Author

Victor V. Albert

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Preprint Oct 2026

Quantum codes in the Lee metric

We introduce a quantum coding framework for discrete small-shift noise, in which errors on qudits are modeled as low-weight $X$- and $Z$-type Pauli shifts, analogous to small phase-space displacements in continuous-variable systems. This structure is approximately respected by nuclear-spin noise and captured by the Lee...

Jin-Kang Guo, Yi-Qiu Han, Aranya Chakraborty et al. · 1 citation · ⚡1

Preprint Oct 2026

Qubit CSS codes with Universal Transversal Gates

The Eastin-Knill theorem rules out a universal set of transversal logical gates on any code that detects single-qubit errors. The theorem constrains one partition of the qubits at a time. We show that depth-one layers of few-qubit gates, each respecting its own partition, can together generate a universal logical gate...

Arpit Dua, Adam Holmes, M. Gullans et al. · 0 citations