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Title: Ghost factors in Gauss-sum factorization with transmon qubits
Authors: Zaw, Lin Htoo
Tan, Paul Yuanzheng
Nguyen, Long Hoang
Budoyo, Rangga P.
Park, Kun Hee
Koh, Zhi Yang
Landra, Alessandro
Hufnagel, Christoph
Yap, Yung Szen
Koh, Teck Seng
Dumke, Rainer
Keywords: Science::Physics
Issue Date: 2021
Source: Zaw, L. H., Tan, P. Y., Nguyen, L. H., Budoyo, R. P., Park, K. H., Koh, Z. Y., Landra, A., Hufnagel, C., Yap, Y. S., Koh, T. S. & Dumke, R. (2021). Ghost factors in Gauss-sum factorization with transmon qubits. Physical Review A, 104(6), 062606-1-062606-13.
Project: CP0002392
Journal: Physical Review A
Abstract: A challenge in the Gauss sums factorization scheme is the presence of ghost factors - non-factors that behave similarly to actual factors of an integer - which might lead to the misidentification of non-factors as factors or vice versa, especially in the presence of noise. We investigate Type II ghost factors, which are the class of ghost factors that cannot be suppressed with techniques previously laid out in the literature. The presence of Type II ghost factors and the coherence time of the qubit set an upper limit for the total experiment time, and hence the largest factorizable number with this scheme. Discernability is a figure of merit introduced to characterize this behavior. We introduce preprocessing as a strategy to increase the discernability of a system, and demonstrate the technique with a transmon qubit. This can bring the total experiment time of the system closer to its decoherence limit, and increase the largest factorizable number.
ISSN: 2469-9926
DOI: 10.1103/PhysRevA.104.062606
Schools: School of Physical and Mathematical Sciences 
Rights: © 2021 American Physical Society. All rights reserved. This paper was published in Physical Review A and is made available with permission of American Physical Society.
Fulltext Permission: open
Fulltext Availability: With Fulltext
Appears in Collections:SPMS Journal Articles

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