Time-optimal Hamiltonian simulation and gate synthesis using homogeneous local unitaries

Ll. Masanes; G. Vidal; J. I. Latorre

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Time-optimal Hamiltonian simulation and gate synthesis using homogeneous local unitaries

Ll. Masanes·G. Vidal·J. I. Latorre

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Abstract

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 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.

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Ll. Masanes, G. Vidal, J. I. Latorre. 2002-03-04. Time-optimal Hamiltonian simulation and gate synthesis using homogeneous local unitaries. https://arxiv.org/abs/quant-ph/0202042

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