Qubit noise deconvolution
arXiv:2112.03043 · doi:10.1140/epjqt/s40507-022-00151-0
Abstract
We present a noise deconvolution technique to remove a wide class of noises when performing arbitrary measurements on qubit systems. In particular, we derive the inverse map of the most common single qubit noisy channels and exploit it at the data processing step to obtain noise-free estimates of observables evaluated on a qubit system subject to known noise. We illustrate a self-consistency check to ensure that the noise characterization is accurate providing simulation results for the deconvolution of a generic Pauli channel, as well as experimental evidence of the deconvolution of decoherence noise occurring on Rigetti quantum hardware.
arXiv comment17 pages, 3 figures. Updated version taking into account the referee's comments. Added references and minor changes
References in corpus (33)
- Quantum Computing in the NISQ era and beyond
- Dynamical suppression of decoherence in two-state quantum systems
- Error mitigation for short-depth quantum circuits
- Quantum Computing with Very Noisy Devices
- Predicting Many Properties of a Quantum System from Very Few Measurements
- Extending the computational reach of a noisy superconducting quantum processor
- Noise tailoring for scalable quantum computation via randomized compiling
- Practical Quantum Error Mitigation for Near-Future Applications
- Scalable Noise Estimation with Random Unitary Operators
- From Classical to Quantum Shannon Theory
- Mitigating measurement errors in multi-qubit experiments
- Tomography of Quantum Operations
- Simple Mitigation of Global Depolarizing Errors in Quantum Simulations
- A quantum-classical cloud platform optimized for variational hybrid algorithms
- Imprinting a complete information about a quantum channel on its output state
- Spin tomography
- Unified approach to data-driven quantum error mitigation
- Quantum algorithm for Petz recovery channels and pretty good measurements
- Extending quantum probabilistic error cancellation by noise scaling
- Quorum of observables for universal quantum estimation
- Physical Implementability of Linear Maps and Its Application in Error Mitigation
- Approximate quantum error correction for generalized amplitude damping errors
- Quantum Stabilizer Codes for Correlated and Asymmetric Depolarizing Errors
- Optimal quantum tomography
- Orthogonality relations in Quantum Tomography
- Unital quantum operators on the Bloch ball and Bloch region
- Time reversals of irreversible quantum maps
- Quasi inversion of qubit channels
- Approximating Invertible Maps by Recovery Channels: Optimality and an Application to Non-Markovian Dynamics
- Quasi-inversion of quantum and classical channels in finite dimensions
- Maximum a posteriori estimation of quantum states
- Quantum deconvolution
- Renormalized quantum tomography