Quantum Computation Using Large Spin Qudits

TL;DR

This paper investigates quantum computation with large spin qudits, focusing on high-fidelity gate generation, fault-tolerance encoding, and error correction techniques to advance neutral atom quantum computing.

Contribution

It introduces protocols for high-fidelity gates, fault-tolerant encoding schemes, and error correction methods tailored for large spin qudits in neutral atom systems.

Findings

High-fidelity universal gate protocols for 87Sr qudits.

Fault-tolerant schemes outperform standard protocols.

Efficient leakage to erasure error conversion methods.

Abstract

This dissertation explores quantum computation using qudits encoded into large spins, emphasizing the concept of quantum co-design to harness the unique capabilities of physical platforms for enhanced quantum information processing. First, we delve into the generation of high-fidelity universal gate sets for quantum computation with qudits. Leveraging principles from quantum optimal control, Rydberg physics, and the atomic structure of alkaline-earth atoms, we propose protocols for high-fidelity universal gate sets in the ground state of 87Sr with reasonable experimental parameters. Next, we analyze schemes to encode a qubit in the large spin qudits for fault-tolerant quantum computation (FTQC). By comprehending the most dominant noise in the physical system, we develop FTQC protocols that outperform the standard protocols. Finally, considering spin qudits for neutral atom quantum computation, we studied protocols for converting leakage errors to erasure errors resource efficiently. Also, we developed cooling methods for neutral atoms without destroying the quantum information.