Fault-Tolerant Quantum Computation Using Large Spin-Cat Codes

S Omanakuttan, V Buchemmavari, JA Gross… - PRX Quantum, 2024 - APS
We construct a fault-tolerant quantum error-correcting protocol based on a qubit encoded in
a large spin qudit using a spin-cat code, analogous to the continuous-variable cat encoding …

Family of Quantum Codes with Exotic Transversal Gates

E Kubischta, I Teixeira - Physical Review Letters, 2023 - APS
Recently, an algorithm has been constructed that shows that the binary icosahedral group 2I
together with a T-like gate forms the most efficient single-qubit universal gate set. To carry …

Spin-squeezed Gottesman-Kitaev-Preskill codes for quantum error correction in atomic ensembles

S Omanakuttan, TJ Volkoff - Physical Review A, 2023 - APS
Gottesman-Kitaev-Preskill (GKP) codes encode a qubit in displaced phase-space combs of
a continuous-variable (CV) quantum system and are useful for correcting a variety of high …

Qudit entanglers using quantum optimal control

S Omanakuttan, A Mitra, EJ Meier, MJ Martin… - PRX Quantum, 2023 - APS
We study the generation of two-qudit entangling quantum logic gates using two techniques
in quantum optimal control. We take advantage of both continuous, Lie algebraic control and …

Quantum simulations of SO (5) many-fermion systems using qudits

M Illa, CEP Robin, MJ Savage - Physical Review C, 2023 - APS
Background: The structure and dynamics of many-body systems are the result of a delicate
interplay between underlying interactions. Fermionic pairing, for example, plays a central …

The not-so-secret fourth parameter of quantum codes

E Kubischta, I Teixeira - arXiv preprint arXiv:2310.17652, 2023 - arxiv.org
A quantum code is usually referred to using three parameters: the number of physical qubits
$ n $, the dimension of the codespace $ K $, and the distance of the code $ d $. But these …

Topology and entanglement of molecular phase space

VV Albert, E Kubischta, M Lemeshko, LR Liu - arXiv preprint arXiv …, 2024 - arxiv.org
We formulate a quantum phase space for molecular rotational and nuclear-spin states.
Taking in molecular geometry and nuclear-spin data, our framework yields admissible …

Superselection rules and bosonic quantum computational resources

E Descamps, N Fabre, A Saharyan, A Keller… - arXiv preprint arXiv …, 2024 - arxiv.org
We present a method to systematically identify and classify quantum optical non-classical
resources based on the computational power they generate in a bosonic quantum computer …

\AE\codes

SP Jain, ER Hudson, WC Campbell… - arXiv preprint arXiv …, 2023 - arxiv.org
Diatomic molecular codes [{arXiv: 1911.00099}] are designed to encode quantum
information in the orientation of a diatomic molecule, allowing error correction from small …

Quantum error correction for unresolvable spin ensemble

H Sharma, HS Dhar, HK Lau - arXiv preprint arXiv:2408.11628, 2024 - arxiv.org
Spin ensembles are promising quantum technological platforms, but their utility relies on the
ability to perform quantum error correction (QEC) for the specific decoherence in these …