Generalized Hamiltonian to describe imperfections in ion-light interaction

Abstract

We derive a general Hamiltonian that governs the interaction between an $N$-ion chain and an externally controlled laser field, where the ion motion is quantized and the laser field is considered beyond the plane-wave approximation. This general form not only explicitly includes terms that are used to drive ion-ion entanglement, but also a series of unwanted terms that can lead to quantum gate infidelity. We demonstrate the power of our expressivity of the general Hamiltonian by singling out the effect of axial mode heating and confirm this experimentally. We discuss pathways forward in furthering the trapped-ion quantum computational quality, guiding hardware design decisions.

References in corpus (5)

• Experimental Comparison of Two Quantum Computing Architectures
• Manipulation and Detection of a Trapped Yb+ Ion Hyperfine Qubit
• Complete methods set for scalable ion trap quantum information processing
• Measuring anomalous heating in a planar ion trap with variable ion-surface separation
• Quantum Gates on Individually-Addressed Atomic Qubits Subject to Noisy Transverse Motion

Cited by in corpus (3)

• Cross-Platform Comparison of Arbitrary Quantum Computations
• Observability of fidelity decay at the Lyapunov rate in few-qubit quantum simulations
• Crosstalk Insensitive Trapped-Ion Entanglement through Coupling Matrix Engineering