Debugging Quantum Processes Using Monitoring Measurements
Debugging Quantum Processes Using Monitoring Measurements
复制标题
使用监控测量来调试量子过程
DOI：
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发表时间：
2014
期刊：
影响因子：
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通讯作者：
M. Ying
中科院分区：
文献类型：
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作者：
Yangjia Li;M. Ying
由于对量子系统的观察可能导致系统状态崩溃，因此通常很难找到一种方法来监控量子过程，这是一个不断演化的量子系统。我们提出了一个协议，可以通过监控来调试量子过程，但不会干扰系统的演化。该协议包括一个错误检测器和一个调试策略。检测器是一个投影算子，它在一系列时间点上与预期的系统状态正交，该策略用于指定这些时间点。作为一个例子，我们展示了如何调试量子搜索的计算过程中使用该协议。利用代数数论中的Skolem-Mahler-Lech定理，我们找到了一个构造所有与时间无关的量子过程的调试协议的算法。
Since observation on a quantum system may cause the system state collapse, it is usually hard to find a way to monitor a quantum process, which is a quantum system that continuously evolves. We propose a protocol that can debug a quantum process by monitoring, but not disturb the evolution of the system. This protocol consists of an error detector and a debugging strategy. The detector is a projection operator that is orthogonal to the anticipated system state at a sequence of time points, and the strategy is used to specify these time points. As an example, we show how to debug the computational process of quantum search using this protocol. By applying the Skolem--Mahler--Lech theorem in algebraic number theory, we find an algorithm to construct all of the debugging protocols for quantum processes of time independent Hamiltonians.