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A paper released during the SIGBOVIK 2024 conference details an attempt to simulate the IBM quantum utility experiment on a Commodore 64. The idea might seem preposterous - pitting a 40-year-old home computer against a device powered by 127-Qubit Eagle quantum processing unit (QPU). However, the anonymous researcher(s) conclude that the Qommodore 64 performed faster, and more efficiently, than IBMs pride-and-joy, while being decently accurate on this problem.

At the beginning of the paper, the researchers admit that their Qommodore 64 project is a joke, but, sadly for IBM, its proof of quantum utility was also built upon shaky foundations, and the Qommodore 64 team came up with some convincing-looking benchmarks. There was some controversy about IBMs claims at the time, and we are reminded it took just five days for the quantum experiment to be simulated on an ordinary MacBook M1 Pro laptop. The jokey Quantum Disadvantage paper (PDF link, headlining section starts at page 199) ports this experiment to a machine packing the far more humble MOS Technology 6510 processor.

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To get deep into the weeds with the quantum theory and math behind the quantum utility experiment, please follow the above PDF link. However, to summarize, the C64-based experiment uses the sparse Pauli dynamics technique developed by Begui, Hejazi, and Chan to approximate the behavior of ferromagnetic materials. Famously, IBM claimed such calculations were too difficult to perform on a classical computer to an acceptable accuracy, using the leading approximation techniques, recalls the paper. Not quite, and as already mentioned above, an ordinary laptop can obtain similar results.

The anonymous C64 user(s) provide some interesting details of their quantum-defeating feat. Their aggressively truncated and shallow depth-first search model used just 15kB of the spacious 64kB available on the iconic Commodore machine. Meanwhile, the final code consisted of about 2,500 lines of 6502 assembly, stored on a cartridge that fitted in the C64s expansion port. This code was handled by the mighty 1 MHz 8-bit MOS 6510 CPU. The C64 took approx 4 minutes per data point. (Testing the same code on a modern laptop achieved roughly 800s per data point.)

In conclusion, the researcher(s) asserts that the Qommodore 64 is faster than the quantum device datapoint-for-datapoint it is much more energy efficient and it is decently accurate on this problem. On the topic of how applicable this research is to other quantum problems, it is snarkily suggested that it probably wont work on almost any other problem (but then again, neither do quantum computers right now). Overall, it is difficult to know whether the results are entirely genuine, though a lot of detail is provided and the linked research references in the paper seem genuine.

We know many readers are retro computing enthusiasts, as well as DIYers and makers. So it is good to know that the author(s) of this paper say that they will provide source code to allow others to replicate their results. However, source code will only be supplied in one of three formats, they say: a copy handwritten on papyrus, a slide-show of blurry screenshots recorded on a VHS tape, or that I dictate it to you personally over the phone. So please add an extra pinch of salt to this story for that.

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Commodore 64 claimed to outperform IBM's quantum system sarcastic researchers say 1 MHz computer is faster ... - Tom's Hardware