Cross-Platform Verification of Intermediate Scale Quantum Devices
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We describe a protocol for cross-platform verification of quantum simulators and quantum computers. We show how to measure directly the overlap Tr[ρ_{1}ρ_{2}] and the purities Tr[ρ_{1,2}^{2}], and thus a fidelity of two, possibly mixed, quantum states ρ_{1} and ρ_{2} prepared in separate experimental platforms. We require only local measurements in randomized product bases, which are communicated classically. As a proof of principle, we present the measurement of experiment-theory fidelities for entangled 10-qubit quantum states in a trapped ion quantum simulator.
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Randomized measurements can be used to measure the overlap Tr(ρ1 ρ2) of two density matrices.
“Alternatively, one can use randomized measurements to measure the overlap Tr ( ρ 1 ρ 2 ) of two density matrices ρ 1 , ρ 2 (Elben et al. , 2020, 2019; van Enk and Beenakker, 2012).”
From Noisy intermediate-scale quantum algorithms (2022) · cites this paper as Elben et al., 2020
Using randomized measurements, the kernel can be computed in a time that scales linearly with the dataset size D, which allows for processing large datasets with quantum computers.
“Using randomized measurements (Elben et al. , 2020), the kernel can be computed in a time that scales linearly with the dataset size D , which allows for processing large datasets with quantum computers (Haug et al. , 2021c).”
From Noisy intermediate-scale quantum algorithms (2022) · cites this paper as Elben et al. , 2020
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Efficient characterizations of multiphoton states with an ultra-thin optical device
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Entanglement Estimation in Tensor Network States via Sampling
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Collective Randomized Measurements in Quantum Information Processing
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Efficient Distributed Inner-Product Estimation via Pauli Sampling
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- Authors
- Elben, A., Vermersch, B., van Bijnen, R., Kokail, C., Brydges, T., Maier, C., Joshi, M. K., Blatt, R., Roos, C. F., & Zoller, P.
- Affiliations
- Austrian Academy of Sciences (AT)
- ORCID
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2020-01-06
- Volume
- 124
- Issue
- 1
- Pages
- 010504-010504
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W2971898467
- Cited by
- 151
- References
- 37
- Citations by year
- 2026: 11 · 2025: 28 · 2024: 27 · 2023: 21 · 2022: 26 · 2021: 22 · 2020: 16
- FWCI
- 8.35
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Locations
- Physical Review Letters (publishedVersion)
- arXiv (Cornell University) (publishedVersion)
- PubMed (publishedVersion)
- arXiv (Cornell University)
- Funders
- H2020 European Research Council
- Horizon 2020 Framework Programme (741541, 817482, 731473)
- Simons Foundation (651440)
- Austrian Science Fund
- Topics
- Physical Sciences › Computer Science › Artificial Intelligence › Quantum Information and Cryptography
- Physical Sciences › Computer Science › Artificial Intelligence › Quantum Computing Algorithms and Architecture
- Physical Sciences › Physics and Astronomy › Atomic and Molecular Physics, and Optics › Quantum Mechanics and Applications
- Keywords
- quantum fidelity, quantum state purity, quantum simulators, quantum computing hardware, entangled states, trapped-ion quantum simulator
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