Universality of Uhrig dynamical decoupling for suppressing qubit pure dephasing and relaxation

Details Universality of Uhrig dynamical decoupling for suppressing qubit pure dephasing and relaxation Universality of Uhrig dynamical decoupling for suppressing qubit pure dephasing and relaxation

2008-07-25

arxiv.org/abs/0807.4058v1

Phys. Rev. Lett. 101, 180403 (2008)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

4 pages, 1 figures

Scientific paper

10.1103/PhysRevLett.101.180403

The optimal $N$-pulse dynamical decoupling discovered by Uhrig for a spin-boson mmodel [Phys. Rev. Lett, {\bf 98}, 100504 (2007)] is proved to be universal in suppressing to $O(T^{N+1})$ the pure dephasing or the longitudinal relaxation of a qubit (or spin-1/2) coupled to a generic bath in a short-time evolution of duration $T$. It is also found that for the purpose of suppressing the longitudinal relaxation, an ideal Uhrig $\pi$-pulse sequence can be generalized to a sequence consisting of the ideal one superimposed with finite-duration pulses satisfying certain symmetry requirements.

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