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 …
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 …
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 …
a continuous-variable (CV) quantum system and are useful for correcting a variety of high …
Qudit entanglers using quantum optimal control
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 …
in quantum optimal control. We take advantage of both continuous, Lie algebraic control and …
Quantum simulations of SO (5) many-fermion systems using qudits
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 …
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 …
$ n $, the dimension of the codespace $ K $, and the distance of the code $ d $. But these …
Topology and entanglement of molecular phase space
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 …
Taking in molecular geometry and nuclear-spin data, our framework yields admissible …
Superselection rules and bosonic quantum computational resources
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 …
resources based on the computational power they generate in a bosonic quantum computer …
Quantum error correction for unresolvable spin ensemble
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 …
ability to perform quantum error correction (QEC) for the specific decoherence in these …