6 citations · 12 across the 8 of their papers we have counts for
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Stabilizer codes over general phase spaces
Sayan Chakraborty, Victor V. Albert
We develop a theory of stabilizer codes whose stabilizer groups consist of commuting qudit Paulis, oscillator displacements, and/or planar-rotor displacements. We consider codes wh…
Magic Quantum Code Surgery
Kathleen Chang, Anasuya Lyons, Yuanjie Ren +5
Non-Clifford operations required for universal quantum computation can be implemented by measuring logical Clifford operators. We present a generalized framework to fault-tolerantl…
Clifford-hierarchy stabilizer formalism with applications to twisted quantum doubles
Christopher Fechisin, Kieran Cooney, Mathi Raja +4
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-Pa…
Bosonic codes from compact phase spaces
David Roberts, Aaron Slipper, Alireza Parhizkar +2
We present the algebraic structure of bosonic quantum error-correcting codes on genus-two Riemann surfaces. We explicitly construct the code words as automorphic forms and analytic…
Universal recovery in approximate quantum error correction
Dor Elimelech, Victor V. Albert, Alexander Barg
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 QE…
Theory of approximate quantum error correction and the error-set model
Dor Elimelech, Victor V. Albert, Alexander Barg
We develop a theory of approximate quantum error correction (QEC) based on the error-set model, complemented by general methods for code construction. Exact QEC has a powerful erro…
Translation-invariant quantum low-density parity-check codes from compactified fracton models
Cassandra M. Hopkin, Victor V. Albert, Dominic J. Williamson
Quantum error-correcting codes with translation symmetry and local checks have been studied extensively, leading to a wide variety of fracton codes in three or more dimensions whic…