Avoiding Barren Plateaus with Entanglement

• URL: http://arxiv.org/abs/2406.03748v1
• Date: Thu, 6 Jun 2024 05:06:05 GMT
• Title: Avoiding Barren Plateaus with Entanglement
• Authors: Yuhan Yao, Yoshihiko Hasegawa,
• Abstract summary: We propose incorporating auxiliary control qubits to shift the circuit from a unitary $2$-design to a unitary $1$-design. We then remove these auxiliary qubits to return to the original circuit structure while preserving the unitary $1$-design properties.
• Score: 1.6574413179773757
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: In the search for quantum advantage with near-term quantum devices, navigating the optimization landscape is significantly hampered by the barren plateaus phenomenon. This study presents a strategy to overcome this obstacle without changing the quantum circuit architecture. We propose incorporating auxiliary control qubits to shift the circuit from a unitary $2$-design to a unitary $1$-design, mitigating the prevalence of barren plateaus. We then remove these auxiliary qubits to return to the original circuit structure while preserving the unitary $1$-design properties. Our experiment suggests that the proposed structure effectively mitigates the barren plateaus phenomenon. A significant experimental finding is that the gradient of $\theta_{1,1}$, the first parameter in the quantum circuit, displays a broader distribution as the number of qubits and layers increases. This suggests a higher probability of obtaining effective gradients. This stability is critical for the efficient training of quantum circuits, especially for larger and more complex systems. The results of this study represent a significant advance in the optimization of quantum circuits and offer a promising avenue for the scalable and practical implementation of quantum computing technologies. This approach opens up new opportunities in quantum learning and other applications that require robust quantum computing power.

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