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Sandia scores the best quantum hardware 137,000 times short of breaking RSA-2048

The Sandia-led QUOPS benchmark rates a quantum computer by the largest useful circuit it can finish and how fast it finishes it. Across Google, IBM and Quantinuum machines the best score was 1,824, against a chemistry target of 250 million.

The Scientist · Science desk

Illustration accompanying Sandia scores the best quantum hardware 137,000 times short of breaking RSA-2048

What happened

  • Sandia National Laboratories led a team that built QUOPS, a benchmark that measures the largest computationally relevant circuit a quantum computer can successfully run and the speed at which it completes those operations.
  • Quantinuum's Helios-1 trapped-ion processor ran the largest calculations, scoring more than 1,500 QUOPS on the strength of a layout in which any qubit can talk to any other, though moving the ions makes it slow.
  • Google's and IBM's superconducting processors, whose qubits sit in rigid grids, were capped near 200 QUOPS but ran much faster, with Google's Willow handling 20 million operations per second.
  • Breaking RSA 2048 or modeling complex molecules would take roughly 250 million to 340 million QUOPS, and the highest score any physical hardware reached was 1,824.

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Why it matters

  • cost Error correction costs capability: on the same Quantinuum hardware, the fault-tolerant configuration ran circuits more than 37 times smaller, even though researchers call that design route the only viable one.
  • constraint The requirement figures on the record are for cryptanalysis and FeMoco-class chemistry. Nobody has worked out the equivalent number for a bank pricing financial risk or a shipper optimising logistics.
  • decision Procurement conversations can move off qubit counts and onto two numbers, a size score and a rate, with trapped-ion and superconducting machines landing on opposite sides of them.
  • contradiction Nvidia, which collaborated on the work, treats the score as a reality check, while Mauerer says the benchmark cannot capture what quantum compute power really is, so its own users disagree about what a QUOPS number settles.

Error correction costs capability today, and the paper shows how much. Run as a fault-tolerant machine, one that catches and corrects its own errors, Helios-1 scored about 40 QUOPS, more than 37 times below what the same hardware managed with plain physical qubits [3]. Adding qubits makes a machine more error-prone, and researchers think error-correcting designs are the only viable future [18].

The distances to the useful targets are far larger. The low end of the requirement for breaking RSA-2048 or modeling a molecule like FeMoco, which is central to nitrogen fixing [16], is 250 million QUOPS [6]. The best physical-hardware result in the paper falls short of that by a factor of about 137,000 [1], and by about 186,000 against the top of the requirement range [2]. The fault-tolerant configuration is short by roughly 6.25 million [4]. Sandia's authors wrote that "Computational capability must grow by 5 orders of magnitude, motivating fault-tolerant approaches" [9]. Proctor told New Scientist that the turning point arrives when logical qubits reach higher QUOPS scores than ordinary qubits, after which the goal is matching those scores to useful algorithms [19].

The comparison is the part a buyer would use. An algorithm gets a QUOPS score too, and if the algorithm's score is larger than the machine's, the computation will not work; if the machine's score is comparable or larger, it ought to be useful for that problem [14]. Phys.org reported that no common scale for comparing different systems existed before this [24]. The score comes from randomized patterns of qubit operations that stand in for circuits used in some real scientific calculations, not from any customer's workload [3]. Requirement figures on the record cover cryptography and molecular chemistry [6]. Phys.org lists financial risk and logistics optimization among the problems these machines are being built for [11]. Neither report says what those problems would require.

The two figures do not rank the machines the same way. Helios-1's ions can each interact with any other, which is what let it run the largest circuits, and transporting those ions is what makes it slow [4]. Google and IBM fix their qubits in rigid grids. The grids restrict communication, cap the size score near 200 and make the machines fast [5].

The work is a preprint by Timothy Proctor and colleagues, posted to arXiv [10]. Nvidia collaborated on it, and Sam Stanwyck there described the result as a reality check [20]. Wolfgang Mauerer at the Technical University of Applied Sciences Regensburg said "These kinds of benchmarks are very useful at the moment" [21], and he also said "What quantum compute power really is, that is not yet fully understood, and that cannot be captured in the benchmark" [22].

What to watch

  • Whether the 250 million to 340 million QUOPS requirement estimates survive peer review of the arXiv preprint.
  • Whether Google, IBM and Quantinuum begin publishing QUOPS scores and rates for their own machines.
  • Mauerer's extension: QUOPS scores for machines built on qubit types other than trapped ions and superconducting circuits.
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