April 30, 2024Open Access

Primitive Quantum Gates for an SU (3) Discrete Subgroup: (363)

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Constructs a primitive gate set for quantum simulation in a discrete SU(3) subgroup, indicating a novel computational approach.

A primitive gate set for the Σ(36×3) group was constructed, enabling quantum simulations in a discrete nonabelian subgroup.
The study presents essential elements like the inversion gate, group multiplication gate, and Fourier transform, enhancing quantum computing capabilities.
The quantum gates were developed for both an eight-qubit encoding and a heterogeneous three-qutrit plus two-qubit register, demonstrating versatility in application for quantum circuits and architectures across 108 elements of the group structure. This allows for a new level of complexity in the representation of quantum states and operations, potentially improving quantum algorithms in broader contexts and settings, indicating significant advancement in quantum information processing fields or concepts related to quantum computing methodologies. With a novel compiler for unitary decomposition, more complex operations can be executed effectively within the constraints of this architecture, which could lead to better performance in real-world quantum applications.

Gustafson et al. (2024) studied this question.

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