论文标题
一身纠缠作为费米金系统中的量子资源
One-body entanglement as a quantum resource in fermionic systems
论文作者
论文摘要
我们表明，一身纠缠是纯粹的费米态偏离Slater决定因素（SD）的衡量标准，并由单颗粒密度矩阵（SPDM）的混合性确定，可以视为量子资源。相关的理论具有SD及其凸面作为自由状态，以及保存费米昂线性光学操作（FLO）的数字，其中包括单体统一转换和单粒子模式占用率的测量值，作为基本的免费操作。我们首先根据纯$ n $ ferimion状态的类似施密特的分解提供了单身纠缠的两型式配方，从中可以得出SPDM [与$（N-1）$ - 体密度矩阵]。然后证明，在FLO操作下，初始和计量后SPDM始终满足主要化关系，从而确保这些操作平均不能增加一体的纠缠。最终表明，该资源与费米子量子计算模型一致，该模型需要超出反对称化的相关性。还讨论了更一般的免费测量以及与模式纠缠的关系。
We show that one-body entanglement, which is a measure of the deviation of a pure fermionic state from a Slater determinant (SD) and is determined by the mixedness of the single-particle density matrix (SPDM), can be considered as a quantum resource. The associated theory has SDs and their convex hull as free states, and number conserving fermion linear optics operations (FLO), which include one-body unitary transformations and measurements of the occupancy of single-particle modes, as the basic free operations. We first provide a bipartitelike formulation of one-body entanglement, based on a Schmidt-like decomposition of a pure $N$-fermion state, from which the SPDM [together with the $(N-1)$-body density matrix] can be derived. It is then proved that under FLO operations, the initial and postmeasurement SPDMs always satisfy a majorization relation, which ensures that these operations cannot increase, on average, the one-body entanglement. It is finally shown that this resource is consistent with a model of fermionic quantum computation which requires correlations beyond antisymmetrization. More general free measurements and the relation with mode entanglement are also discussed.
