True decoherence-free-subspace derived from a semiconductor double quantum dot Heisenberg spin-trimer
- URL: http://arxiv.org/abs/2409.19683v1
- Date: Sun, 29 Sep 2024 12:13:42 GMT
- Title: True decoherence-free-subspace derived from a semiconductor double quantum dot Heisenberg spin-trimer
- Authors: Wonjin Jang, Jehyun Kim, Jaemin Park, Min-Kyun Cho, Hyeongyu Jang, Sangwoo Sim, Hwanchul Jung, Vladimir Umansky, Dohun Kim,
- Abstract summary: A spin qubit encoded in a decoherence-free-subspace (DFS) can be protected from certain degrees of environmental noise.
We derive the "true" DFS from an antiferromagnetic Heisenberg spin-1/2 trimer.
Our findings pave the way toward compact DFS structures for exchange-coupled quantum dot spin chains.
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- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: Spins in solid systems can inherently serve as qubits for quantum simulation or quantum information processing. Spin qubits are usually prone to environmental magnetic field fluctuations; however, a spin qubit encoded in a decoherence-free-subspace (DFS) can be protected from certain degrees of environmental noise depending on the specific structure of the DFS. Here, we derive the "true" DFS from an antiferromagnetic Heisenberg spin-1/2 trimer, which protects the qubit states against both short- and long-wavelength magnetic field fluctuations. We define the spin trimer with three electrons confined in a gate-defined GaAs double quantum dot (DQD) where we exploit Wigner-molecularization in one of the quantum dots. We first utilize the trimer for dynamic nuclear polarization (DNP), which generates a sizable magnetic field difference, $\Delta B_\mathrm{z}$, within the DQD. We show that large $\Delta B_\mathrm{z}$ significantly alters the eigenspectrum of the trimer and results in the "true" DFS in the DQD. Real-time Bayesian estimation of the DFS energy gap explicitly demonstrates protection of the DFS against short-wavelength magnetic field fluctuations in addition to long-wavelength ones. Our findings pave the way toward compact DFS structures for exchange-coupled quantum dot spin chains, the internal structure of which can be coherently controlled completely decoupled from environmental magnetic fields.
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