Unification of Dynamical Decoupling and the Quantum Zeno Effect

Details Unification of Dynamical Decoupling and the Quantum Zeno Effect Unification of Dynamical Decoupling and the Quantum Zeno Effect

2003-03-20

arxiv.org/abs/quant-ph/0303132v2

Phys. Rev. A 69 (2004) 032314

Physics

Quantum Physics

6 pages. To appear in Phys. Rev. A

Scientific paper

10.1103/PhysRevA.69.032314

We unify the quantum Zeno effect (QZE) and the "bang-bang" (BB) decoupling method for suppressing decoherence in open quantum systems: in both cases strong coupling to an external system or apparatus induces a dynamical superselection rule that partitions the open system's Hilbert space into quantum Zeno subspaces. Our unification makes use of von Neumann's ergodic theorem and avoids making any of the symmetry assumptions usually made in discussions of BB. Thus we are able to generalize BB to arbitrary fast and strong pulse sequences, requiring no symmetry, and to show the existence of two alternatives to pulsed BB: continuous decoupling, and pulsed measurements. Our unified treatment enables us to derive limits on the efficacy of the BB method: we explicitly show that the inverse QZE implies that BB can in some cases accelerate, rather than inhibit, decoherence.

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