Quantum teleportation is of significant meaning in quantum information. In this paper, we study the probabilistic teleportation of a two-qubit entangled state via a partially entangled Greenberger- Horne-Zeilinger （...Quantum teleportation is of significant meaning in quantum information. In this paper, we study the probabilistic teleportation of a two-qubit entangled state via a partially entangled Greenberger- Horne-Zeilinger （GHZ） state when the quantum channel information is only available to the sender. We formulate it as an unambiguous state discrimination problem and derive exact optimal positive-operator valued measure （POVM） operators for maximizing the probability of unambiguous discrimination. Only one three-qubit POVM for the sender, one two-qubit unitary operation for the receiver, and two chits for outcome notification are required in this scheme. The unitary operation is given in the form of a concise formula, and the fidelity is calculated. The scheme is further extended to more general case for transmitting a two-qubit entangled state prepared in arbitrary form. We show this scheme is flexible and applicable in the hop-by-hop teleportation situation.展开更多
In this paper,we discuss the ability of realizing Kraus operators and POVM measurements in a duality quantum computer.We prove that not all the Kraus operators can be realized in a duality quantum computer.We introduc...In this paper,we discuss the ability of realizing Kraus operators and POVM measurements in a duality quantum computer.We prove that not all the Kraus operators can be realized in a duality quantum computer.We introduce a new type of duality quantum circuit,multiduality circuit,by repeating the previous version of duality quantum circuit as a unit,and we can realize universal Kraus operators and POVM measurements with this new circuit.We also give a measure of the complexity of the Kraus operations in terms of the minimum number the units required to realize the Kraus operations in multiduality circuit.展开更多
A conclusive teleportation protocol of a d-dimensional two-particle unknown quantum state using three d- dimensional particles in an arbitrary pure state is proposed. A sender teleports the unknown state conclusively ...A conclusive teleportation protocol of a d-dimensional two-particle unknown quantum state using three d- dimensional particles in an arbitrary pure state is proposed. A sender teleports the unknown state conclusively to a receiver by using the positive operator valued measure（POVM） and introducing an ancillary qudit to perform the generalized Bell basis measurement, We calculate the optimal teleportation fidelity. We also discuss and analyse the reason why the information on the teleported state is lost in the course of the protocol,展开更多
基金This work was supported by the National Natural Science Foundation of China （Grant No. 61601120） China Postdoctoral Science Foundation （Grant No. 2016M591742） and Jiangsu Planned Projects for Postdoctoral Research Funds （Grant No. 1601166C）.
文摘Quantum teleportation is of significant meaning in quantum information. In this paper, we study the probabilistic teleportation of a two-qubit entangled state via a partially entangled Greenberger- Horne-Zeilinger （GHZ） state when the quantum channel information is only available to the sender. We formulate it as an unambiguous state discrimination problem and derive exact optimal positive-operator valued measure （POVM） operators for maximizing the probability of unambiguous discrimination. Only one three-qubit POVM for the sender, one two-qubit unitary operation for the receiver, and two chits for outcome notification are required in this scheme. The unitary operation is given in the form of a concise formula, and the fidelity is calculated. The scheme is further extended to more general case for transmitting a two-qubit entangled state prepared in arbitrary form. We show this scheme is flexible and applicable in the hop-by-hop teleportation situation.
基金supported by the Fundamental Research Funds for the Central Universities(12QN25)
文摘In this paper,we discuss the ability of realizing Kraus operators and POVM measurements in a duality quantum computer.We prove that not all the Kraus operators can be realized in a duality quantum computer.We introduce a new type of duality quantum circuit,multiduality circuit,by repeating the previous version of duality quantum circuit as a unit,and we can realize universal Kraus operators and POVM measurements with this new circuit.We also give a measure of the complexity of the Kraus operations in terms of the minimum number the units required to realize the Kraus operations in multiduality circuit.
基金Project supported by the National Natural Science Foundation of China （Grant No 60373059）, the Major Research Plan of the National Natural Science Foundation of China （Grant No 90604023） and the Doctoral Foundation of the State Education Ministry of China（Grant No 20040013007）.
文摘A conclusive teleportation protocol of a d-dimensional two-particle unknown quantum state using three d- dimensional particles in an arbitrary pure state is proposed. A sender teleports the unknown state conclusively to a receiver by using the positive operator valued measure（POVM） and introducing an ancillary qudit to perform the generalized Bell basis measurement, We calculate the optimal teleportation fidelity. We also discuss and analyse the reason why the information on the teleported state is lost in the course of the protocol,
