Robust Characterization of Loss Rates

Abstract

Many physical implementations of qubits---including ion traps, optical lattices and linear optics---suffer from loss. A nonzero probability of irretrievably losing a qubit can be a substantial obstacle to fault-tolerant methods of processing quantum information, requiring new techniques to safeguard against loss that introduce an additional overhead that depends upon the loss rate. Here we present a scalable and platform-independent protocol for estimating the average loss rate (averaged over all input states) resulting from an arbitrary Markovian noise process, as well as an independent estimate of detector efficiency. Moreover, we show that our protocol gives an additional constraint on estimated parameters from randomized benchmarking that improves the reliability of the estimated error rate and provides a new indicator for non-Markovian signatures in the experimental data. We also derive a bound for the state-dependent loss rate in terms of the average loss rate.

At the request of referees, this paper expands upon and subsumes the incoherent leakage protocol from arXiv:1412.4126

References in corpus (5)

• Demonstration of Two-Qubit Algorithms with a Superconducting Quantum Processor
• Randomized Benchmarking of Quantum Gates
• Robust randomized benchmarking of quantum processes
• Accelerated Randomized Benchmarking
• Efficiencies of Quantum Optical Detectors

Cited by in corpus (30)

• Quantum certification and benchmarking
• Gate Set Tomography
• Theory of quantum system certification: a tutorial
• A general framework for randomized benchmarking
• Comparing Experiments to the Fault-Tolerance Threshold
• What randomized benchmarking actually measures
• Direct randomized benchmarking for multi-qubit devices
• Randomized benchmarking with gate-dependent noise
• Scalable randomized benchmarking of non-Clifford gates
• Scalable randomized benchmarking of quantum computers using mirror circuits
• Closed-loop control of a GaAs-based singlet-triplet spin qubit with 99.5% gate fidelity and low leakage
• Probing context-dependent errors in quantum processors
• Quantum Instruction Set Design for Performance
• Statistical analysis of randomized benchmarking
• Multi-qubit Randomized Benchmarking Using Few Samples
• Matchgate benchmarking: Scalable benchmarking of a continuous family of many-qubit gates
• Estimating the coherence of noise in quantum control of a solid-state qubit
• Bounding the average gate fidelity of composite channels using the unitarity
• Estimating the fidelity of T gates using standard interleaved randomized benchmarking
• Efficient Unitarity Randomized Benchmarking of Few-qubit Clifford Gates
• A Practical Introduction to Benchmarking and Characterization of Quantum Computers
• Randomized Benchmarking under Different Gatesets
• A polar decomposition for quantum channels (with applications to bounding error propagation in quantum circuits)
• Unitarity estimation for quantum channels
• Comparing randomized benchmarking figure with average infidelity of quantum gate-set
• Randomized Benchmarking with Leakage Errors
• Reliable Characterization for Improving and Validating Accurate Quantum Operations
• Leakage Benchmarking for Universal Gate Sets
• A Theory of Direct Randomized Benchmarking
• Noise resilience in adaptive and symmetric monitored quantum circuits