Three-qubit mixed states are used as a channel for controlled quantum teleportation (CQT) of single-qubit states. The connection between different channel parameters to achieve maximum controlled teleportation fidelity is investigated. We show that for a given multipartite entanglement and mixedness a class of non-maximally-entangled mixed $X$ states ( $X$ -NMEMS) achieves optimum controlled quantum teleportation fidelity; interestingly a class of maximally entangled mixed $X$ states ( $X$ -MEMS) fails to do so. This demonstrates, for a given spectrum and mixedness, that $X$ -MEMS are not sufficient to attain optimum controlled quantum teleportation fidelity, which is in contradiction with the traditional quantum teleportation of single qubits. In addition, we show that biseparable $X$ -NMEMS, for a certain range of mixedness, are useful as a resource to attain high controlled quantum teleportation fidelity, which essentially lowers the requirements of quantum channels for CQT.Three-qubit mixed states are used as a channel for controlled quantum teleportation (CQT) of single-qubit states. The connection between different channel parameters to achieve maximum controlled teleportation fidelity is investigated. We show that for a given multipartite entanglement and mixedness a class of non-maximally-entangled mixed $X$ states ($X$-NMEMS) achieves optimum controlled quantum teleportation fidelity; interestingly a class of maximally entangled mixed $X$ states ($X$-MEMS) fails to do so. This demonstrates, for a given spectrum and mixedness, that $X$-MEMS are not sufficient to attain optimum controlled quantum teleportation fidelity, which is in contradiction with the traditional quantum teleportation of single qubits. In addition, we show that biseparable $X$-NMEMS, for a certain range of mixedness, are useful as a resource to attain high controlled quantum teleportation fidelity, which essentially lowers the requirements of quantum channels for CQT.

arXiv:1907.00608Physical Review ANov 19, 201917 citations

Teleportation

이선우

Jul 6, 20250 citations

Teleportation

Ray LaPierre

The Materials Research Society seriesOct 24, 20250 citations

Four-directional controlled quantum teleportation by using a nine-qubit entangled state as the quantum channel

Vikram Verma

In this paper, we propose a four-directional controlled quantum teleportation (CQT) by using a nine-qubit entangled state as the quantum channel. In 2020, a scheme for four-directional controlled quantum teleportation by using a 10-qubit state as the quantum resource had been proposed in X. W. Zha and K. Li [Mod. Phys. Lett. B 34, 2050412 (2020)] in which the controller has no control over the two teleportation processes. In this study, it is also shown that two receivers cannot reconstruct the original state sent from the respective senders and hence the teleportation processes cannot be completed in the previous scheme. However, these problems have been resolved in our proposed scheme in which the controller has control over all the teleportation processes and none of the receivers can reconstruct the original state sent from the respective senders without the permission of the controller. Thus, our proposed scheme reduces the consumption of quantum resource and is more secure and successful as compared to the previous scheme.In this paper, we propose a four-directional controlled quantum teleportation (CQT) by using a nine-qubit entangled state as the quantum channel. In 2020, a scheme for four-directional controlled quantum teleportation by using a 10-qubit state as the quantum resource had been proposed in X. W. Zha and K. Li [Mod. Phys. Lett. B 34, 2050412 (2020)] in which the controller has no control over the two teleportation processes. In this study, it is also shown that two receivers cannot reconstruct the original state sent from the respective senders and hence the teleportation processes cannot be completed in the previous scheme. However, these problems have been resolved in our proposed scheme in which the controller has control over all the teleportation processes and none of the receivers can reconstruct the original state sent from the respective senders without the permission of the controller. Thus, our proposed scheme reduces the consumption of quantum resource and is more secure and successful as compared to the previous scheme.

Modern Physics Letters AJan 20, 20234 citations

Teleportation

Bettina Just

Springer eBooksJan 1, 20220 citations

Controlled quantum teleportation over noisy channels

Vega Alcívar, Paúl Andrés

Quantum teleportation (QT) is the principal method of transferring quantum states from one place to another without actually revealing which quantum state is being transferred. This protocol makes use of entangled states shared between the sending and receiving stations, and two bits of classical information. However, in real communication systems which are used to carry the entangled state, a typical noise results in the degradation of the fidelity of teleported states. The protocol of controlled quantum teleportation (CQT) represents an extension to the standard quantum teleportation (SQT) with includes the third entity, so called “controller“, and is based on sharing of a tripartite entangled quantum state. The role of controller is to permit the fidelity of teleported state to be higher than it can be done using only classical resources. As a typical noise has detrimental effect on the performance of quantum teleportation protocols, In this work, a study of different noisy channels, which can exhibit the Markovian or non-Markovian dynamics is presented. Each noisy channel is characterized by the teleportation fidelity and by the control power.Quantum teleportation (QT) is the principal method of transferring quantum states from one place to another without actually revealing which quantum state is being transferred. This protocol makes use of entangled states shared between the sending and receiving stations, and two bits of classical information. However, in real communication systems which are used to carry the entangled state, a typical noise results in the degradation of the fidelity of teleported states. The protocol of controlled quantum teleportation (CQT) represents an extension to the standard quantum teleportation (SQT) with includes the third entity, so called “controller“, and is based on sharing of a tripartite entangled quantum state. The role of controller is to permit the fidelity of teleported state to be higher than it can be done using only classical resources. As a typical noise has detrimental effect on the performance of quantum teleportation protocols, In this work, a study of different noisy channels, which can exhibit the Markovian or non-Markovian dynamics is presented. Each noisy channel is characterized by the teleportation fidelity and by the control power.

Jul 1, 20200 citations

X

states (

X

-NMEMS) achieves optimum controlled quantum teleportation fidelity; interestingly a class of maximally entangled mixed

X

states (

X

-MEMS) fails to do so. This demonstrates, for a given spectrum and mixedness, that

X

-MEMS are not sufficient to attain optimum controlled quantum teleportation fidelity, which is in contradiction with the traditional quantum teleportation of single qubits. In addition, we show that biseparable

X

-NMEMS, for a certain range of mixedness, are useful as a resource to attain high controlled quantum teleportation fidelity, which essentially lowers the requirements of quantum channels for CQT.