Time--optimal Hamiltonian simulation and gate synthesis using homogeneous local unitaries
Keyword(s):
Motivated by experimental limitations commonly met in the design of solid state quantum computers, we study the problems of non--local Hamiltonian simulation and non--local gate synthesis when only {\em homogeneous} local unitaries are performed in order to tailor the available interaction. Homogeneous (i.e. identical for all subsystems) local manipulation implies a more refined classification of interaction Hamiltonians than the inhomogeneous case, as well as the loss of universality in Hamiltonian simulation. For the case of symmetric two--qubit interactions, we provide time--optimal protocols for both Hamiltonian simulation and gate synthesis.
2001 ◽
Vol 298
(1-4)
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pp. 567-572
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2015 ◽
Vol 14
(04)
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pp. 1550040
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2017 ◽
Vol 147
(6)
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pp. 1279-1295
2007 ◽
Vol 271
(2)
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pp. 375-385
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2001 ◽
Vol 1
(1)
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pp. 75-81
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2021 ◽
Vol 477
(2251)
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pp. 20210185
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