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Digitized-counterdiabatic quantum factorization

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arxiv 2301.11005 v1 pith:AG2DU4KS submitted 2023-01-26 quant-ph cond-mat.mes-hall

classification quant-phcond-mat.mes-hall
keywords quantumdcqfdigitized-counterdiabaticfactorizationachievementalgorithmarxivbetter
verification ladder T0 review T1 audit T2 compute T3 formal
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We factorize a 48-bit integer using 10 trapped-ion qubits on a Quantinuum's quantum computer. This result outperforms the recent achievement by B. Yan et al., arXiv:2212.12372 (2022), increasing the success probability by a factor of 6 with a non-hybrid digitized-counterdiabatic quantum factorization (DCQF) algorithm. We expect better results with hybrid DCQF methods on our path to factoring RSA-64, RSA-128, and RSA-2048 in this NISQ era, where the latter case may need digital-analog quantum computing (DAQC) encoding.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Improving Variational Counterdiabatic Driving with Weighted Actions and Computer Algebra

    quant-ph 2025-05 accept novelty 7.0 of 10

    A generalized variational action built from a polynomial of the Hamiltonian produces counterdiabatic driving protocols with markedly higher ground-state fidelity than the conventional method in quantum Ising models.

  2. Factoring integers via Schnorr's algorithm assisted with VQE

    quant-ph 2024-11 reject novelty 2.0 of 10

    A VQE-based variant of Schnorr's factoring algorithm factors 1961 in simulation, but only when the lattice diagonal and sr-pair from the original QAOA paper are reused, and the VQE step itself changed nothing.

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