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Fast and Accurate Greenberger-Horne-Zeilinger Encoding Using All-to-All Interactions
1University of Colorado, Boulder, Department of Physics and Center for Theory of Quantum Matter, Colorado 80309, USA.
Physical Review Letters
|April 18, 2025
Summary
We developed a fast protocol for creating N-qubit Greenberger-Horne-Zeilinger (GHZ) states, crucial for quantum technologies. This method achieves high accuracy and fidelity, significantly outperforming naive approaches for large-scale quantum systems.
Area of Science:
- Quantum Information Science
- Quantum Computing
- Quantum Technologies
Background:
- N-qubit Greenberger-Horne-Zeilinger (GHZ) states are fundamental resources in quantum information science.
- GHZ states are essential for quantum computing, quantum error correction, and quantum communication.
Purpose of the Study:
- To develop a fast and accurate protocol for GHZ encoding.
- To achieve high-fidelity GHZ state preparation for large system sizes.
Main Methods:
- Utilizing all-to-all interactions for GHZ encoding.
- Implementing a novel protocol based on spin-squeezing dynamics and using data qubits as controls.
- Employing time-independent Hamiltonian evolution in a few stages.
Main Results:
- Achieved GHZ encoding with evolution time scaling as O(log^2 N/N), approaching the theoretical limit.
- Obtained high fidelity (>1-10^-3) for large system sizes (N≲2000).
- Demonstrated a protocol significantly faster than naive O(1)-time cnot gate parallelization.
Conclusions:
- The proposed protocol offers a significant speedup for GHZ state preparation.
- This method is highly accurate and scalable for practical quantum technologies.
- The technique leverages efficient quantum dynamics for robust state generation.
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