论文标题

通过成对局部相互作用的连续量子误差检测和抑制

Continuous quantum error detection and suppression with pairwise local interactions

论文作者

Chen, Yi-Hsiang, Brun, Todd A.

论文摘要

对高重量操作员进行测量一直是量子计算中的一个实际问题,尤其是对于稳定器形式上的量子代码。测量高重量操作员的常规程序需要多个成对的单一操作,这可能会很慢并且容易出错。我们提供了一种替代方法,可以仅使用两个局部相互作用和单Qubit连续测量来被动检测高重量操作员的值。这种方法涉及系统之间的联合相互作用和不断监控的辅助量子位。监视器量子位的测量结果揭示了有关操作员价值的信息。可以通过使用数值估计器或评估信号的时间平均值来检索此信息。基于摄动理论的技术,可以仅使用两个局部运算符有效地建立哈密顿量的相互作用。我们将这种间接检测方案应用于四Q型培根密码,在该密码中,使用四个辅助量子位对两个稳定器进行间接监测。由于四Q型培根码代码是错误检测的代码,并且量子ZENO效应可以抑制错误,因此我们还研究了间接测量过程中的误差抑制。在此示例中,我们表明可以抑制各种类型的非马克维亚错误。

Performing measurements for high-weight operators has been a practical problem in quantum computation, especially for quantum codes in the stabilizer formalism. The conventional procedure of measuring a high-weight operator requires multiple pairwise unitary operations, which can be slow and prone to errors. We provide an alternative method to passively detect the value of a high-weight operator using only two-local interactions and single-qubit continuous measurements. This approach involves joint interactions between the system and continuously-monitored ancillary qubits. The measurement outcomes from the monitor qubits reveal information about the value of the operator. This information can be retrieved by using a numerical estimator or by evaluating the time average of the signals. The interaction Hamiltonian can be effectively built using only two-local operators, based on techniques from perturbation theory. We apply this indirect detection scheme to the four-qubit Bacon-Shor code, where the two stabilizers are indirectly monitored using four ancillary qubits. Due to the fact that the four-qubit Bacon-Shor code is an error-detecting code and that the Quantum Zeno Effect can suppress errors, we also study the error suppression under the indirect measurement process. In this example, we show that various types of non-Markovian errors can be suppressed.

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