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Phys. Rev. A 70, 052318 (2004) [4 pages]

Arbitrarily accurate composite pulse sequences

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Kenneth R. Brown1, Aram W. Harrow1,2, and Isaac L. Chuang1,2
1Center for Bits and Atoms, MIT, Cambridge, Massachusetts 02139, USA
2Department of Physics, MIT, Cambridge, Massachusetts 02139, USA

See Also: Erratum

Received 10 May 2004; published 19 November 2004

Systematic errors in quantum operations can be the dominating source of imperfection in achieving control over quantum systems. This problem, which has been well studied in nuclear magnetic resonance, can be addressed by replacing single operations with composite sequences of pulsed operations, which cause errors to cancel by symmetry. Remarkably, this can be achieved without knowledge of the amount of error ϵ. Independent of the initial state of the system, current techniques allow the error to be reduced to O(ϵ3). Here, we extend the composite pulse technique to cancel errors to O(ϵn), for arbitrary n.

© 2004 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevA.70.052318
DOI:
10.1103/PhysRevA.70.052318
PACS:
03.67.Pp, 32.80.Qk, 82.56.Jn

See Also

Erratum: Kenneth R. Brown, Aram W. Harrow, and Isaac L. Chuang, Erratum: Arbitrarily accurate composite pulse sequences [Phys. Rev. A 70, 052318 (2004)], Phys. Rev. A 72, 039905 (2005).