Noise-resilient phase estimation with randomized compiling
arXiv:2208.04100 · doi:10.1103/PhysRevLett.130.250601
Abstract
We develop an error mitigation method for the control-free phase estimation. We prove a theorem that under the first-order correction, the noise channels with only Hermitian Kraus operators do not change the phases of a unitary operator, and therefore, the benign types of noise for phase estimation are identified. By using the randomized compiling protocol, we can convert the generic noise in the phase estimation circuits into stochastic Pauli noise, which satisfies the condition of our theorem. Thus we achieve a noise-resilient phase estimation without any quantum resource overhead. The simulated experiments show that our method can significantly reduce the estimation error of the phases by up to two orders of magnitude. Our method paves the way for the utilization of quantum phase estimation before the advent of fault-tolerant quantum computers.
arXiv comment5 pages 4 figures, with the appendix; final version for publication
References in corpus (41)
- Quantum Computing in the NISQ era and beyond
- Fault-tolerant quantum computation by anyons
- Supplementary information for "Quantum supremacy using a programmable superconducting processor"
- Quantum algorithm for solving linear systems of equations
- Surface codes: Towards practical large-scale quantum computation
- Simulated Quantum Computation of Molecular Energies
- Error mitigation for short-depth quantum circuits
- Quantum Algorithms Revisited
- Strong quantum computational advantage using a superconducting quantum processor
- Randomized Benchmarking of Quantum Gates
- Reliable Quantum Computers
- Extending the computational reach of a noisy superconducting quantum processor
- A quantum algorithm providing exponential speed increase for finding eigenvalues and eigenvectors
- Robust randomized benchmarking of quantum processes
- Efficient variational quantum simulator incorporating active error minimisation
- Entanglement-free Heisenberg-limited phase estimation
- Demonstration of the trapped-ion quantum-CCD computer architecture
- Noise tailoring for scalable quantum computation via randomized compiling
- Practical Quantum Error Mitigation for Near-Future Applications
- Hybrid Quantum-Classical Hierarchy for Mitigation of Decoherence and Determination of Excited States
- Spectral signatures of many-body localization with interacting photons
- Observation of Time-Crystalline Eigenstate Order on a Quantum Processor
- Resilient Quantum Computation: Error Models and Thresholds
- Information Scrambling in Computationally Complex Quantum Circuits
- Soundness and completeness of quantum root-mean-square errors
- Low-cost error mitigation by symmetry verification
- Error-mitigated digital quantum simulation
- Optimal Quantum Measurements of Expectation Values of Observables
- Detecting crosstalk errors in quantum information processors
- Efficient Bayesian Phase Estimation
- Heisenberg-limited ground state energy estimation for early fault-tolerant quantum computers
- Quantum phase estimation of multiple eigenvalues for small-scale (noisy) experiments
- Theory of quantum system certification: a tutorial
- Error Mitigation by Symmetry Verification on a Variational Quantum Eigensolver
- Robust Calibration of a Universal Single-Qubit Gate-Set via Robust Phase Estimation
- Algorithms for quantum simulation at finite energies
- Error mitigation via verified phase estimation
- Accurately computing electronic properties of a quantum ring
- Evaluating energy differences on a quantum computer with robust phase estimation
- Heisenberg-limited quantum phase estimation of multiple eigenvalues with few control qubits
- Randomized gap and amplitude estimation
Cited by in corpus (14)
- Quantum Error Mitigation
- Demonstrating Bayesian Quantum Phase Estimation with Quantum Error Detection
- Robust Quantum Gates against Correlated Noise in Integrated Quantum Chips
- Optimizing the information extracted by a single qubit measurement
- Benchmarking universal quantum gates via channel spectrum
- Algorithmic Shadow Spectroscopy
- Quantum error mitigation for Fourier moment computation
- Probing spectral features of quantum many-body systems with quantum simulators
- Error mitigation and circuit division for early fault-tolerant quantum phase estimation
- Estimating Coherent Contributions to the Error Profile Using Cycle Error Reconstruction
- Corrupted sensing quantum state tomography
- Mitigating Errors in Analog Quantum Simulation by Hamiltonian Reshaping or Hamiltonian Rescaling
- Bridging Pulse and Circuit Levels: A Geometric Framework for Deterministic Error Suppression
- Fluctuation-guided adaptive random compiler for Hamiltonian simulation