Mitigating noise in digital and digital-analog quantum computation
arXiv:2107.12969 · doi:10.1038/s42005-024-01812-5
Abstract
Noisy Intermediate-Scale Quantum (NISQ) devices lack error correction, limiting scalability for quantum algorithms. In this context, digital-analog quantum computing (DAQC) offers a more resilient alternative quantum computing paradigm that outperforms digital quantum computation by combining the flexibility of single-qubit gates with the robustness of analog simulations. This work explores the impact of noise on both digital and DAQC paradigms and demonstrates DAQC's effectiveness in error mitigation. We compare the quantum Fourier transform and quantum phase estimation algorithms under a wide range of single and two-qubit noise sources in superconducting processors. DAQC consistently surpasses digital approaches in fidelity, particularly as processor size increases. Moreover, zero-noise extrapolation further enhances DAQC by mitigating decoherence and intrinsic errors, achieving fidelities above 0.95 for 8 qubits, and reducing computation errors to the order of . These results establish DAQC as a viable alternative for quantum computing in the NISQ era.
References in corpus (32)
- Quantum Computing in the NISQ era and beyond
- Quantum algorithm for solving linear systems of equations
- Quantum Annealing in the Transverse Ising Model
- Noisy intermediate-scale quantum (NISQ) algorithms
- Adiabatic Quantum Computing
- Quantum principal component analysis
- Error mitigation for short-depth quantum circuits
- Effective quantum spin systems with ion traps
- Extending the computational reach of a noisy superconducting quantum processor
- Quantum Computation by Adiabatic Evolution
- Hybrid quantum-classical algorithms and quantum error mitigation
- Nuclear magnetic resonance spectroscopy: An experimentally accessible paradigm for quantum computing
- Detecting crosstalk errors in quantum information processors
- Superconducting Qubits: A Short Review
- Neutral Atom Quantum Computing Hardware: Performance and End-User Perspective
- Digital-Analog Quantum Computation
- Mitigating realistic noise in practical noisy intermediate-scale quantum devices
- A Coherent Quantum Annealer with Rydberg Atoms
- Mitigating algorithmic errors in Hamiltonian simulation
- Towards Pricing Financial Derivatives with an IBM Quantum Computer
- Digital-analog quantum algorithm for the quantum Fourier transform
- Fault-tolerant protection of near-term trapped-ion topological qubits under realistic noise sources
- Relationship between costs for quantum error mitigation and non-Markovian measures
- Approximating the quantum approximate optimization algorithm with digital-analog interactions
- Digital-Analog Quantum Simulations Using The Cross-Resonance Effect
- Superconducting Circuit Architecture for Digital-Analog Quantum Computing
- Efficient Hamiltonian Simulation for Solving Option Price Dynamics
- Enhanced connectivity of quantum hardware with digital-analog control
- Experimental quantification of spatial correlations in quantum dynamics
- Digital-Analog Quantum Computation with Arbitrary Two-Body Hamiltonians
- Digital-analog quantum simulation of fermionic models
- Optimizing Quantum Programs against Decoherence: Delaying Qubits into Quantum Superposition
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- Benchmarking Digital-Analog Quantum Computation
- Tight bound for the total time in digital-analog quantum computation
- Hamiltonian simulation with explicit formulas for Digital-Analog Quantum Computing