Protocols to measure the non-Abelian Berry phase by pumping a spin qubit through a quantum-dot loop

• URL: http://arxiv.org/abs/2308.05455v1
• Date: Thu, 10 Aug 2023 09:26:25 GMT
• Title: Protocols to measure the non-Abelian Berry phase by pumping a spin qubit through a quantum-dot loop
• Authors: Baksa Kolok and Andr\'as P\'alyi
• Abstract summary: We analyze protocols to measure the non-Abelian Berry phase by pumping a spin qubit through a loop of quantum dots. These experiments would be important to assess the potential of holonomic quantum gates for spin-based quantum information processing.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: A quantum system constrained to a degenerate energy eigenspace can undergo a nontrival time evolution upon adiabatic driving, described by a non-Abelian Berry phase. This type of dynamics may provide logical gates in quantum computing that are robust against timing errors. A strong candidate to realize such holonomic quantum gates is an electron or hole spin qubit trapped in a spin-orbit-coupled semiconductor, whose twofold Kramers degeneracy is protected by time-reversal symmetry. Here, we propose and quantitatively analyze protocols to measure the non-Abelian Berry phase by pumping a spin qubit through a loop of quantum dots. One of these protocols allows to characterize the local internal Zeeman field directions in the dots of the loop. We expect a near-term realisation of these protocols, as all key elements have been already demonstrated in spin-qubit experiments. These experiments would be important to assess the potential of holonomic quantum gates for spin-based quantum information processing.

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