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Article overview
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Optimisation of Quantum Hamiltonian Evolution: Two Projection Operators | | Apoorva Patel
; Anjani Priyadarsini
; | | Date: |
5 Mar 2015 | | Abstract: | Given a quantum Hamiltonian and its evolution time, the corresponding unitary
evolution operator can be constructed in many different ways, corresponding to
different trajectories between the desired end-points. A choice among these
trajectories can then be made to obtain the best computational complexity and
control over errors. It is shown how a construction based on Grover’s algorithm
scales linearly in time and logarithmically in error bound, and is clearly
superior to the scheme based on straightforward application of the Lie-Trotter
formula. The strategy is then extended to simulation of any Hamiltonian that is
a linear combination of two projection operators. | | Source: | arXiv, 1503.1755 | | Services: | Forum | Review | PDF | Favorites | |
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