论文标题
部分可观测时空混沌系统的无模型预测
Noisy Stabilizer Formalism
论文作者
论文摘要
尽管有指数级的开销来描述一般的多量量子状态和过程，但已经开发和利用了某些国家家庭和操作的有效方法。稳定器形式主义和Gottesman-Knill定理是由Clifford操作和Pauli测量来操纵的纯稳定器或图形状态的重要例子，并且这些状态在量子技术中的许多应用中都起着重要作用。在这里，我们开发了一种嘈杂的稳定器形式主义，即一种方法，一种方法不仅允许在克利福德操作和保利测量下有效地描述和遵循纯状态，还可以在此类稳定剂状态下作用于不相关的depHasing dephasing depHasing and Multi-Qubit Demalalial salive噪声。该方法在初始状态的量子数中线性缩放，但在目标状态的大小上呈指数缩放。因此，每当通过局部的Pauli测量方法操纵嘈杂的稳定剂状态，以便产生一个多部分的纠缠状态，就可以有效地描述所得状态。
Despite the exponential overhead to describe general multi-qubit quantum states and processes, efficient methods for certain state families and operations have been developed and utilised. The stabilizer formalism and the Gottesman-Knill theorem, where pure stabilizer or graph states are manipulated by Clifford operations and Pauli measurements, are prominent examples, and these states play a major role in many applications in quantum technologies. Here we develop a noisy stabilizer formalism, i.e., a method that allows one not only to efficiently describe and follow pure states under Clifford operations and Pauli measurements but also Pauli noise processes acting on such stabilizer states, including uncorrelated and correlated dephasing and single- or multi-qubit depolarizing noise. The method scales linearly in the number of qubits of the initial state, but exponentially in the size of the target state. Thus, whenever a noisy stabilizer state is manipulated by means of local Pauli measurements such that a multipartite entangled state of a few qubits is generated, one can efficiently describe the resulting state.
