论文标题
带有古典可模拟操作员争夺的量子电路
Quantum circuits with classically simulable operator scrambling
论文作者
论文摘要
我们介绍了一个新的量子电路家族，为非本地运营商的子空间的争夺是经典的模拟。我们称这些电路为“超级克利福德电路”，因为这些操作员的海森伯格时间演变对应于操作员空间中的克利福德演变。通过模拟操作员空间中的Clifford演变，我们能够通过操作员的纠缠与量子数量线性生长，将某些单个Pauli字符串的时间演变成算子。这些电路提供了一种新技术，用于研究大量Qubits的系统中的争夺，并且是对直觉的明确反词，即经典的模拟性意味着没有争夺。
We introduce a new family of quantum circuits for which the scrambling of a subspace of non-local operators is classically simulable. We call these circuits `super-Clifford circuits', since the Heisenberg time evolution of these operators corresponds to a Clifford evolution in operator space. By simulating the Clifford evolution in operator space we are able to simulate the time evolution of certain single Pauli strings into operators with an operator entanglement that grows linearly with the number of qubits. These circuits provide a new technique for studying scrambling in systems with a large number of qubits, and are an explicit counter example to the intuition that classical simulability implies the absence of scrambling.
