论文标题
量子状态层析成像与时间域中生成的信息完整的POVM
Quantum state tomography with informationally complete POVMs generated in the time domain
论文作者
论文摘要
本文为量子状态断层扫描中的动态生成信息完整的POVM建立了一个框架。假设量子系统的演变是由Kraus表示中的动态图给出的,则可以切换到Heisenberg图片并定义时间域中的测量值。因此,从不完整的正运算符开始,可以通过多个测量获得足够的量子状态重建信息。该框架已在Qubits和Qutrits上证明。对于某些类型的动态图,最初拥有一个测量操作员就足够了。结果表明,即使测量潜力有限,量子状态断层扫描也是可行的。
The article establishes a framework for dynamic generation of informationally complete POVMs in quantum state tomography. Assuming that the evolution of a quantum system is given by a dynamical map in the Kraus representation, one can switch to the Heisenberg picture and define the measurements in the time domain. Consequently, starting with an incomplete set of positive operators, one can obtain sufficient information for quantum state reconstruction by multiple measurements. The framework has been demonstrated on qubits and qutrits. For some types of dynamical maps, it suffices to initially have one measurement operator. The results demonstrate that quantum state tomography is feasible even with limited measurement potential.