Bulletin of the American Physical Society
55th Annual Meeting of the APS Division of Atomic, Molecular and Optical Physics
Monday–Friday, June 3–7, 2024; Fort Worth, Texas
Session R11: V: Computer Algorithms to Advance Quantum Technology
2:00 PM–3:12 PM,
Thursday, June 6, 2024
Room: Virtual Room 1
Chair: Debadarshini Mishra, University of Connecticut
Abstract: R11.00006 : Generation of entanglement via single-qubit rotation in torn Hilbert space
3:00 PM–3:12 PM
Presenter:
Zhihao Chi
(Tsinghua University)
Authors:
Zhihao Chi
(Tsinghua University)
Tao Zhang
(Tsinghua University)
The system is based on spin 1/2 qubits in resonators, such as atoms in optical cavities or superconducting qubits coupled to metallic microwave resonators. By sending light or microwaves into the resonator, it induces an AC Stark shift in the qubit's specific angular momentum eigenstate (Dick state). We can then generate barriers that impede transitions between adjacent Dick states,<br _istranslated="1" _mstmutation="1" /> And tear the original Hilbert space into pieces. Therefore, a simple global single-qubit rotation becomes very non-trivial, creating entanglement between many-body systems.
By optimally controlling the energy shift of the Dick state, we can generate any symmetric entangled state. We also illustrate that in just one or a few steps we can create a variety of useful states with near-uniform fidelity, including W states, spin-squeezed states (SSS), and Greenberger-Horne-Zeilinger (GHZ) states. In particular, SSS can only be created in one step with a compression parameter $\xi_R^2\sim1/N^{0.843}$ close to the Heisenberg limit (HL). Our findings establish a method for universal entanglement generation using only single-qubit actuation, where all multi-qubit control is integrated into a simple on/off microwave. It has direct applications in variational quantum optimizers available with existing technology.
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