Author

Victor V. Albert

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Preprint Sep 2026

Clifford-hierarchy stabilizer formalism with applications to twisted quantum doubles

Recent work has shown that quantum double models can be used to circumvent the Bravyi-Koenig bound. In particular, this is achieved through code-switching protocols in which non-Pauli stabilizer phases appear as intermediate codes. We introduce the $X\mathcal C^{(k)}_d$ stabilizer formalism, which generalizes the Pauli...

Christopher Fechisin, Kieran Cooney, M. Raja et al. · 1 citation

Preprint Oct 2026

Magic Quantum Code Surgery

Non-Clifford operations required for universal quantum computation can be implemented by measuring logical Clifford operators. We present a generalized framework to fault-tolerantly measure transversal Clifford logical operators in quantum low-density parity check (QLDPC) codes. Our protocol takes any QLDPC code and de...

Kathleen Chang, A. Lyons, Yuan-Jie Ren et al. · 0 citations

Preprint Aug 2026

Universal recovery in approximate quantum error correction

Universal recovery -- the existence of a single recovery map that corrects an entire family of error channels -- is a central feature of quantum error correction (QEC). In exact QEC, linearity guarantees that a code correcting a given error set also corrects every channel whose Kraus operators lie in its linear span, a...

Dor Elimelech, Victor V. Albert, Alexander Barg · 0 citations