Simulation qutrit-based quantum computing

PennyLane Help
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Hi,

I’ven been working these weekS with the devices qml.default_qutrit and qml.default.qutrit.mixed and I was wondering about how Pennylane applied this simulations. I mean, what I read when i’m searching about this devices is for example:

The default.qutrit device is PennyLane’s standard qutrit-based device.
It implements the [`Device`](https://docs.pennylane.ai/en/stable/code/api/pennylane.devices._legacy_device.Device.html) methods as well as some built-in `qutrit operations`, and provides simple pure state simulation of qutrit-based quantum computing.

But there’s no specification about how you implement the qutrits simulation. ¿Which papers inspire you? ¿Which geometrical representation did you choose?. I would really love it if I can obtain more information :heart:.

Thank you .

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Hi @MirandaCarou ,

Welcome to the Forum!

I’ve asked the person who built our qutrit simulator to get back to you next week on this.

In the meantime you can take a look at the code if you want to learn about some of the functions implemented there.

I hope this helps!

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(@CatalinaAlbornoz hope you don’t mine me jumping in here!)

Hi @MirandaCarou, the operations are based primarily on two papers:

The observables are the Gell-Mann matrices (they’re like generalized Pauli matrices, and are the Hermitian generators of the standard rotations TRX, TRY, and TRZ.

There are also the operations for noise channels. One of the key references for those is arXiv 2003.03307, “Quantum Information Scrambling in a Superconducting Qutrit Processor”.

Hope that helps - if you have more specific questions, happy to pass them on to a student in my group who helped with the device development.

1 Like
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Thanks for jumping in @glassnotes_alt !

Jump in any time you want. Your insights are always very welcome :heart: .