Related papers: Entanglement generation via single-qubit rotations in a torn Hilbert space

Entanglement generation via single-qubit rotations in a torn Hilbert space

URL: http://arxiv.org/abs/2312.04507v2
Date: Tue, 3 Sep 2024 01:16:57 GMT
Title: Entanglement generation via single-qubit rotations in a torn Hilbert space
Authors: Tao Zhang, Zhihao Chi, Jiazhong Hu,
Abstract summary: We generate arbitrary symmetric entangled states with only global singlequbit rotations in a torn Hilbert space. By optimal control of energy shifts on Dicke states, we are able to generate arbitrary symmetric entangled states. We also exemplify that we can create varieties of useful states with near-unity fidelities in only one or very few steps.
Score: 1.8896058623057563
License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Abstract: We propose an efficient yet simple protocol to generate arbitrary symmetric entangled states with only global single-qubit rotations in a torn Hilbert space. The system is based on spin-1/2 qubits in a resonator such as atoms in an optical cavity or superconducting qubits coupled to a main bus. By sending light or microwave into the resonator, it induces AC Stark shifts on particular angular-momentum eigenstates (Dicke states) of qubits. Then we are able to generate barriers that hinder transitions between adjacent Dicke states and tear the original Hilbert space into pieces. Therefore, a simple global single-qubit rotation becomes highly non-trivial, and thus generates entanglement among the many-body system. By optimal control of energy shifts on Dicke states, we are able to generate arbitrary symmetric entangled states. We also exemplify that we can create varieties of useful states with near-unity fidelities in only one or very few steps, including W states, spin-squeezed states (SSS), and Greenberger-Horne-Zeilinger (GHZ) states. Particularly, the SSS can be created by only one step with a squeezing parameter $\xi_R^2\sim1/N^{0.843}$ approaching the Heisenberg limit (HL). Our finding establishes a way for universal entanglement generations with only single-qubit drivings where all the multiple-qubit controls are integrated into simply switching on/off microwave. It has direct applications in the variational quantum optimizer which is available with existing technology.

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