Efficient measurement of quantum gate error by interleaved randomized benchmarking
arXiv:1203.4550 · doi:10.1103/PhysRevLett.109.080505
Abstract
We describe a scalable experimental protocol for obtaining estimates of the error rate of individual quantum computational gates. This protocol, in which random Clifford gates are interleaved between a gate of interest, provides a bounded estimate of the average error of the gate under test so long as the average variation of the noise affecting the full set of Clifford gates is small. This technique takes into account both state preparation and measurement errors and is scalable in the number of qubits. We apply this protocol to a superconducting qubit system and find gate errors that compare favorably with the gate errors extracted via quantum process tomography.
5 pages, 2 figures, published version
References in corpus (11)
- Charge insensitive qubit design derived from the Cooper pair box
- Randomized Benchmarking of Quantum Gates
- Simple pulses for elimination of leakage in weakly nonlinear qubits
- Robust randomized benchmarking of quantum processes
- Direct Fidelity Estimation from Few Pauli Measurements
- Characterizing Quantum Gates via Randomized Benchmarking
- Complete universal quantum gate set approaching fault-tolerant thresholds with superconducting qubits
- Symmetrised Characterisation of Noisy Quantum Processes
- Randomized benchmarking and process tomography for gate errors in a solid-state qubit
- Randomized benchmarking of single and multi-qubit control in liquid-state NMR quantum information processing
- Randomized benchmarking of atomic qubits in an optical lattice
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