Unification of dynamical decoupling and the quantum Zeno effect (6 pages)

By P. Facchi, Daniel A. Lidar, S. Pascazio. 2003

269 citations recorded by the source corpus.

Chemical Physics Theory Group, Chemistry Department, University of Toronto,80 St. George Street, Toronto, Ontario M5S 3H6, Canada(Dated: February 1, 2008)We unify the quantum Zeno eﬀect (QZE) and the “bang-bang” (BB) decoupling method for sup-pressing decoherence in open quantum systems: in both cases strong coupling to an external systemor apparatus induces a dynamical superselection rule that partitions the open system’s Hilbert spaceinto quantum Zeno subspaces. Our uniﬁcation makes use of von Neumann’s ergodic theorem andavoids making any of the symmetry assumptions usually made in discussions of BB. Thus we areable to generalize BB to arbitrary fast and strong pulse sequences, requiring no symmetry, and toshow the existence of two alternatives to pulsed BB: continuous decoupling, and pulsed measure-ments. Our uniﬁed treatment enables us to derive limits on the eﬃcacy of the BB method: weexplicitly show that the inverse QZE implies that BB can in some cases accelerate, rather thaninhibit, decoherence.

Subfields: Artificial Intelligence, Atomic and Molecular Physics, and Optics

View Paper: https://www.semanticscholar.org/paper/29df5e698bc0a98e6f078819b38c9b7c9a1e2c7c

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Citations in the corpus

Protecting entanglement from decoherence using weak measurement and quantum measurement reversal (2011, methodology): “The quantum Zeno effect may also be used to suppress decoherenc”
Dynamics of Loschmidt echoes and fidelity decay (2006, background): “In the limit of ideal and infinitely short measurements quantum Zeno procedures have certain similarities [243] to the so-called “bang-bang” [244] limit of dynamical decoupling.”
Quantum error mitigation (2022, methodology): “In the limit of many rounds of instantaneous decoupling pulse, group-based DD is shown to be equivalent to making continuous symmetry measurements to achieve the quantum Zeno effect (Burgarth et al. , 2019; Facchi et al. , 2004).”
Bang–bang control of fullerene qubits using ultrafast phase gates (2006, background): “Ideas here often relate to the ‘quantum Zeno effect’ in which repeated measurement (or some related process) is capable of suppressing the natural evolution of the system [13, 14].”