TY - JOUR
T1 - Nonperturbative leakage elimination operators and control of a three-level system
AU - Jing, Jun
AU - Wu, Lian Ao
AU - Byrd, Mark
AU - You, J. Q.
AU - Yu, Ting
AU - Wang, Zhao Ming
N1 - Publisher Copyright:
© 2015 American Physical Society.
PY - 2015/5/15
Y1 - 2015/5/15
N2 - Dynamical decoupling operations have been shown to reduce errors in quantum information processing. Leakage from an encoded subspace to the rest of the system space is a particularly serious problem for which leakage elimination operators (LEOs) were introduced. Here we provide an analysis of nonideal pulses, rather than the well-understood idealization or bang-bang controls. Under realistic conditions, we show that these controls will provide the same protection from errors as idealized controls. Our work indicates that the effectiveness of LEOs depends on the integral of the pulse sequence in the time domain, which has been missing because of the idealization of pulse sequences. Our results are applied to a three-level system for the nitrogen-vacancy centers under an external magnetic field and are illustrated by the fidelity dynamics of LEO sequences, ranging from regular rectangular pulses, random pulses, and even disordered (noisy) pulses.
AB - Dynamical decoupling operations have been shown to reduce errors in quantum information processing. Leakage from an encoded subspace to the rest of the system space is a particularly serious problem for which leakage elimination operators (LEOs) were introduced. Here we provide an analysis of nonideal pulses, rather than the well-understood idealization or bang-bang controls. Under realistic conditions, we show that these controls will provide the same protection from errors as idealized controls. Our work indicates that the effectiveness of LEOs depends on the integral of the pulse sequence in the time domain, which has been missing because of the idealization of pulse sequences. Our results are applied to a three-level system for the nitrogen-vacancy centers under an external magnetic field and are illustrated by the fidelity dynamics of LEO sequences, ranging from regular rectangular pulses, random pulses, and even disordered (noisy) pulses.
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U2 - 10.1103/PhysRevLett.114.190502
DO - 10.1103/PhysRevLett.114.190502
M3 - Article
AN - SCOPUS:84930216209
SN - 0031-9007
VL - 114
JO - Physical Review Letters
JF - Physical Review Letters
IS - 19
M1 - 190502
ER -