Quantum Gate Compilation Using Parametric XY Gates

The patent applies parameter changes by introducing a continuous parameter θ to control the entangling strength of the XY gate. By adjusting θ, the gate can operate in different regimes (from weak to strong entanglement), allowing optimization of circuit depth and fidelity for specific computational tasks. The gate implementation uses a time-dependent flux pulse with area θ, enabling precise control over the interaction strength between qubits without requiring additional hardware complexity.

The patent applies segmentation by decomposing arbitrary two-qubit unitary operations into sequences of XY gates with different θ parameters. This segmentation allows complex operations to be broken down into manageable gate sequences that can be efficiently implemented on devices with restricted connectivity, reducing the need for SWAP operations and minimizing circuit depth while maintaining high fidelity.

The patent applies universality by demonstrating that the XY gate with variable θ parameter can universalize the gate set functionality. A single XY gate implementation with adjustable entangling strength can replace multiple specialized gate types, providing a unified approach to two-qubit operations. This multi-functionality reduces calibration complexity because only one gate mechanism needs to be characterized and controlled, rather than multiple distinct gate types.