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Phys. Rev. Lett. 94, 060502 (2005) [4 pages]

Random Decoupling Schemes for Quantum Dynamical Control and Error Suppression

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Lorenza Viola1,* and Emanuel Knill2
1Department of Physics and Astronomy, Dartmouth College, 6127 Wilder Laboratory, Hanover, New Hampshire 03755, USA
2National Institute of Standards and Technology, 325 Broadway, Boulder, Colorado 80305, USA

Received 3 October 2004; published 17 February 2005

We present a general control-theoretic framework for constructing and analyzing random decoupling schemes, applicable to quantum dynamical control of arbitrary finite-dimensional composite systems. The basic idea is to design the control propagator according to a random rather than deterministic path on a group. We characterize the performance of random decoupling protocols, and identify control scenarios where they can significantly weaken time scale requirements as compared to cyclic counterparts. Implications for reliable quantum computation are discussed.

© 2005 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.94.060502
DOI:
10.1103/PhysRevLett.94.060502
PACS:
03.67.Pp, 03.65.Yz, 89.70.+c

*Corresponding author.

Electronic address: lorenza.viola@dartmouth.edu