Work

Transversal gates for quantum CSS codes

Year: 2026

Type: preprint

Abstract: In this paper, we focus on the problem of computing the set of diagonal transversal gates fixing a CSS code. We determine the logical actions of the gates as well as the groups of transversal gates that induce non-trivial logical gates and logical identities. We explicitly declare the set of equations defining the groups, a key advantage and differentiator of our approach. We compute the complete set of transversal stabilizers and transversal gates for any CSS code arising from monomial codes, a family that includes decreasing monomial codes and polar codes. As a consequence, we recover and extend some results in the literature on CSS-T codes, triorthogonal codes, and divisible codes.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2601.21514

Authors: Camps-Moreno, Eduardo, López, Hiram H., Matthews, Gretchen L., Rengaswamy, Narayanan, San-José, Rodrigo

Institutions: Université de Bordeaux, Virginia Tech, University of Arizona

Topic: Quantum Computing Algorithms and Architecture

Subfield: Artificial Intelligence

Field: Computer Science

Domain: Physical Sciences

Open Access status: green

Funders: National Science Foundation, Simons Institute for the Theory of Computing, University of California Berkeley, European Regional Development Fund, Agencia Estatal de Investigación

Awards: Collaborative Research: CIF: Medium: QODED: Quantum codes Optimized for the Dynamics between Encoded Computation and Decoding using Classical Coding Techniques, Coding for Storage, Computing, and Quantum Error Correction, G3480869486, Collaborative Research: Evaluation Codes, Duals, and Applications, Collaborative Research: Evaluation Codes, Duals, and Applications, G4509960801, G6033112984, G6296285101, G7084143925

OpenAlex ID: W7126207234

Cites:

Cited by:

Related to: