SU(N)和U(N)的欧拉角参数化的一些应用
Some Applications for an Euler Angle Parameterization of SU(N) and U(N)
摘要:
在这里,我们应用我们的SU(N)和U(N)参数化的两个量子比特和量子比特/量子系统的纠缠的问题。特别地,将给出纠缠两个量子比特纯态的群操作,以及操作参数化的相应流形。我们也给出了这个流形的体积,以及所有纠缠的两个量子比特的纯态和混合态的集合的假设体积。这项工作的扩展到量子位/qutrit系统也将给出。
英文摘要:
Here we apply our SU(N) and U(N) parameterizations to the question of entanglement in the two qubit and qubit/qutrit system. In particular, the group operations which entangle a two qubit pure state will be given, as well as the corresponding manifold that the operations parameterize. We also give the volume of this manifold, as well as the hypothesized volume for the set of all entangled two qubit pure and mixed states. Extension of this work to the qubit/qutrit system will also be given.
机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。