Patent ID: 7423427

Claim:
A method for transforming, in a quantum computer or nuclear magnetic resonance device, a bare pulse into a fully-compensating composite pulse sequence of arbitrary accuracy, comprising the steps of: generating a composite pulse sequence such that, wherein the composite pulse sequence, denoted by R φ [n] (θ), is a sequence of operations {M φ 1 (θ 1 ), . . . , M φ 1 (θ 1 )} such that R φ [n] (θ)=M φ 1 (θ 1 )M φ 2 (φ 2 ) . . . M φ 1 (θ l )=R φ (θ)+O(ε n+1 ),for unknown error ε, R φ (−θε) is approximated by a product of operators R φ 1 (2k l πε); and replacing the bare pulse with the generated fully-compensating composite pulse sequence.