Given some group G of logical gates, for instance the Clifford group, what are the quantum
encodings for which these logical gates can be implemented by simple physical operations …

We develop quantum information processing primitives for the planar rotor, the state space
of a particle on a circle. The n-rotor Clifford group, U (1) n (n+ 1)/2⋊ GL n (Z), is represented …

During the last 30 years, stimulated by the quest to build superconducting quantum
processors, a theory of quantum electrical circuits has emerged and this theory goes under …

The quantum rotor represents, after the harmonic oscillator, the next obvious quantum
system to study the complementary pair of variables: the angular momentum and the unitary …

We construct a family of two-dimensional topological stabilizer codes on continuous variable
(CV) degrees of freedom, which generalize homological rotor codes and the toric-GKP code …

Quantum error-correcting codes aim to protect information in quantum systems to enable
fault-tolerant quantum computations. The most prevalent method, stabilizer codes, has been …

Homological quantum error correction uses tools of algebraic topology and homological
algebra to derive Calderbank-Shor-Steane quantum error correcting codes from cellulations …

Traditional stabilizer codes operate over prime power local-dimensions. In this work we
extend the stabilizer formalism using the local-dimension-invariant setting to import stabilizer …