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Quantum Physics

arXiv:2103.06159 (quant-ph)
[Submitted on 10 Mar 2021]

Title:Factoring 2048 RSA integers in 177 days with 13436 qubits and a
multimode memory

Authors:Elie Gouzien, Nicolas Sangouard
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    Abstract: We analyze the performance of a quantum computer
    architecture combining a small processor and a storage unit. By
    focusing on integer factorization, we show a reduction by several
    orders of magnitude of the number of processing qubits compared
    to a standard architecture using a planar grid of qubits with
    nearest-neighbor connectivity. This is achieved by taking benefit
    of a temporally and spatially multiplexed memory to store the
    qubit states between processing steps. Concretely, for a
    characteristic physical gate error rate of $10^{-3}$, a processor
    cycle time of 1 microsecond, factoring a 2048 bits RSA integer is
    shown possible in 177 days with a processor made with 13436
    physical qubits and a multimode memory with 2 hours storage time.
    By inserting additional error-correction steps, storage times of
    1 second are shown to be sufficient at the cost of increasing the
    runtime by about 23 %. Shorter runtimes (and storage times) are
    achievable by increasing the number of qubits in the processing
    unit. We suggest realizing such an architecture using a microwave
    interface between a processor made with superconducting qubits
    and a multiplexed memory using the principle of photon echo in
    solids doped with rare-earth ions.

Comments: 5 pages, 13 pages of supplementary material
Subjects: Quantum Physics (quant-ph)
Cite as:  arXiv:2103.06159 [quant-ph]
          (or arXiv:2103.06159v1 [quant-ph] for this version)

Submission history

From: Elie Gouzien [view email]
[v1] Wed, 10 Mar 2021 16:17:54 UTC (233 KB)
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