Programmable N-Body Interactions with Trapped Ions

Autor: Or Katz, Marko Cetina, Christopher Monroe
Jazyk: angličtina
Rok vydání: 2023
Předmět:
Zdroj: PRX Quantum, Vol 4, Iss 3, p 030311 (2023)
Druh dokumentu: article
ISSN: 2691-3399
DOI: 10.1103/PRXQuantum.4.030311
Popis: Trapped atomic ion qubits or effective spins are a powerful quantum platform for quantum computation and simulation, featuring densely connected and efficiently programmable interactions between the spins. While native interactions between trapped-ion spins are typically pairwise, many quantum algorithms and quantum spin models naturally feature couplings between triplets, quartets, or higher orders of spins. Here, we formulate and analyze a mechanism that extends the standard Mølmer-Sørensen pairwise entangling gate and generates a controllable and programmable coupling between N spins of trapped ions. We show that spin-dependent optical parametric drives applied at twice the motional frequency generate a coordinate transformation of the collective ion motion in phase space, rendering displacement forces that are nonlinear in the spin operators. We formulate a simple framework that enables a systematic and faithful construction of high-order spin Hamiltonians and gates, including the effect of multiple modes of motion, and characterize the performance of such operations under realistic conditions.
Databáze: Directory of Open Access Journals