Dong Yang — Page 14

arXiv2001

Optimal Conclusive Discrimination of Two Non-orthogonal Pure Product Multipartite States Locally

We consider one copy of a quantum system prepared in one of two non-orthogonal pure product states of multipartite distributed among separated parties. We show that there exist protocols which obtain optimal probability in the sense of conclusive discrimination by means of local operations and classical communications(LOCC) as good as by global operations. Also, we show a protocol which minimezes the average number of local operations. Our result implies that two product pure multipartite states might not have the non-local property though more than two can have.

quant-ph↗

arXiv2000

Transmitting One Qubit Can Increase One Ebit Between Two Parties at Most

Entanglement shared between two seperated parties could not be increased without transmitting quantum system. We suggest the project to gain entanglement shared between Alice and Bob by transmitting quantum system and a nem scheme to achieve efficient rate of entanglement. It is proven that under any local operations and communicating classically, to transmit one qubit through an ideal or a noisy quantum channel can increase no more than one ebit between two parties. Furthermore, the prior nonmaximally transmitted entanglement could not be improved by subsequently transmitted qubit. Although our proof is given in the measure of formation of entanglement, we believe that the above conclusion is also hold independently of the measure of entanglement.

quant-ph↗