Universal quantum computing using electro-nuclear wavefunctions of rare-earth ions
Manuel Grimm (1, 2), Adrian Beckert (2, 3), Gabriel Aeppli (2, and 3, 4), Markus M\"uller (1) ((1) Condensed Matter Theory Group, Paul, Scherrer Institut, (2) ETH Z\"urich, (3) Photon Science Division, Paul, Scherrer Institut, (4) EPF Lausanne)

TL;DR
This paper proposes a universal quantum computing scheme using the electro-nuclear wavefunctions of rare-earth ions, enabling fast and efficient quantum gate operations through optical activation and dipole interactions.
Contribution
It introduces a novel approach utilizing Kramers rare-earth ions' nuclear spins as passive qubits, with optical activation for fast quantum gate implementation, improving upon existing methods.
Findings
Proposes a scheme for universal quantum computing with rare-earth ions.
Demonstrates faster CNOT gate times compared to previous rare-earth implementations.
Highlights advantages over phosphorus donor atom-based quantum computing in silicon.
Abstract
We propose a scheme for universal quantum computing based on Kramers rare-earth ions. Their nuclear spins in the presence of a Zeeman-split electronic crystal field ground state act as 'passive' qubits which store quantum information. The qubits can be activated optically by fast coherent transitions to excited crystal field states with a magnetic moment. The dipole interaction between these states is used to implement CNOT gates. We compare our proposal with a similar one based on phosphorus donor atoms in silicon and discuss the significantly improved CNOT gate time as compared to rare-earth implementations via the slower dipole blockade.
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