Quantum Tasks with Non-maximally Quantum Channels via Positive Operator-Valued Measurement
By using a proper positive operator-valued measure (POVM), we present two new schemes for probabilistic transmission with non-maximally four-particle cluster states. In the first scheme, we demonstrate that two non-maximally four-particle cluster states can be used to realize probabilistically sharing an unknown three-particle GHZ-type state within either distant agent’s place. In the second protocol, we demonstrate that a non-maximally four-particle cluster state can be used to teleport an arbitrary unknown multi-particle state in a probabilistic manner with appropriate unitary operations and POVM. Moreover the total success probability of these two schemes are also worked out.
KeywordsQuantum task Non-maximally cluster state Positive operator-valued measurement Bell-basis measurement
This work is supported by the National Natural Science Foundation of China (No. 61003287) and the Fundamental Research Funds for the Central Universities (No. SWJT U11BR174).