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Author

Ian Teixeira

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2 papers indexed here

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Preprint Oct 2026

From Steane to A7: Quantum Codes from Invariant States

We construct a two-parameter family of single-error-correcting seven-ququart codes with transversal $\tilde{A_7}$ symmetry, realizing the finite component of a two-qubit super-golden gate set. These $((7,4,3))_4$ codes encode two logical qubits and support non-Clifford operations by applying the same gate to each physi...

Ian Teixeira · 0 citations
Preprint Aug 2026

Time-Reversal Selection Rules for Quantum Error Correction

We apply time-reversal symmetry to quantum codes and show that it imposes parity selection rules on the physical error algebra. A time-reversal-invariant logical qubit on an odd number of spins is a Kramers doublet, forcing every even-weight Pauli to act as a scalar. Consequently, all even-weight Knill--Laflamme condit...

Eric Kubischta, Ian Teixeira · 1 citation

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