Cavity resonators are promising resources for quantum technology, while native nonlinear interactions for cavities are typically too weak to provide the level of quantum control required to deliver complex targeted operations. Here we investigate a scheme to engineer a target Hamiltonian for photonic cavities using ancilla qubits. By off resonantly driving dispersively coupled ancilla qubits, we develop an optimized approach to engineering an arbitrary photon-number-dependent Hamiltonian for the cavities while minimizing the operation errors. The engineered Hamiltonian admits various applications including canceling unwanted cavity self-Kerr interactions, creating higher-order nonlinearities for quantum simulations, and designing quantum gates resilient to noise. Our scheme can be implemented with coupled microwave cavities and transmon qubits in superconducting circuit systems.

中文翻译：

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光子数依赖腔的哈密顿工程

腔谐振器是用于量子技术的有前途的资源，而腔的固有非线性交互作用通常太弱，无法提供实现复杂目标操作所需的量子控制水平。在这里，我们研究了使用ancilla量子位为光子腔设计目标哈密顿量的方案。通过关闭共振驱动色散耦合的辅助量子比特，我们开发了一种优化的方法，可为腔设计任意依赖于光子数的哈密顿量，同时最大程度地减少操作误差。汉密尔顿工程学承认各种应用，包括消除不想要的腔自Kerr相互作用，为量子模拟创建高阶非线性以及设计对噪声有弹性的量子门。