Elementary laser-less quantum logic operations with (anti-)protons in Penning traps

Abstract

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 BASE collaboration [Smorra et al., Eur. Phys. J. Spec. Top. 224, 3055-3108 (2015), Smorra et al., Nature 550, 371-374 (2017), Schneider et al., Science 358, 1081-1084 (2017)]. We discuss the classical and quantum behavior of a charged particle in a Penning trap with a superimposed magnetic field gradient. Using analytic and numerical calculations, we find 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. We discuss the implications of our findings for the realization of quantum logic spectroscopy in this system.

arXiv comment10 pages, 4 figures, 1 table; published version

References in corpus (6)

• Ion-trap quantum logic using long-wavelength radiation
• Observation of the 1S0 - 3P0 clock transition in 27Al+
• Trapped-ion quantum logic gates based on oscillating magnetic fields
• Observation of Spin Flips with a Single Trapped Proton
• BASE - The Baryon Antibaryon Symmetry Experiment
• Resolved-sideband laser cooling in a Penning trap

Cited by in corpus (2)

• Quantum logic inspired techniques for spacetime-symmetry tests with (anti-)protons
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