Extending the computational reach of a noisy superconducting quantum processor

Abstract

Quantum computation, a completely different paradigm of computing, benefits from theoretically proven speed-ups for certain problems and opens up the possibility of exactly studying the properties of quantum systems. Yet, because of the inherent fragile nature of the physical computing elements, qubits, achieving quantum advantages over classical computation requires extremely low error rates for qubit operations as well as a significant overhead of physical qubits, in order to realize fault-tolerance via quantum error correction. However, recent theoretical work has shown that the accuracy of computation based off expectation values of quantum observables can be enhanced through an extrapolation of results from a collection of varying noisy experiments. Here, we demonstrate this error mitigation protocol on a superconducting quantum processor, enhancing its computational capability, with no additional hardware modifications. We apply the protocol to mitigate errors on canonical single- and two-qubit experiments and then extend its application to the variational optimization of Hamiltonians for quantum chemistry and magnetism. We effectively demonstrate that the suppression of incoherent errors helps unearth otherwise inaccessible accuracies to the variational solutions using our noisy processor. These results demonstrate that error mitigation techniques will be critical to significantly enhance the capabilities of near-term quantum computing hardware.

arXiv comment6 pages, 4 figures in main text. 4 pages, 4 figures in supplementary information

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• Phase vs coin vs position disorder as a probe for the resilience and revival of single particle entanglement in cyclic quantum walks
• Real-time adaptation of quantum noise channel estimates
• Experimental protocol for observing single quantum many-body scars with transmon qubits
• Digital Zero-Noise Extrapolation with Quantum Circuit Unoptimization
• Hardware-efficient quantum annealing with error mitigation via classical shadow
• Realizing non-trivial doublon formation using a quantum computer
• Noise-Agnostic Unbiased Quantum Error Mitigation for Logical Qubits
• Excited state calculations using variational quantum eigensolver with spin-restricted ansätze and automatically-adjusted constraints
• Circuit-Noise-Resilient Virtual Distillation
• State preparation and evolution in quantum computing: a perspective from Hamiltonian moments
• Machine learning logical gates for quantum error correction
• Perturbative tomography of small errors in quantum gates
• Mitigating Errors in Analog Quantum Simulation by Hamiltonian Reshaping or Hamiltonian Rescaling
• Freedom of mixer rotation-axis improves performance in the quantum approximate optimization algorithm
• Best-practice aspects of quantum-computer calculations: A case study of hydrogen molecule
• Experimental kernel-based quantum machine learning in finite feature space
• Ancilla-Assisted Protection of Information: Application to Atom-Cavity Systems
• Suppressing decoherence in quantum state transfer with unitary operations
• Qubit Readout Error Mitigation with Bit-flip Averaging
• Study of noise in virtual distillation circuits for quantum error mitigation
• Describing Trotterized Time Evolutions on Noisy Quantum Computers via Static Effective Lindbladians
• Distributing Quantum Computations, Shot-wise
• Noise Mitigation with Delay Pulses in the IBM Quantum Experience
• Sparse Non-Markovian Noise Modeling of Transmon-Based Multi-Qubit Operations
• Quantum process tomography of adiabatic and superadiabatic stimulated Raman passage
• Chemistry beyond the Hartree-Fock limit via quantum computed moments
• Molecular resonance identification in complex absorbing potentials via integrated quantum computing and high-throughput computing
• Locally Purified Maximally Mixed States At Scale: Entanglement Pruning and Symmetries
• Robust Error Accumulation Suppression for Quantum Circuits
• Quantum Computation
• The Efficiency Frontier: Classical Shadows versus Direct Quantum Measurement
• Quantum-Stable Robust Principal Component Analysis: Theory and Evidence from NISQ Regimes
• Towards Compact Wavefunctions from Quantum-Selected Configuration Interaction
• Data-Efficient Quantum Noise Modeling via Machine Learning
• Two Variations of Quantum Phase Estimation for Reducing Circuit Error Rates: Application to the Harrow--Hassidim--Lloyd Algorithm
• Error-Mitigated Quantum Random Access Memory
• Physics-Guided Linear Mapper for Quantum Error Mitigation
• Robust composite two-qubit gates for silicon-based spin qubits
• Quantum Gate Pattern Recognition and Circuit Optimization for Scientific Applications
• Active Sampling Sample-based Quantum Diagonalization from Finite-Shot Measurements
• Data-driven Quantum Dynamical Embedding Method for Long-term Prediction on Near-term Quantum Computers
• Nonlinear path-following via the asymptotic numerical method on a quantum processor
• Noisy Monitored Quantum Circuits
• Circuit connectivity boosts by quantum-classical-quantum interfaces
• Digit quantum simulation of a fermion field in an expanding universe
• Error-Mitigated Multi-Layer Quantum Routing
• Realizing Topological Quantum Walks on NISQ Digital Quantum Computer
• Calculation of $\pi$ on the IBM quantum computer and the accuracy of one-qubit operations
• Zero-Noise Extrapolation via Cyclic Permutations of Quantum Circuit Layouts