AI 中文总结
研究利用非局域耗散工程稳定多模薛定谔猫态实现通用量子计算，通过克尔非线性振荡器链及低维描述实现单比特控制，耦合稳定阵列实现纠缠操作，经数值模拟验证，确立其为通用玻色子量子计算潜在架构。
AI 中文摘要
薛定谔猫态通过在谐振子的受保护流形中编码逻辑信息，为玻色子量子纠错提供了一种硬件高效平台。此前工作已证明多模薛定谔猫态的耗散稳定可作为强大的量子存储器，但通用量子计算框架仍未实现。本文通过引入用于耗散稳定多模猫量子比特的通用门集来扩展此方法。利用通过工程非局域耗散耦合的克尔非线性振荡器链及有效的低维描述，展示了如何通过绕X轴的任意旋转和绕Z轴的π/2旋转实现任意单比特控制。还展示了通过在每个阵列上仅用一个振荡器耦合两个这样的稳定阵列，通过实现XX(π/2)门实现相干纠缠操作。数值模拟证明了在实际参数下的高保真门动力学和纠缠生成。最后分析了诱导和固有光子损失、无序以及有效低维理论的有效性范围的影响。结果确立了耗散稳定的多模薛定谔猫态作为通用玻色子量子计算的潜在架构。
英文摘要
Schrödinger cat states provide a hardware-efficient platform for bosonic quantum error correction by encoding logical information in protected manifolds of harmonic oscillators. While previous work has demonstrated the dissipative stabilization of multi-mode Schrödinger cat states as robust quantum memories, a framework for universal quantum computation has remained unavailable. Here we extend this approach by introducing a universal gate set for dissipatively stabilized multi-mode cat qubits. Using a chain of Kerr non-linear oscillators coupled through engineered non-local dissipation and an effective low-dimensional description, we show how arbitrary single-qubit control can be achieved through arbitrary rotation around the $X$-axis and $π/2$-rotation around the $Z$-axis. We further show how coupling two such stabilized arrays through just one oscillator on each respective array enables coherent entangling operations through implementation of the $XX(π/2)$ gate. Numerical simulations demonstrate high-fidelity gate dynamics and entanglement generation under realistic parameters. Finally, we analyze the effects of induced and intrinsic photon loss, disorder, and the validity regime of the effective low-dimensional theory. Our results establish dissipatively stabilized multi-mode Schrödinger cat states as a potential architecture for universal bosonic quantum computation.
Comments10 pages, 5 figures
