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Open Journal of Microphysics

Remote Quantum-Information Concentration: Reversal of Ancilla-Free Phase-Covariant Telecloning

Xin-Wen Wang, Shi-Qing Tang

Published Jan 1, 2013• 4 citations
Publisher

Abstract

Telecloning and its reverse process, referred to as remote quantum-information concentration (RQIC), have been attracting considerable interest because of their potential applications in quantum-information processing. The previous RQIC protocols were focused on the reverse process of the optimal universal telecloning. We here study the reverse process of ancilla-free phase-covariant telecloning (AFPCT). It is shown that the quantum information originally distributed into two spatially separated qubits from a single qubit via the optimal AFPCT procedure can be remotely concentrated back to a single qubit with a certain probability by using an asymmetric W state as the quantum channel.

DOI
10.4236/ojm.2013.31004

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Telecloning and its reverse process, referred to as remote quantum-information concentration (RQIC), have been attracting considerable interest because of their potential applications in quantum-information processing. The previous RQIC protocols were focused on the reverse process of the optimal universal telecloning. We here study the reverse process of ancilla-free phase-covariant telecloning (AFPCT). It is shown that the quantum information originally distributed into two spatially separated qubits from a single qubit via the optimal AFPCT procedure can be remotely concentrated back to a single qubit with a certain probability by using an asymmetric W state as the quantum channel.
Employing the six-particle W state as the quantum channel in this paper, we investigate remote information concentration (RIC) which is the reverse process of the 1→5 optimal asymmetric economical phase-covariant telecloning (OAEPCT). To achieve the task, Bell state measurement and unitary operation are needed. It is shown that the quantum information initially distributed in five spatially separated qubits can be remotely and probabilistically concentrated back to a single qubit without performing any global operations. The result shows a peculiar phenomenon that the RIC is not always performed perfectly. It can be achieved with certain probability.
Telecloning and its reverse process, referred to as remote information concentration (RIC), have attracted considerable interest because of their potential applications in quantum-information processing. We here present a general scheme for RIC in ddd-level systems (qudits), in which the quantum information initially distributed in many spatially separated qudits can be remotely and deterministically concentrated to a single qudit via an entangled channel without performing any global operations. We show that the entangled channel of RIC can be different types of entangled states, including mixed states as well as pure ones. More interestingly, these mixed states include a bound entangled state which has a similar form to the generalized Smolin state but has different characteristics from it. We also show that there exists a multipartite entangled state which can be used to implement both telecloning and RIC in the two-level system. Our many-to-one RIC protocol could be slightly modified to perform some types of many-to-many RIC tasks.
Remote information concentration via WWW W state: reverse of ancilla-free phase-covariant telecloning
We first classify the quantum clone into irreversible and reversible types from the perspective of quantum-information distribution. We propose a scheme of continuous-variable reversible telecloning, which broadcast the information of an unknown state without loss from a sender to several spatially separated receivers exploiting multipartite entanglement as quantum channels. In this scheme, the quantum information of an unknown state is distributed into MMM optimal clones and $M\ensuremath{-}1$ anticlones using 2M2M2M-partite entanglement. For the perfect quantum-information distribution that is optimal cloning, 2M2M2M-partite entanglement is required to be a maximum two-party entanglement.
The distribution of the quantum states to remote receivers is an indispensable technology in quantum communication, quantum networks, and quantum information processing. Perfect distribution does not allow any quantum information loss of the distributed quantum state. Quantum telecloning, which is made up of quantum cloning and quantum teleportation, is a remote quantum information distribution protocol. Here, we experimentally demonstrate unconditional $1\ensuremath{\rightarrow}3$ quantum telecloning of coherent states, and the fidelities of the cloned states are $0.64\ifmmode\pm\else\textpm\fi{}0.01, 0.64\ifmmode\pm\else\textpm\fi{}0.01$, and $0.49\ifmmode\pm\else\textpm\fi{}0.01$, respectively. No information about the unknown state is lost during the telecloning process by exploiting the quadripartite entangled modes as an auxiliary resource. Deterministic $1\ensuremath{\rightarrow}3$ quantum telecloning has great potential for applications in advanced quantum technology.