing framework for the
quantum chemistry of small molecules. The initial Hamiltonian is taken to be
the maximum stabilizer Hamiltonian constructed from the final Hamiltonian for
molecules in the Pauli basis. We compare two variants, with the second variant
being the main contribution of this work. The first method is simply to use the
adiabatic evolution on the obtained time- or path-dependent Hamiltonian with
the initial state as the ground state of the maximum stabilizer Hamiltonian.
However, this does suffer from the usual problems of adiabatic quantum
computation due to the degeneracy and energy-level crossing in the
path-dependent Hamiltonian. This problem is solved by a Zeno method, i.e., via
the eigen-state projection used in the quantum simulated annealing, with the
path-dependent Hamiltonian augmented by the sum of Pauli X terms whose
contribution vanishes at the beginning and the end. In addition to the ground
state, the low lying excited states can also be obtained using this quantum
Zeno approach by varying initial states, whose accuracy is independent of the
ground state. | | Source: | arXiv, 2006.1066 | | Services: | Forum | Review | PDF | Favorites | |
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