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Fast nuclear-spin gates and electrons-nuclei entanglement of neutral atoms in weak magnetic fields
- Source :
- Frontiers of Physics 19, 22203 (2024)
- Publication Year :
- 2022
-
Abstract
- We present fast Rydberg-mediated entanglement involving nuclear spins of divalent atoms with $^{171}$Yb as an example. First, we show a nuclear-spin controlled phase gate of an arbitrary phase realizable either with two laser pulses when assisted by Stark shifts, or with three pulses. Second, we propose to create a state $(\lvert\text{cc}\rangle_{\text{e}} \otimes \lvert\Phi\rangle_{\text{n}} + \lvert\Phi\rangle_{\text{e}} \otimes \lvert\Psi\rangle_{\text{n}} )/\sqrt{2}$ entangled between the electrons~(e) and nuclear spins~(n) of two atoms, where $\lvert\Phi\rangle$ and $\lvert\Psi\rangle$ are two orthogonal Bell states and $\lvert \text{c}\rangle_{\text{e}}$ denotes the clock state. For want of a better term, it is called a Super Bell State for it mimics a ``large'' Bell state incorporating three ``smaller'' Bell states. Third, we show a protocol to create a three-atom state $(\sqrt{3}\lvert\text{ccc}\rangle_{\text{e}} \otimes \lvert\Lambda\rangle_{\text{n}} + \lvert \text{W}\rangle_{\text{e}} \otimes \lvert \text{GHZ}\rangle_{\text{n}} )/2$, where $\lvert\Lambda\rangle_{\text{n}}$ is a nuclear-spin state, $\lvert \text{W}\rangle_{\text{e}}$ is a W state in the ground-clock state space, and $\lvert \text{GHZ}\rangle_{\text{n}}$ is the Greenberger-Horne-Zeilinger~(GHZ) state in the nuclear-spin state space. The four protocols possess high intrinsic fidelities, do not require single-site Rydberg addressing, and can be executed with large $\Omega_{\text{m}}$ in a weak, Gauss-scale magnetic field for they involve Rydberg excitation of both nuclear-spin qubit states in each atom. The latter two protocols can enable measurement-based preparation of Bell, hyperentangled, and GHZ states.<br />Comment: 19 pages, 11 figures
- Subjects :
- Quantum Physics
Physics - Applied Physics
Physics - Atomic Physics
Physics - Optics
Subjects
Details
- Database :
- arXiv
- Journal :
- Frontiers of Physics 19, 22203 (2024)
- Publication Type :
- Report
- Accession number :
- edsarx.2212.05876
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1007/s11467-023-1332-0