Non-Markovian Quantum Error Deterrence by Dynamical Decoupling in a General Environment

Details Non-Markovian Quantum Error Deterrence by Dynamical Decoupling in a General Environment Non-Markovian Quantum Error Deterrence by Dynamical Decoupling in a General Environment

2005-07-19

arxiv.org/abs/quant-ph/0507177v1

Physics

Quantum Physics

25 pages, 6 figures

Scientific paper

A dynamical decoupling scheme for the deterrence of errors in the non-Markovian (usually corresponding to low temperature, short time, and strong coupling) regimes suitable for qubits constructed out of a multilevel structure is studied. We use the effective spin-boson model (ESBM) introduced recently [K. Shiokawa and B. L. Hu, Phys. Rev. A70, 062106 (2004)] as a low temperature limit of the quantum Brownian oscillator model, where one can obtain exact solutions for a general environment with colored noises. In our decoupling scheme a train of pairs of strong pulses are used to evolve the interaction Hamiltonian instantaneously. Using this scheme we show that the dynamical decoupling method can suppress $1/f$ noise with slower and hence more accessible pulses than previously studied, but it still fails to decouple super-Ohmic types of environments.

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