Universal transversal gates
| Autor: | Gupta, Pragati, Morello, Andrea, Sanders, Barry C. |
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| Rok vydání: | 2024 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | A long-standing challenge in quantum error correction is the infeasibility of universal transversal gates, as shown by the Eastin-Knill theorem. We obtain a necessary and sufficient condition for a quantum code to have universal transversal gates and show that the Eastin-Knill no-go result is a special case that does not hold for a general error model. We present a code construction using~$n$~$d$-dimensional systems that changes the logical error probability from a lower bound~$ \Omega(\nicefrac{1}{n\log d})$ to an upper bound~$\mathcal O (\nicefrac{1}{n d})$ and allows exact correction of both local and correlated errors. Our universality condition determines the existence of a universal gate set for any quantum error-correcting code. Comment: 7 pages, 2 figures |
| Databáze: | arXiv |
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