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An Experimental Study of Shor's Factoring Algorithm on IBM Q

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arxiv 1903.00768 v3 pith:IWTFHLCX submitted 2019-03-02 quant-ph

classification quant-ph
keywords algorithmperioddistributionexperimentalfactoringnumberoverlapquantitative
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abstract

We study the results of a compiled version of Shor's factoring algorithm on the ibmqx5 superconducting chip, for the particular case of $N=15$, $21$ and $35$. The semi-classical quantum Fourier transform is used to implement the algorithm with only a small number of physical qubits and the circuits are designed to reduce the number of gates to the minimum. We use the square of the statistical overlap to give a quantitative measure of the similarity between the experimentally obtained distribution of phases and the predicted theoretical distribution one for different values of the period. This allows us to assign a period to the experimental data without the use of the continued fraction algorithm. A quantitative estimate of the error in our assignment of the period is then given by the overlap coefficient.

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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. Breaking Memory Bottlenecks in Quantum Control Systems for More Precise Experiments and Higher Throughput Computing

    cs.AR 2026-08 conditional novelty 6.0 of 10

    Ant-Q pipelines quantum circuit loading, execution, and readout uplink on FPGA control boards using a DRAM plus BRAM hierarchy, supporting deep randomized benchmarking circuits and reducing classical overhead to near zero.

  2. An Al$^+$ clock with $1.6\times10^{-18}$ systematic uncertainty and its frequency ratios

    physics.atom-ph 2026-06 unverdicted novelty 5.0 of 10

    An Al+ single-ion clock is evaluated at 1.6×10^{-18} systematic uncertainty with absolute frequency 1121015393207859.19(24) Hz and ratio to Sr clock of 2.611701431781462668(36).

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