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Communications in Theoretical Physics

Controlled Telecloning and Teleflipping for One-Qubit Pure States

Zhan Xiao-Gui, Deng-Yu Zhang, Gao Feng, Yan‐Ling Li, Zeng Hao-Sheng

Published Jun 1, 2009• 3 citations
Publisher

Abstract

We propose a scheme for realizing controlled 1 → 2 telecloning and 1 → 1 teleflipping for one-qubit pure states via a quantum network including N agents. The quantum operations used in the information-transmission process are just only one Bell-state measurement, and a series of single-qubit operation. It is shown that the fidelities of the controlled telecloning and teleflipping are independent of the initial states and reach their optimal values of 5/6 and 2/3 respectively on the condition that all the agents collaborate. If any one agent does not cooperate, the fidelities become state-dependent and are always smaller than the corresponding optimal values. The average fidelities are equal to the balanced value 1/2, which implies that on average the state incepted by any one of the receivers is a fully mixed state. Thus no information leaks out to any dishonest receivers. The security of telecloning and teleflipping have been increased greatly.

DOI
10.1088/0253-6102/51/6/12

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We propose a scheme for realizing controlled 1 → 2 telecloning and 1 → 1 teleflipping for one-qubit pure states via a quantum network including N agents. The quantum operations used in the information-transmission process are just only one Bell-state measurement, and a series of single-qubit operation. It is shown that the fidelities of the controlled telecloning and teleflipping are independent of the initial states and reach their optimal values of 5/6 and 2/3 respectively on the condition that all the agents collaborate. If any one agent does not cooperate, the fidelities become state-dependent and are always smaller than the corresponding optimal values. The average fidelities are equal to the balanced value 1/2, which implies that on average the state incepted by any one of the receivers is a fully mixed state. Thus no information leaks out to any dishonest receivers. The security of telecloning and teleflipping have been increased greatly.
A scheme combining three processes of quantum teleportation, optimal universal quantum flipping and optimal universal quantum cloning for universal teleflipping and telecloning of arbitrary qubit is proposed. When a particular four-particle entangled state shared by the sender and three spatially separated receivers is used as quantum information channel, after the sender's Bell measurement, class ical communication and each receiver's local unitary operation, one receiver can get one orthogonal complementing state of the original unknown state with the o ptimal fidelity of 2/3, the other two receivers can respectively get one copy of the original unknown state with the optimal fidelity of 5/6. This scheme implem ents the universal quantum teleflipping and telecloning simultaneously with corr esponding optimal fidelity by using the reduced entanglement. The key to realizi ng this scheme is the construction of the particular four-particle entangled sta te shared by the sender and three receivers used as quantum information channel. The entanglement structure of the special four-particle entangled state is anal yzed.
We propose a scheme for realizing a controlled teleportation of random M-qudit quantum information under the control of N agents. The resource consumption includes a prearranged (2M + N + 1)-qudit entangled quantum channel and (2M + N + 1) log2 d-bit classical communication. And the quantum operations used in the teleportation process are a series of generalized Bell-state measurements, single-qudit measurements, qudit H-gates, qudit-Pauli gates and qudit phase gates. It is shown that the original state can be restored by the receiver only on condition that all the agents work in collaboration with each others. If one agent does not cooperate with the other, the original state cannot be fully recovered.
We present a controlled teleportation scheme for teleporting an arbitrary superposition state of an M -qudit quantum system. The scheme employs only one entangled state as quantum channel, which consists of the qudits from Alice, Bob and every agent. The quantum operations used in the teleportation process are a series of qudit Bell measurements, single-qudit projective measurements, qudit H -gates, qudit-Pauli gates and qudit phase gates. It is shown that the original state can be restored by the receiver only on the condition that all the agents collaborate. If any agent does not cooperate, the original state can not be fully recovered.
We present a way to teleport multi-qubit quantum information from one place to a distant receiver via the control of many agents in a network. We show that the original state of each qubit can be restored by the receiver as long as all the agents collaborate; however, if even one agent does not cooperate, in general the receiver can not fully recover the original state of each qubit. The method presented here operates essentially through entangling quantum information during the teleportation, in such a way that the required auxiliary qubit resources, local operation, and classical communication are considerably reduced for the present purpose
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We propose a scheme of 1$\to2optimaluniversalasymmetricquantumtelecloningofpuremultiqubitstates.Inparticular,wefirstinvestigatetheasymmetrictelecloningofarbitrary2−qubitstatesandthenextendittothecaseofmultiqubitsystem.Manyfiguresofmeritforthetelecloningprocessarechecked,includingtheentanglementofthequantumchannelandfidelitiesoftheclones.Ourschemecanbeusedforthe12 optimal universal asymmetric quantum telecloning of pure multiqubit states. In particular, we first investigate the asymmetric telecloning of arbitrary 2-qubit states and then extend it to the case of multiqubit system. Many figures of merit for the telecloning process are checked, including the entanglement of the quantum channel and fidelities of the clones. Our scheme can be used for the 12optimaluniversalasymmetricquantumtelecloningofpuremultiqubitstates.Inparticular,wefirstinvestigatetheasymmetrictelecloningofarbitrary2−qubitstatesandthenextendittothecaseofmultiqubitsystem.Manyfiguresofmeritforthetelecloningprocessarechecked,includingtheentanglementofthequantumchannelandfidelitiesoftheclones.Ourschemecanbeusedforthe1\to$4 universal telecloning of mixed multiqubit states.