Elementary laser‐less quantum logic operations with (anti‐)protons in penning traps

authored by
Diana Nitzschke, Marius Schulte, Malte Niemann, Juan M. Cornejo, Stefan Ulmer, Ralf Lehnert, Christian Ospelkaus, Klemens Hammerer

Static magnetic field gradients superimposed on the electromagnetic trapping potential of a Penning trap can be used to implement laser-less spin–motion couplings that allow the realization of elementary quantum logic operations in the radio-frequency regime. An important scenario of practical interest is the application to g-factor measurements with single (anti-)protons to test the fundamental charge, parity, time reversal (CPT) invariance as pursued in the Baryon Antibaryon Symmetry Experiment (BASE) collaboration. The classical and quantum behavior of a charged particle in a Penning trap with a superimposed magnetic field gradient is discussed. Using analytic and numerical calculations, it is found that it is possible to carry out a SWAP gate between the spin and the motional qubit of a single (anti-)proton with high fidelity, provided the particle has been initialized in the motional ground state. The implications of the findings for the realization of quantum logic spectroscopy in this system are discussed.

Institute of Theoretical Physics
Institute of Gravitation Physics
Institute of Quantum Optics
CRC 1227 Designed Quantum States of Matter (DQ-mat)
External Organisation(s)
Ulmer Fundamental Symmetries Laboratory
Indiana State University
National Metrology Institute of Germany (PTB)
Advanced Quantum Technologies
No. of pages
Publication date
Publication status
Peer reviewed
ASJC Scopus subject areas
Electronic, Optical and Magnetic Materials, Condensed Matter Physics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics, Electrical and Electronic Engineering, Mathematical Physics, Computational Theory and Mathematics
Electronic version(s)
https://arxiv.org/abs/1912.02046 (Access: Open)
https://doi.org/10.1002/qute.201900133 (Access: Open)