Storing quantum information in a quantum error correction code can protect it from errors,
but the ability to transform the stored quantum information in a fault tolerant way is equally …

In order to perform universal fault-tolerant quantum computation, one needs to implement a
logical non-Clifford gate. Consequently, it is important to understand codes that implement …

Recent constructions of quantum low-density parity-check (QLDPC) codes provide optimal
scaling of the number of logical qubits and the minimum distance in terms of the code length …

The Clifford hierarchy is a nested sequence of sets of quantum gates critical to achieving
fault-tolerant quantum computation. Diagonal gates of the Clifford hierarchy and 'nearly …

Motivated by their central role in fault-tolerant quantum computation, we study the sets of
gates of the third-level of the Clifford hierarchy and their distinguished subsets of 'nearly …

We identify a novel qudit gate which we refer to as the gate. This is an alternate
generalization of the qutrit T gate to any odd prime dimension d, in the dth level of the …

The teleportation model of quantum computation introduced by Gottesman and Chuang
(1999) motivated the development of the Clifford hierarchy. Despite its intrinsic value for …

Quantum error-correcting codes are used to protect qubits involved in quantum computation.
This process requires logical operators to be translated into physical operators acting on …

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 …

We aim to establish a scalable scheme for characterising diagonal non-Clifford gates for
single-and multi-qudit systems; d is a prime-power integer. By employing cyclic operators …