Suppressing decoherence is one of the most challenging problems in the control of quantum dyamical systems. Dynamical Decoupling is an open loop decoherence control technique based on high-frequency and high-amplitude periodic controls. Here, we reformulate the effects of the basic strategy in terms of linear, symmetric matrix equations. Such a reformulation proves to be useful both in the analysis and in the synthesis of the needed unitary control actions. A general framework is provided, and simple, but significant, particular cases are studied in detail.

Linear algebraic techniques for quantum dynamical decoupling

TICOZZI, FRANCESCO;FERRANTE, AUGUSTO
2005

Abstract

Suppressing decoherence is one of the most challenging problems in the control of quantum dyamical systems. Dynamical Decoupling is an open loop decoherence control technique based on high-frequency and high-amplitude periodic controls. Here, we reformulate the effects of the basic strategy in terms of linear, symmetric matrix equations. Such a reformulation proves to be useful both in the analysis and in the synthesis of the needed unitary control actions. A general framework is provided, and simple, but significant, particular cases are studied in detail.
Proceedings of the 44th IEEE Conference on Decision and Control, 2005 and 2005 European Control Conference. CDC-ECC '05.
9780780395671
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11577/2433546
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