用于指示两个Dirac旋量所有纠缠态的九个Lorentz协变双张量
Nine Lorentz covariant bitensors for two Dirac spinors to indicate all entangled states
AI总结：
本文构造了九个局域Lorentz协变双张量，用于完整指示两个类空分离Dirac粒子之间的任意旋量纠缠，并证明其同时为零当且仅当系统处于乘积态。
摘要：
考虑两个类空分离的Dirac粒子的旋量自由度，并构造了一组九个局域Lorentz协变双张量。其中四个双张量此前已在[Phys. Rev. A 105, 032402 (2022), arXiv:2103.07784]中描述。该双张量集合具有如下性质：当且仅当两个粒子的状态为乘积态时，所有九个双张量同时为零。因此，这组双张量能够指示两个类空分离的Dirac粒子之间任意类型的旋量纠缠。
英文摘要：
The spinorial degrees of freedom of two spacelike separated Dirac particles are considered and a collection of nine locally Lorentz covariant bitensors is constructed. Four of these bitensors have been previously described in [Phys. Rev. A 105, 032402 (2022), arXiv:2103.07784]. The collection of bitensors has the property that all nine bitensors are simultaneously zero if and only if the state of the two particles is a product state. Thus this collection of bitensors indicates any type of spinor entanglement between two spacelike separated Dirac particles.
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。
