Tulsi, Avatar (2009) Adiabatic quantum computation with a one-dimensional projector Hamiltonian. In: Physical Review A, 80 (5).
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Adiabatic quantum computation is based on the adiabatic evolution of quantum systems. We analyze a particular class of quantum adiabatic evolutions where either the initial or final Hamiltonian is a one-dimensional projector Hamiltonian on the corresponding ground state. The minimum-energy gap, which governs the time required for a successful evolution, is shown to be proportional to the overlap of the ground states of the initial and final Hamiltonians. We show that such evolutions exhibit a rapid crossover as the ground state changes abruptly near the transition point where the energy gap is minimum. Furthermore, a faster evolution can be obtained by performing a partial adiabatic evolution within a narrow interval around the transition point. These results generalize and quantify earlier works.
|Item Type:||Journal Article|
|Additional Information:||copyright of this article belongs to The American Physical Society.|
|Keywords:||ground states;Hilbert spaces;quantum computing.|
|Department/Centre:||Division of Physical & Mathematical Sciences > Physics|
|Date Deposited:||09 Jan 2010 09:39|
|Last Modified:||19 Sep 2010 05:54|
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