Controlling long ion strings for quantum simulation and precision measurements
Florian Kranzl, Manoj K. Joshi, Christine Maier, Tiff Brydges,, Johannes Franke, Rainer Blatt, Christian F. Roos

TL;DR
This paper presents a setup for controlling long ion strings in quantum simulation, demonstrating entanglement in 50-ion strings and techniques for precise qubit measurement and environmental noise mitigation.
Contribution
It introduces experimental methods for high-fidelity control and measurement of long ion strings, enabling scalable quantum simulations beyond numerical simulation capabilities.
Findings
Demonstrated entanglement in 50-ion strings
Developed techniques for detecting magnetic-field variations
Measured and compensated laser beam wavefronts
Abstract
Scaling a trapped-ion based quantum simulator to a large number of ions creates a fully-controllable quantum system that becomes inaccessible to numerical methods. When highly anisotropic trapping potentials are used to confine the ions in the form of a long linear string, several challenges have to be overcome to achieve high-fidelity coherent control of a quantum system extending over hundreds of micrometers. In this paper, we describe a setup for carrying out many-ion quantum simulations including single-ion coherent control that we use for demonstrating entanglement in 50-ion strings. Furthermore, we present a set of experimental techniques probing ion-qubits by Ramsey and Carr-Purcell-Meiboom-Gill (CPMG) pulse sequences that enable detection (and compensation) of power-line-synchronous magnetic-field variations, measurement of path length fluctuations, and of the wavefronts of…
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