6 citations · 12 across the 8 of their papers we have counts for
11 papers
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…
Quantum error correction beyond : spin, bosonic, and permutation-invariant codes from convex geometry
Arda Aydin, Victor V. Albert, Alexander Barg
We develop a framework for constructing quantum error-correcting codes and logical gates for three types of spaces -- composite permutation-invariant spaces of many qubits or qudit…
Hybrid Oscillator-Qudit Quantum Processors: stabilizer states, stabilizer codes, symplectic operations, and non-commutative geometry
Sayan Chakraborty, Victor V. Albert
We construct stabilizer states and error-correcting codes on combinations of discrete- and continuous-variable systems, generalizing the Gottesman-Kitaev-Preskill (GKP) quantum lat…
Letting the tiger out of its cage: bosonic coding without concatenation
Yijia Xu, Yixu Wang, Christophe Vuillot +1
Continuous-variable cat codes are encodings into a single photonic or phononic mode that offer a promising avenue for hardware-efficient fault-tolerant quantum computation. Protect…
Clifford operations and homological codes for rotors and oscillators
Yijia Xu, Yixu Wang, Victor V. Albert
We develop quantum information processing primitives for the planar rotor, the state space of a particle on a circle. By interpreting rotor wavefunctions as periodically identified…