# Contextual bound states for qudit magic state distillation

@article{Prakash2020ContextualBS, title={Contextual bound states for qudit magic state distillation}, author={Shiroman Prakash and Aashi Gupta}, journal={Physical Review A}, year={2020} }

Identifying necessary and sufficient conditions for universal quantum computing is a long-standing open problem for which contextuality is, perhaps, the only promising solution [Howard et al., Nature (London) 510, 351 (2014)]. To justify this conjecture, Howard et al. showed that contextuality is equivalent to Wigner negativity for qudits, and is therefore necessary and possibly sufficient for qudit magic state distillation. Here, we reformulate magic state distillation in the language of…

## 3 Citations

Magic state distillation with the ternary Golay code

- Computer ScienceProceedings of the Royal Society A
- 2020

It is found that the 11-qutrit Golay code can distil the ‘most magic’ qutrit state—an eigenstate of the qUTrit Fourier transform known as the strange state—with cubic error suppression and a remarkably high threshold.

Qutrit and ququint magic states

- Physics
- 2020

Non-stabilizer eigenstates of Clifford operators are natural candidates for endpoints of magic state distillation routines. We provide an explicit bestiary of all inequivalent non-stabilizer Clifford…

A normal form for single-qudit Clifford+T operators

- MathematicsQuantum Inf. Process.
- 2021

It is proved that the normal form of single-qutrit gates analogous to the Matsumoto-Amano normal form for qubits is optimal with respect to the number of gates used and that any string of Clifford+$T$ operators can be put into this normal form in polynomial time.

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