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Paper 1
The Smallest Code with Transversal T
Stergios Koutsioumpas, Darren Banfield, Alastair Kay
- Year
- 2022
- Journal
- arXiv preprint
- DOI
- arXiv:2210.14066
- arXiv
- 2210.14066
We prove that the smallest distance 3 Quantum Error Correcting Code with a transversal gate outside the Clifford group is the well-known 15-qubit Reed-Muller code, also known as a tri-orthogonal code. Our result relies on fewer assumptions than previous works. We further extend this result by finding the minimal code that also possesses any other non Clifford transversal single-qubit gate.
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