Local copying and local discrimination as a study for non-locality of a set

Local copying of orthogonal maximally entangled states and its relationship to local discrimination

In the quantum system, perfect copying is impossible without prior knowledge. But, perfect copying is possible, if it is known that unknown states to be copied is contained by the set of orthogonal states, which is called the copied set. However, if our operation is limited to local operations and classical communications, this problem is not trivial. Recently, F. Anselmi, A. Chefles and M.B. Plenio constructed theory of local copying when the copied set consists of maximally entangled states. They also classified the copied set when it consists of two orthogonal states (New. J. Phys. 6, 164 (…

State discrimination with error margin and its locality

There are two common settings in a quantum-state discrimination problem. One is minimum-error discrimination where a wrong guess (error) is allowed and the discrimination success probability is maximized. The other is unambiguous discrimination where errors are not allowed but the inconclusive result "I don't know" is possible. We investigate discrimination problem with a finite margin imposed on the error probability. The two common settings correspond to the error margins 1 and 0. For arbitrary error margin, we determine the optimal discrimination probability for two pure states with equal o…

On distinguishing of non-signaling boxes via completely locality preserving operations

We consider discriminating between bipartite boxes with 2 binary inputs and 2 binary outputs (2x2) using the class of completely locality preserving operations i.e. those, which transform boxes with local hidden variable model (LHVM) into boxes with LHVM, and have this property even when tensored with identity operation. Following approach developed in entanglement theory we derive linear program which gives an upper bound on the probability of success of discrimination between different isotropic boxes. In particular we provide an upper bound on the probability of success of discrimination be…

探索强局域性：量子态区分体系及其他

Exploring strong locality : Quantum state discrimination regime and beyond

本文在量子态区分框架下提出两类(2m+1)⊗2⊗(2m+1)系统内的局域可区分集合，分析其局域性差异及相互作用，还探索数据隐藏应用并引入“强局域”集合概念与可激活集合比较。

多拷贝设定下局部性约束的量子态判别

Discrimination of quantum states under locality constraints in the many-copy setting

研究多拷贝场景下受限局部测量的正交量子态假设检验，证明了LOCC操作下错误概率的指数衰减，给出了LOCC与PPT操作等效的充分条件，并揭示了SEP与PPT操作间的无限渐近分离。

局部性约束下区分量子态的纠缠代价

Entanglement cost of discriminating quantum states under locality constraints

本文研究局部约束下区分量子态的纠缠代价，引入谱PPT距离量化测量局域性并给出下界，同时建立上界，证明单个Bell态可辅助纯态最优区分任意其他态。