Tackling Systematic Errors in Quantum Logic Gates with Composite Rotations
arXiv:quant-ph/0208092 · doi:10.1103/PhysRevA.67.042308
Abstract
We describe the use of composite rotations to combat systematic errors in single qubit quantum logic gates and discuss three families of composite rotations which can be used to correct off-resonance and pulse length errors. Although developed and described within the context of NMR quantum computing these sequences should be applicable to any implementation of quantum computation.
6 pages RevTex4 including 4 figures. Will submit to Phys. Rev. A
References in corpus (8)
- Elementary gates for quantum computation
- Experimental realization of Shor's quantum factoring algorithm using nuclear magnetic resonance
- Implementation of a Quantum Algorithm to Solve Deutsch's Problem on a Nuclear Magnetic Resonance Quantum Computer
- Design of Strongly Modulating Pulses to Implement Precise Effective Hamiltonians for Quantum Information Processing
- Efficient fault-tolerant quantum computing
- Use of composite rotations to correct systematic errors in NMR quantum computation
- Avoiding Quantum Chaos in Quantum Computation
- Perturbation Theory for Quantum Computation with Large Number of Qubits
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