A hybrid quantum-classical approach to mitigating measurement errors
arXiv:2003.12314 · doi:10.1109/TC.2020.3009664
Abstract
When noisy intermediate scalable quantum (NISQ) devices are applied in information processing, all of the stages through preparation, manipulation, and measurement of multipartite qubit states contain various types of noise that are generally hard to be verified in practice. In this work, we present a scheme to deal with unknown quantum noise and show that it can be used to mitigate errors in measurement readout with NISQ devices. Quantum detector tomography that identifies a type of noise in a measurement can be circumvented. The scheme applies single-qubit operations only, that are with relatively higher precision than measurement readout or two-qubit gates. A classical post-processing is then performed with measurement outcomes. The scheme is implemented in quantum algorithms with NISQ devices: the Bernstein-Vazirani algorithm and a quantum amplitude estimation algorithm in IBMQ yorktown and IBMQ essex. The enhancement in the statistics of the measurement outcomes is presented for both of the algorithms with NISQ devices.
arXiv comment11 pages, 5 figures
References in corpus (25)
- Quantum Computing in the NISQ era and beyond
- Supplementary information for "Quantum supremacy using a programmable superconducting processor"
- A variational eigenvalue solver on a quantum processor
- Quantum Mechanics helps in searching for a needle in a haystack
- Quantum Amplitude Amplification and Estimation
- Error mitigation for short-depth quantum circuits
- Extending the computational reach of a noisy superconducting quantum processor
- Demonstration of a small programmable quantum computer with atomic qubits
- Practical Quantum Error Mitigation for Near-Future Applications
- Quantum State Discrimination
- Quantum advantage with shallow circuits
- Evenly distributed unitaries: on the structure of unitary designs
- Quantum state discrimination and its applications
- Quantum Risk Analysis
- Amplitude estimation without phase estimation
- Distillability and partial transposition in bipartite systems
- Mitigation of readout noise in near-term quantum devices by classical post-processing based on detector tomography
- Demonstration of fidelity improvement using dynamical decoupling with superconducting qubits
- Genuine 12-qubit entanglement on a superconducting quantum processor
- Designing Optimal Quantum Detectors Via Semidefinite Programming
- Detector Tomography on IBM 5-qubit Quantum Computers and Mitigation of Imperfect Measurement
- Quantum computation with universal error mitigation on superconducting quantum processor
- Quantum Approximate Counting, Simplified
- Quantum learning robust to noise
- Preserving Measurements for Optimal State Discrimination over Quantum Channels
Cited by in corpus (25)
- Noisy intermediate-scale quantum (NISQ) algorithms
- Quantum Error Mitigation
- Model-free readout-error mitigation for quantum expectation values
- Subspace Variational Quantum Simulator
- Modeling and mitigation of cross-talk effects in readout noise with applications to the Quantum Approximate Optimization Algorithm
- Error statistics and scalability of quantum error mitigation formulas
- Quantum readout error mitigation via deep learning
- Cross cross resonance gate
- HAMMER: boosting fidelity of noisy Quantum circuits by exploiting Hamming behavior of erroneous outcomes
- Error mitigation on a near-term quantum photonic device
- Readout error mitigated quantum state tomography tested on superconducting qubits
- Quantum support vector data description for anomaly detection
- Measurement Crosstalk Errors in Cloud-Based Quantum Computing
- Identification of topological phases using classically-optimized variational quantum eigensolver
- Virtual distillation with noise dilution
- Mitigating Quantum Errors via Truncated Neumann Series
- Scalable quantum measurement error mitigation via conditional independence and transfer learning
- Anticipative measurements in hybrid quantum-classical computation
- Detecting and Eliminating Quantum Noise of Quantum Measurements
- An Energy Estimation Benchmark for Quantum Computers
- Expressivity of deterministic quantum computation with one qubit
- Circuit-Noise-Resilient Virtual Distillation
- Superiority of Krylov shadow tomography in estimating quantum Fisher information: From bounds to exactness
- Multi-channel convolutional neural quantum embedding
- Qubit Readout Error Mitigation with Bit-flip Averaging