Distillability via protocols respecting the positivity of partial transpose

任意维度下单副本不可蒸馏的负部分转置态的双副本可蒸馏性

Two-copy distillability of one-copy-undistillable negative-partial-transpose states in every dimension

该研究针对纠缠理论中NPT态的有限副本可蒸馏性问题，以DiVincenzo等人的双参数族为对象，证明了其中特殊态在d≥3时双副本可蒸馏，否定了相关猜想，同时揭示了相邻区域的相反行为，留下部分待解决问题。

Distillability and partial transposition in bipartite systems

We study the distillability of a certain class of bipartite density operators which can be obtained via depolarization starting from an arbitrary one. Our results suggest that non-positivity of the partial transpose of a density operator is not a sufficient condition for distillability, when the dimension of both subsystems is higher than two.

Distillability and positivity of partial transposes in general quantum field systems

Criteria for distillability, and the property of having a positive partial transpose, are introduced for states of general bipartite quantum systems. The framework is sufficiently general to include systems with an infinite number of degrees of freedom, including quantum fields. We show that a large number of states in relativistic quantum field theory, including the vacuum state and thermal equilibrium states, are distillable over subsystems separated by arbitrary spacelike distances. These results apply to any quantum field model. It will also be shown that these results can be generalized t…

Reflections upon separability and distillability

We present an abstract formulation of the so-called Innsbruck-Hannover programme that investigates quantum correlations and entanglement in terms of convex sets. We present a unified description of optimal decompositions of quantum states and the optimization of witness operators that detect whether a given state belongs to a given convex set. We illustrate the abstract formulation with several examples, and discuss relations between optimal entanglement witnesses and n-copy non-distillable states with non-positive partial transpose.

从少量测量中学习量子比特-量子四态的部分转置签名

Learning partial transpose signatures in qubit ququart states from a few measurements

本研究提出利用机器学习方法，通过少量测量区分高维量子系统中可纯化与不可纯化双粒子态，利用PPT准则和可学习可观测量提升分类性能。

维纳态的双拷贝可蒸馏性的一种解决方案

A solution to 2-copy distillability of Werner states

研究维纳态双拷贝可蒸馏性问题，通过证明任意维度维纳态双拷贝可蒸馏当且仅当单拷贝可蒸馏，回答了长期问题，是确定非正定部分转置态是否可蒸馏的重要一步。