2004/07/31 by Kenneth R. Brown, Kenneth Brown, Aram W. Harrow +3 · 7 citations
Computer Science · Physics and Astronomy · #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum chaos and dynamical systems #quant-ph
paper · pdf · doi:10.1103/physreva.70.052318
published as Phys. Rev. A 70, 052318 (2004) · 4 pages, 2 figures
openalex publication_date 2004/11/19 · arxiv created 2005/01/25 · arxiv updated 2009/12/01 · openalex created_date 2022/05/12 · openalex updated_date 2026/08/01
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.