论文标题
TGX状态在Qubit-Qutrit系统中的纠缠普遍性
Entanglement Universality of TGX States in Qubit-Qutrit Systems
论文作者
论文摘要
我们证明，所有状态（混合或纯）的Qubit-Qutrit（$ 2 \ times 3 $）系统具有纠缠的统一（EPU）等效性，与真实征收X（TGX）的紧凑子集称为EPU-MINIMAL TGX状态，我们给出了我们明确的。因此，对于一般状态可实现的任何光谱 - 输入组合，存在相同光谱和纠缠的EPU最小TGX状态。我们使用i电流来测量纠缠并为其提供明确的公式，以所有$ 2 \ times 3 $ 3 $最小的TGX状态（比混合或纯净的epu-wimimal TGX状态），无论是混合还是纯度），从而产生其在所有分解中的最低平均值。我们还为一个称为最小的超级征收X（SGX）状态的更通用的家族提供了可计算的i频率公式，并为最小的SGX状态及其所有子集提供了最佳分解。
We prove that all states (mixed or pure) of qubit-qutrit ($2\times 3$) systems have entanglement-preserving unitary (EPU) equivalence to a compact subset of true-generalized X (TGX) states called EPU-minimal TGX states which we give explicitly. Thus, for any spectrum-entanglement combination achievable by general states, there exists an EPU-minimal TGX state of the same spectrum and entanglement. We use I-concurrence to measure entanglement and give an explicit formula for it for all $2\times 3$ minimal TGX states (a more general set than EPU-minimal TGX states) whether mixed or pure, yielding its minimum average value over all decompositions. We also give a computable I-concurrence formula for a more general family called minimal super-generalized X (SGX) states, and give optimal decompositions for minimal SGX states and all of their subsets.
