Arbitrarily accurate composite pulses

Details Arbitrarily accurate composite pulses Arbitrarily accurate composite pulses

2004-07-02

arxiv.org/abs/quant-ph/0407022v2

Phys. Rev. A 70, 052318 (2004)

Physics

Quantum Physics

4 pages, 2 figures

Scientific paper

10.1103/PhysRevA.70.052318

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 epsilon. Independent of the initial state of the system, current techniques allow the error to be reduced to O(epsilon^3). Here, we extend the composite pulse technique to cancel errors to O(epsilon^n), for arbitrary n.

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