D-dimensional chain teleportation method for random transmission based on measurement results of relay nodes

A d-dimensional chain teleportation method for random transmission based on measurement results of relay nodes, wherein two communicating parties are an information sender Alice and an information receiver Bob, a particle t carries an unknown quantum state and is held by the information sender Alice, Alice holds the particle t and a particle A1, a first intermediate node Charlie 1 holds a particle B1 and a particle A2, a second intermediate node Charlie 2 holds a particle B2 and a particle A3, . . . , and a kth(k=1, 2, 3, . . . , P) intermediate node Charlie k holds a particle Bk and a particle Ak+1, wherein P is a positive integer, the information receiver Bob at a target node is a (P+2)th node in a multihop quantum teleportation system and holds a particle BP+1, every two adjacent nodes share a two-bit Bell state quantum channel, to form a chain communication channel, and entangled channels have the same form and are:

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• P intermediate nodes make generalized Bell measurement on the two particles held by them respectively, to establish an entangled channel between the information sender Alice and the information receiver Bob;
• the P intermediate nodes respectively consider the connection condition of classical channels with the information sender Alice and the information receiver Bob, and transmit respective generalized Bell measurement results to Alice or Bob according to actual condition, Alice or Bob determines a matrix transformation operation to be performed according to the respective measurement results they receive and adjusts the entangled channel, so that at this time, a direct entangled channel between the information sender Alice and the information receiver Bob can be established;
• and
• the multihop quantum teleportation system is simplified into a single-hop teleportation system form, to perform a single-hop quantum teleportation process, the information sender Alice performs a joint Bell measurement on the held particle t and particle A1 and transmits her measurement result to the information receiver Bob, and Bob performs a corresponding unitary operation on his particle BP+1 according to the received result to recover information of the transferred unknown quantum state.