Quantum Error Mitigated Classical Shadows Article Swipe
Hamza Jnane
,
Jonathan Steinberg
,
Zhenyu Cai
,
H. Chau Nguyen
,
Bálint Koczor
·
YOU?
·
· 2024
· Open Access
·
· DOI: https://doi.org/10.1103/prxquantum.5.010324
YOU?
·
· 2024
· Open Access
·
· DOI: https://doi.org/10.1103/prxquantum.5.010324
Classical shadows enable us to learn many properties of a quantum state ρ with very few measurements. However, near-term and early fault-tolerant quantum computers will only be able to prepare noisy quantum states ρ and it is thus a considerable challenge to efficiently learn properties of an ideal, noise-free state ρid. We consider error mitigation techniques, such as probabilistic error cancelation (PEC), zero noise extrapolation (ZNE), and symmetry verification (SV), which have been developed for mitigating errors in single expected value measurements and generalize them for mitigating errors in classical shadows. We find that PEC is the most natural candidate and thus develop a thorough theoretical framework for PEC shadows with the following rigorous theoretical guarantees: PEC shadows are an unbiased estimator for the ideal quantum state ρid; the sample complexity for simultaneously predicting many linear properties of ρid is identical to that of the conventional shadows approach up to a multiplicative factor, which is the sample overhead due to error mitigation. Due to efficient postprocessing of shadows, this overhead does not depend directly on the number of qubits but rather grows exponentially with the number of noisy gates. The broad set of tools introduced in this work may be instrumental in exploiting near-term and early fault-tolerant quantum computers: we demonstrate in detailed numerical simulations a range of practical applications of quantum computers that will significantly benefit from our techniques. Published by the American Physical Society 2024
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- Type
- article
- Language
- en
- Landing Page
- https://doi.org/10.1103/prxquantum.5.010324
- http://link.aps.org/pdf/10.1103/PRXQuantum.5.010324
- OA Status
- gold
- Cited By
- 28
- References
- 87
- Related Works
- 10
- OpenAlex ID
- https://openalex.org/W4391679242
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Raw OpenAlex JSON
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https://openalex.org/W4391679242Canonical identifier for this work in OpenAlex
- DOI
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https://doi.org/10.1103/prxquantum.5.010324Digital Object Identifier
- Title
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Quantum Error Mitigated Classical ShadowsWork title
- Type
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articleOpenAlex work type
- Language
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enPrimary language
- Publication year
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2024Year of publication
- Publication date
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2024-02-09Full publication date if available
- Authors
-
Hamza Jnane, Jonathan Steinberg, Zhenyu Cai, H. Chau Nguyen, Bálint KoczorList of authors in order
- Landing page
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https://doi.org/10.1103/prxquantum.5.010324Publisher landing page
- PDF URL
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https://link.aps.org/pdf/10.1103/PRXQuantum.5.010324Direct link to full text PDF
- Open access
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YesWhether a free full text is available
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goldOpen access status per OpenAlex
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https://link.aps.org/pdf/10.1103/PRXQuantum.5.010324Direct OA link when available
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Quantum, Computer science, Physics, Quantum mechanicsTop concepts (fields/topics) attached by OpenAlex
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28Total citation count in OpenAlex
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2025: 15, 2024: 12, 2023: 1Per-year citation counts (last 5 years)
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87Number of works referenced by this work
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10Other works algorithmically related by OpenAlex
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| counts_by_year[2].year | 2023 |
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| publication_date | 2024-02-09 |
| publication_year | 2024 |
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