Problem-tailored Simulation of Energy Transport on Noisy Quantum Computers Article Swipe
YOU?
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· 2024
· Open Access
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· DOI: https://doi.org/10.22331/q-2024-12-03-1545
The transport of conserved quantities like spin and charge is fundamental to characterizing the behavior of quantum many-body systems. Numerically simulating such dynamics is generically challenging, which motivates the consideration of quantum computing strategies. However, the relatively high gate errors and limited coherence times of today's quantum computers pose their own challenge, highlighting the need to be frugal with quantum resources. In this work we report simulations on quantum hardware of infinite-temperature energy transport in the mixed-field Ising chain, a paradigmatic many-body system that can exhibit a range of transport behaviors at intermediate times. We consider a chain with sites and find results broadly consistent with those from ideal circuit simulators over 90 Trotter steps, containing up to 990 entangling gates. To obtain these results, we use two key problem-tailored insights. First, we identify a convenient basisthe Pauli basisin which to sample the infinite-temperature trace and provide theoretical and numerical justifications for its efficiency relative to, e.g., the computational basis. Second, in addition to a variety of problem-agnostic error mitigation strategies, we employ a renormalization strategy that compensates for global nonconservation of energy due to device noise. We discuss the applicability of the proposed sampling approach beyond the mixed-field Ising chain and formulate a variational method to search for a sampling basis with small sample-to-sample fluctuations for an arbitrary Hamiltonian. This opens the door to applying these techniques in more general models.
Related Topics
- Type
- article
- Language
- en
- Landing Page
- https://doi.org/10.22331/q-2024-12-03-1545
- https://quantum-journal.org/papers/q-2024-12-03-1545/pdf/
- OA Status
- gold
- Cited By
- 2
- References
- 92
- Related Works
- 10
- OpenAlex ID
- https://openalex.org/W4404968414
Raw OpenAlex JSON
- OpenAlex ID
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https://openalex.org/W4404968414Canonical identifier for this work in OpenAlex
- DOI
-
https://doi.org/10.22331/q-2024-12-03-1545Digital Object Identifier
- Title
-
Problem-tailored Simulation of Energy Transport on Noisy Quantum ComputersWork title
- Type
-
articleOpenAlex work type
- Language
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enPrimary language
- Publication year
-
2024Year of publication
- Publication date
-
2024-12-03Full publication date if available
- Authors
-
I‐Chi Chen, Klée Pollock, Yong‐Xin Yao, Peter P. Orth, Thomas IadecolaList of authors in order
- Landing page
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https://doi.org/10.22331/q-2024-12-03-1545Publisher landing page
- PDF URL
-
https://quantum-journal.org/papers/q-2024-12-03-1545/pdf/Direct link to full text PDF
- Open access
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YesWhether a free full text is available
- OA status
-
goldOpen access status per OpenAlex
- OA URL
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https://quantum-journal.org/papers/q-2024-12-03-1545/pdf/Direct OA link when available
- Concepts
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Basis (linear algebra), Computer science, Algorithm, Pauli exclusion principle, Quantum, Quantum simulator, Quantum computer, Statistical physics, Physics, Quantum mechanics, Mathematics, GeometryTop concepts (fields/topics) attached by OpenAlex
- Cited by
-
2Total citation count in OpenAlex
- Citations by year (recent)
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2025: 2Per-year citation counts (last 5 years)
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92Number of works referenced by this work
- Related works (count)
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10Other works algorithmically related by OpenAlex
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