Quantum subspace expansion in the presence of hardware noise Article Swipe

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João C. Getelina , Prachi Sharma , Thomas Iadecola , Peter P. Orth , Yong‐Xin Yao ·

YOU? · · 2024 · Open Access · · DOI: https://doi.org/10.1063/5.0217294

Finding ground state energies on current quantum processing units (QPUs) using algorithms such as the variational quantum eigensolver (VQE) continues to pose challenges. Hardware noise severely affects both the expressivity and trainability of parameterized quantum circuits, limiting them to shallow depths in practice. Here, we demonstrate that both issues can be addressed by synergistically integrating VQE with a quantum subspace expansion, allowing for an optimal balance between quantum and classical computing capabilities and costs. We perform a systematic benchmark analysis of the iterative quantum-assisted eigensolver in the presence of hardware noise. We determine ground state energies of 1D and 2D mixed-field Ising spin models on noisy simulators and the IBM QPUs ibmq_quito (5 qubits) and ibmq_guadalupe (16 qubits). To maximize accuracy, we propose a suitable criterion to select the subspace basis vectors according to the trace of the noisy overlap matrix. Finally, we show how to systematically approach the exact solution by performing controlled quantum error mitigation based on probabilistic error reduction on the noisy backend fake_guadalupe.

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Quantum Computing

Computer Science

Quantum

Benchmark (Surveying)

Algorithm

Physics

Artificial Intelligence

Quantum Mechanics

Geography

Geodesy

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Qubit Quantum computer Subspace topology Computer science Noise (video) Quantum Benchmark (surveying) Quantum error correction Quantum algorithm Algorithm Quantum circuit Quantum state Physics Artificial intelligence Quantum mechanics Image (mathematics) Geography Geodesy

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Type: article
Language: en
Landing Page: https://doi.org/10.1063/5.0217294
OA Status: diamond
Cited By: 8
References: 64
Related Works: 10
OpenAlex ID: https://openalex.org/W4402748609

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DOI: https://doi.org/10.1063/5.0217294

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Title: Quantum subspace expansion in the presence of hardware noise

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Language: en

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Publication year: 2024

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Publication date: 2024-09-01

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Authors: João C. Getelina, Prachi Sharma, Thomas Iadecola, Peter P. Orth, Yong‐Xin Yao

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Landing page: https://doi.org/10.1063/5.0217294

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Concepts: Qubit, Quantum computer, Subspace topology, Computer science, Noise (video), Quantum, Benchmark (surveying), Quantum error correction, Quantum algorithm, Algorithm, Quantum circuit, Quantum state, Physics, Artificial intelligence, Quantum mechanics, Image (mathematics), Geography, Geodesy

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Cited by: 8

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Citations by year (recent): 2025: 7, 2024: 1

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