Compressed quantum error mitigation
arXiv:2302.05457 · doi:10.1103/PhysRevB.107.L201114
Abstract
We introduce a quantum error mitigation technique based on probabilistic error cancellation to eliminate errors which have accumulated during the application of a quantum circuit. Our approach is based on applying an optimal "denoiser" after the action of a noisy circuit and can be performed with an arbitrary number of extra gates. The denoiser is given by an ensemble of circuits distributed with a quasiprobability distribution. For a simple noise model, we show that efficient, local denoisers can be found, and we demonstrate their effectiveness for the digital quantum simulation of the time evolution of simple spin chains.
arXiv comment11 pages, 12 figures
References in corpus (36)
- Quantum Computing in the NISQ era and beyond
- Supplementary information for "Quantum supremacy using a programmable superconducting processor"
- Polynomial-Time Algorithms for Prime Factorization and Discrete Logarithms on a Quantum Computer
- Good Quantum Error-Correcting Codes Exist
- A bound on chaos
- Error mitigation for short-depth quantum circuits
- Programmable quantum simulation of 2D antiferromagnets with hundreds of Rydberg atoms
- Time-evolution methods for matrix-product states
- Practical Quantum Error Mitigation for Near-Future Applications
- Simulating Lattice Gauge Theories within Quantum Technologies
- A Theory of Trotter Error
- Quantum Optimization of Maximum Independent Set using Rydberg Atom Arrays
- Probabilistic error cancellation with sparse Pauli-Lindblad models on noisy quantum processors
- Information propagation in isolated quantum systems
- Quantum localization bounds Trotter errors in digital quantum simulation
- Operator entanglement entropy of the time evolution operator in chaotic systems
- An efficient quantum algorithm for the time evolution of parameterized circuits
- Universal spin dynamics in infinite-temperature one-dimensional quantum magnets
- Efficient classical simulation of noisy random quantum circuits in one dimension
- Simple Mitigation of Global Depolarizing Errors in Quantum Simulations
- Hierarchy of relaxation timescales in local random Liouvillians
- Quasiprobability decompositions with reduced sampling overhead
- Information scrambling in chaotic systems with dissipation
- Optimal resource cost for error mitigation
- Errors and pseudo-thresholds for incoherent and coherent noise
- Modeling quantum noise for efficient testing of fault-tolerant circuits
- Quantum error mitigation via matrix product operators
- Physical Implementability of Linear Maps and Its Application in Error Mitigation
- Variational Hamiltonian simulation for translational invariant systems via classical pre-processing
- Quantum dynamics simulations beyond the coherence time on NISQ hardware by variational Trotter compression
- Optimal compression of quantum many-body time evolution operators into brickwall circuits
- Matrix product states approaches to operator spreading in ergodic quantum systems
- Entropic trade-off relations for quantum operations
- Quantifying the sensitivity to errors in analog quantum simulation
- Random matrix theory for quantum and classical metastability in local Liouvillians
- Noise effects on purity and quantum entanglement in terms of physical implementability