Cyclic Controlled Assisted Cloning Via A Hyper-Entangled State

Two novel schemes for symmetry deterministic cyclic controlled assisted cloning and asymmetry deterministic cyclic controlled assisted cloning by using a three-particle hyper-entangled state as the quantum channel are proposed in this paper. The first stage of scheme for symmetry deterministic cyclic controlled assisted cloning requires symmetry deterministic cyclic controlled teleportation. Three distant parties Alice, Bob and Charlie can simultaneous teleport an arbitrary unknown one-qubit state each other via Bell-state measurement, Hadamard operation, single-particle projective measurement, and appropriate unitary transformation. In the second stage of scheme for symmetry deterministic cyclic controlled assisted cloning, they can obtain a perfect copy of original unknown state with assistance from different state preparers, respectively. In the first stage of scheme for asymmetry deterministic cyclic controlled assisted cloning, Alice can teleport an arbitrary unknown two-qubit state at distant Bob’s site under the control of Charlie, Bob can teleport an arbitrary unknown four-dimensional single-particle state at distant Charlie’s site under the control of Alice, and Charlie can teleport an arbitrary unknown single-qubit state at distant Alice’s site under the control of Bob simultaneously. They can obtain a perfect copy of original unknown state with assistance from different state preparers in the second stage of scheme for asymmetry deterministic cyclic controlled assisted cloning, respectively.