Full configuration interaction simulations of exchange-coupled donors in silicon using multi-valley effective mass theory

Donor spins in silicon have achieved record values of coherence times and single-qubit gate fidelities. The next stage of development involves demonstrating high-fidelity two-qubit logic gates, where the most natural coupling is the exchange interaction. To aid the efficient design of scalable donor...

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Bibliographic Details
Published in:New journal of physics 2021-07, Vol.23 (7), p.73007
Main Authors: Joecker, Benjamin, Baczewski, Andrew D, Gamble, John K, Pla, Jarryd J, Saraiva, André, Morello, Andrea
Format: Article
Language:English
Subjects:
Accuracy
Approximation
Configuration interaction
donors in silicon
effective mass theory
Electric fields
exchange interaction
Exchanging
Logic circuits
Phosphorus
Physics
Qubits (quantum computing)
Silicon
spin qubits
Valleys
Wave functions
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Summary:Donor spins in silicon have achieved record values of coherence times and single-qubit gate fidelities. The next stage of development involves demonstrating high-fidelity two-qubit logic gates, where the most natural coupling is the exchange interaction. To aid the efficient design of scalable donor-based quantum processors, we model the two-electron wave function using a full configuration interaction method within a multi-valley effective mass theory. We exploit the high computational efficiency of our code to investigate the exchange interaction, valley population, and electron densities for two phosphorus donors in a wide range of lattice positions, orientations, and as a function of applied electric fields. The outcomes are visualized with interactive images where donor positions can be swept while watching the valley and orbital components evolve accordingly. Our results provide a physically intuitive and quantitatively accurate understanding of the placement and tuning criteria necessary to achieve high-fidelity two-qubit gates with donors in silicon.
ISSN:1367-2630
1367-2630
DOI:10.1088/1367-2630/ac0abf