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quant-ph2026
Quantum codes are quantized codes: Stabilizer codes from quantization over finite fields
Michael Zurel
We present a discrete analogue of geometric quantization over finite fields which, when applied to certain classical error-correcting codes, yields quantum error-correcting codes.…
quant-ph2026
High-threshold magic state distillation with quantum quadratic residue codes
Michael Zurel, Santanil Jana, Nadish de Silva
We present applications of quantum quadratic residue codes in magic state distillation. This includes showing that existing codes which are known to distill magic states, like the…
quant-ph2026
Basis-independent stabilizerness and maximally noisy magic states
Michael Zurel, Jack Davis
Absolutely stabilizer states are those that remain convex mixtures of stabilizer states after conjugation by any unitary. Here we give a characterization of such states for multipl…