6 papers
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…