Variational Quantum Circuit Decoupling

• URL: http://arxiv.org/abs/2406.05619v1
• Date: Sun, 9 Jun 2024 03:01:50 GMT
• Title: Variational Quantum Circuit Decoupling
• Authors: Ximing Wang, Chengran Yang, Mile Gu,
• Abstract summary: Decoupling systems into independently evolving components has a long history of simplifying seemingly complex systems. We apply this approach to quantum circuit synthesis - the task of discovering quantum circuit implementations of target unitary dynamics.
• Score: 1.0445957451908694
• License: http://creativecommons.org/licenses/by-sa/4.0/
• Abstract: Decoupling systems into independently evolving components has a long history of simplifying seemingly complex systems. They enable a better understanding of the underlying dynamics and causal structures while providing more efficient means to simulate such processes on a computer. Here we outline a variational decoupling algorithm for decoupling unitary quantum dynamics -- allowing us to decompose a given $n$-qubit unitary gate into multiple independently evolving sub-components. We apply this approach to quantum circuit synthesis - the task of discovering quantum circuit implementations of target unitary dynamics. Our numerical studies illustrate significant benefits, showing that variational decoupling enables us to synthesize general $2$ and $4$-qubit gates to fidelity that conventional variational circuits cannot reach.

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