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Nondeterministic quantum computation via ground state cooling and ultrafast Grover algorithm | | P. V. Pyshkin
; Da-Wei Luo
; J. Q. You
; Lian-Ao Wu
; | | Date: |
5 Apr 2017 | | Abstract: | Over the last decades, there have been many proposals for quantum
computation. One of the promising candidates is adiabatic quantum computation
(AQC). The central idea of AQC is about finding the ground state of a system
with a problem Hamiltonian via particular adiabatic passages, starting from an
initialized ground state of a simple Hamiltonian. One disadvantage of AQC is
the significant growth of necessary runtime, in particular when there are
quantum phase transitions during the AQC passages. Here we propose a
nondeterministic ground state cooling quantum computation model based on
selective projection measurements on an ancilla coupled to the system with the
problem Hamiltonian previously cooled by conventional techniques. We illustrate
the model by Grover search problem and show that our nondeterministic model
requires a constant or at most logarithmic runtime and can also get rid of
possible difficulties in preparing the ground state of the simple Hamiltonian. | | Source: | arXiv, 1704.1467 | | Services: | Forum | Review | PDF | Favorites | |
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