Quantification and Characterization of Leakage Errors

Abstract

We present a general framework for the quantification and characterization of leakage errors that result when a quantum system is encoded in the subspace of a larger system. To do this we introduce new metrics for quantifying the coherent and incoherent properties of the resulting errors, and we illustrate this framework with several examples relevant to superconducting qubits. In particular, we propose two quantities: the leakage and seepage rates, which together with average gate fidelity allow for characterizing the average performance of quantum gates in the presence of leakage and show how the randomized benchmarking protocol can be modified to enable the robust estimation of all three quantities for a Clifford gate set.

14 pages, 6 figures, and appendices

References in corpus (12)

• Quantum computing with trapped ions
• Randomized Benchmarking of Quantum Gates
• Simple pulses for elimination of leakage in weakly nonlinear qubits
• Robust randomized benchmarking of quantum processes
• Efficient Z-Gates for Quantum Computing
• Towards fault-tolerant quantum computing with trapped ions
• Analytic control methods for high fidelity unitary operations in a weakly nonlinear oscillator
• What randomized benchmarking actually measures
• Randomized benchmarking with gate-dependent noise
• Exchange-based two-qubit gate for singlet-triplet qubits
• Systematic Magnus-based approach for suppressing leakage and non-adiabatic errors in quantum dynamics
• Two-Qubit Pulse Gate for the Three-Electron Double Quantum Dot Qubit

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