Synthetic high angular momentum spin dynamics in a microwave oscillator

• URL: http://arxiv.org/abs/2405.15695v2
• Date: Sun, 14 Jul 2024 21:13:14 GMT
• Title: Synthetic high angular momentum spin dynamics in a microwave oscillator
• Authors: Saswata Roy, Alen Senanian, Christopher S. Wang, Owen C. Wetherbee, Luojia Zhang, B. Cole, C. P. Larson, E. Yelton, Kartikeya Arora, Peter L. McMahon, B. L. T. Plourde, Baptiste Royer, Valla Fatemi,
• Abstract summary: We show how to modify a harmonic oscillator on-demand to implement a continuous range of generators associated to resonant driving of a harmonic qudit. For the first time, we use linear, harmonic operations to accomplish four logical gates on a harmonic qudit encoding. Our results show how motion on a closed Hilbert space can be useful for quantum information processing.
• Score: 1.32883757526406
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Spins and oscillators are foundational to much of physics and applied sciences. For quantum information, a spin 1/2 exemplifies the most basic unit, a qubit. High angular momentum spins and harmonic oscillators provide multi-level manifolds (e.g., qudits) which have the potential for hardware-efficient protected encodings of quantum information and simulation of many-body quantum systems. In this work, we demonstrate a new quantum control protocol that conceptually merges these disparate hardware platforms. Namely, we show how to modify a harmonic oscillator on-demand to implement a continuous range of generators associated to resonant driving of a harmonic qudit, and then specifically design a harmonic multi-level spin degree of freedom. The synthetic spin is verified by demonstration of spin coherent (SU(2)) rotations and comparison to other manifolds like simply-truncated oscillators. Our scheme allows universal control of the qudit, and, for the first time, we use linear, harmonic operations to accomplish four logical gates on a harmonic qudit encoding. Our results show how motion on a closed Hilbert space can be useful for quantum information processing and opens the door to superconducting circuit simulations of higher angular momentum quantum magnetism.

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