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Trapped Ion Quantum Computing

Universal transversal gates

arXiv
Authors: Pragati Gupta, Andrea Morello, Barry C. Sanders

Year

2024

Paper ID

38314

Status

Preprint

Abstract Read

~2 min

Abstract Words

113

Citations

N/A

Abstract

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 Ω\(1/nlog d\) to an upper bound mathcal O (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.

Why This Paper Matters

  • This paper contributes to the Trapped-Ion Quantum Computing research area in the Quantum Articles archive.
  • It adds a 2024 reference point for readers tracking recent quantum research.
  • A long-standing challenge in quantum error correction is the infeasibility of universal transversal gates, as shown by the Eastin-Knill theorem.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2410.07045 [2] arXiv https://arxiv.org/abs/2410.07045 [3] Publisher https://arxiv.org/abs/2410.07045

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