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Chinese Control and Decision Conference (CCDC)

Behavior of quantum decoherence under bang-bang controls

Yanhui Wang, Chunlei Jiang, Zhao-Hui Peng, Xiaofang Tang, Minzhuo Zhao

Published May 1, 2010• 0 citations
Publisher

Abstract

Bang-bang(BB) decoupling schemes for low-level atom systems in the cases of adiabatic decoherence alone, amplitude decoherence alone, and the case of adiabatic and amplitude decoherence together have been fully discussed. And for arbitrary-level atom system in amplitude decoherence, BB decoupling scheme was also given. Here after a review, we give the BB decoupling scheme for an arbitrary-level atom system in general decoherence.

DOI
10.1109/ccdc.2010.5498984

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Bang-bang(BB) decoupling schemes for low-level atom systems in the cases of adiabatic decoherence alone, amplitude decoherence alone, and the case of adiabatic and amplitude decoherence together have been fully discussed. And for arbitrary-level atom system in amplitude decoherence, BB decoupling scheme was also given. Here after a review, we give the BB decoupling scheme for an arbitrary-level atom system in general decoherence.
To suppress the decoherence, in addition to error-correcting codes and the error-avoiding codes, bang-bang control has also been introduced. Here in this work, we discuss how to suppress decoherence in quantum systems using bang-bang control, two cases have been discussed, adiabatic decoherence alone, and decoherence with both phase and amplitude damping. We also discussed the different cases when the system is made up of one atom or multi-atom and when such atom with two level or multi-level. It is found that in all the above cases, bang-bang control can suppress decoherence effectively.
In this paper, we derive the conditions of maintaining quantum coherence in arbitrary n-level atom in Ξ-configuration with Bang-Bang (BB) controls when the system exists the phase decoherence, the amplitude decoherence and the general decoherence (the amplitude damping and phase damping simultaneously), respectively. On this basis, we propose our BB decoupling scheme to suppress the phase decoherence in arbitrary n-level atom in Ξ-configuration. The corresponding decoupling operators are derived explicitly. At last we design the BB decoupling scheme to suppress phase decoherence for a six-level atom system in Ξ-configuration.
In this paper, we first present a brief derivation of the dynamical decoupling conditions. On this basis, we propose our bang-bang (BB) decoupling scheme to suppress the general decoherence, that is, the amplitude damping and phase damping simultaneously, in arbitrary n-level atom in Ξ-configuration. At the same time, we also consider the physical pluses implementation so that the decoupling BB operators in our decoupling scheme are provided explicitly. At last, taking an eight-level atom in Ξ-configuration for example, we use the BB decoupling scheme proposed to suppress the general decoherence, and design the pulse sequences for the BB control operators.