© 2026 Aqora Quantum S.A.S.

Terms Privacy Legal Notice

arXiv:quant-ph/0510210 · Physical Review A

Combined and controlled remote implementations of partially unknown quantum operations of multiqubits using Greenberger-Horne-Zeilinger states

An Min Wang

Published Jun 19, 2007• 68 citations

Abstract

We propose and prove protocols of combined and controlled remote implementations of partially unknown quantum operations belonging to the restricted sets [A. M. Wang, Phys. Rev. A 74, 032317 (2006)] using Greenberger-Horne-Zeilinger (GHZ) states. We present the protocols in detail in the cases of one qubit, with two senders and with one controller, respectively. Then we study the variations of protocols with many senders, or with many controllers, or with both many senders and controllers using a multipartite GHZ state. Furthermore, we extend these protocols to the cases of multiqubits. Because our protocols have to request that the senders work together and transfer the information in turn or receive the repertoire of extra supercontrollers, or/and the controller(s) open the quantum channel and distribute the passwords in different ways, they definitely have the strong security in remote quantum information processing and communications. Moreover, the combined protocol with many senders is helpful to arrive at the power of remote implementations of quantum operations to the utmost extent in theory, since the different senders may have different operational resources and different operational rights in practice, and the controlled protocol with many controllers is able to enhance security and increase applications of remote implementations of quantum operations in engineering, since it has some common features in a controlled process.

DOI: 10.1103/physreva.75.062323

Related papers

Controlled Remote Information Concentration bya Multiqubit Greenberger-Horne-Zeilinger Entangled State

Xie Li-Jun

A scheme for remote information concentration via a five-qubit Greenberger-Horne-Zeilinger entangled(GHZ) state is proposed.In this scheme,the GHZ state serves not only the control parameter but also the quantum channel.The receiver can successfully reconstruct the quantum information of a single qubit state,which has been distributed into three spatially separated qubits,depending on the cooperation of a controller without any global operations.This scheme can also be generalized to the case with nspatially separated controllers via an(n+4)-qubit GHZ state.

Journal of Hengyang Normal University•Jan 1, 2013•0 citations

Controlled bidirectional remote implementations of partially unknown quantum operations

Miao Liu, Nueraminaimu Maihemuti, Peng Jia-yin

Abstract By blending the ideas of controlled teleportation, bidirectional teleportation and remote implementation of quantum operations, we investigate the bidirectional transmission of quantum operations under the control of one supervisor. Firstly, we provide a method for generating a class of multi-particle entangled states, including five-particle and seven-particle entangled states, using a nine-particle entangled state as an example. Then using our constructed five-particle entangled state as a quantum channel, we propose a new controlled bidirectional protocol for remotely implementing partially known quantum operations (PUQOs for short) of one qubit within the two restricted sets satisfying specific conditions. Subsequently, exploiting a nine-particle entangled state as the quantum channel, we extend it to the case of two-qubit quantum operations which come from eight restricted sets. Replacing two PUQO of two qubits by a PUQO of one qubit and a PUQO of two qubits, we put forward another new asymmetric controlled bidirectional protocol for remotely implementing PKQOs via a seven-particle entangled state as the quantum channel. In these protocols, by using universal recovered operations performed by the receivers, the senders can simultaneously exchange their PUQOs as long as the controller collaborates, where each PUQO acts on the corresponding unknown state owned by the remote recipient.

Physica Scripta•Feb 27, 2024•13 citations

Remote implementations of partially unknown quantum operations of multiqubits

An Min Wang

We propose and prove the protocol of remote implementations of partially unknown quantum operations of multiqubits belonging to the restricted sets. Moreover, we obtain the general and explicit forms of restricted sets and present evidence of their uniqueness and optimization. In addition, our protocol has universal recovery operations that can enhance the power of remote implementations of quantum operations.

arXiv:quant-ph/0510209•Physical Review A•Sep 15, 2006•68 citations

Configurable controlled teleportation using multipartite GHZ states

Soubhik De, R Vedhanayagi, S. V. M. Satyanarayana +1 more

We propose a controlled quantum teleportation protocol for securely transferring an unknown $n$-qubit state from a sender to a receiver, under the supervision of $m$ controller participants. The protocol uses $n$ copies of an $m$-qubit Greenberger-Horne-Zeilinger state as the quantum resource. Message qubits can be distributed among participants to enhance security against targeted external attacks. Each intermediate party may hold at most one resource qubit, reducing the total number of resource qubits required. The sender selects the end receiver during protocol execution, ensuring anonymity and minimizing the risk of interception by an external eavesdropper. We assess the protocol's performance by calculating teleportation fidelities for various $m$ and $n$ values and visualize the quantum states through Hinton diagrams. The results confirm the protocol's effectiveness for secure quantum communication in multi-party settings.

arXiv:2411.18196•Nov 27, 2024•0 citations

CONTROLLED AND REMOTE IMPLEMENTATION OF A SPLIT QUANTUM ROTATION AND SENDER-ENCODED SECRET SHARING

Libing Chen, Yuhua Liu, H. Lu

A quantum rotation can be divided into M pieces and teleported from a sender onto M distant receivers via the control of N agents in a quantum network. We utilize the entanglement property of a (2M + N + 1)-qubit Einstein–Podolsky–Rosen (EPR) — Greenberger–Horne–Zeilinger (GHZ) state to design a theoretical scheme for implementing these rotations remotely with unit fidelity and unit probability. The feature of the scheme is that, apart from a sender and M receivers, N agents are included in the process as controllers. Should any one of the N agents not cooperate, the receivers could not gain the original rotations. This scheme can be used to sender-encoded quantum secret sharing. It definitely has the strong security.

Modern Physics Letters B•Feb 20, 2010•6 citations

Multiparty-controlled teleportation with generalised GHZ states in quantum communication network

Xiaoqing Tan, Lianxia Jiang, Junpeng Hu

A multiparty-controlled teleportation (M-CT) scheme for securely teleporting an arbitrary unknown single-qubit state by using generalised Greenberger-Horne-Zeilinger (GHZ) states is presented in this paper, i.e., a sender, Alice, transmits an arbitrary single-qubit state to a distant receiver, Bob, under approving by all N controllers Charliei(i = 1, 2, …, N) in a quantum communication network. It is proved feasibly and easily to realise by quantum entanglement. The security of proposed scheme is also discussed. We make sure of the security of the quantum channel between the parties by decoy states. This scheme also can be used to share a quantum secret information in quantum secret sharing.

International Journal of Communication Networks and Distributed Systems•Jan 1, 2014•0 citations

We propose and prove protocols of combined and controlled remote implementations of partially unknown quantum operations belonging to the restricted sets [A. M. Wang, Phys. Rev. A 74, 032317 (2006)] using Greenberger-Horne-Zeilinger (GHZ) states. We present the protocols in detail in the cases of one qubit, with two senders and with one controller, respectively. Then we study the variations of protocols with many senders, or with many controllers, or with both many senders and controllers using a multipartite GHZ state. Furthermore, we extend these protocols to the cases of multiqubits. Because our protocols have to request that the senders work together and transfer the information in turn or receive the repertoire of extra supercontrollers, or/and the controller(s) open the quantum channel and distribute the passwords in different ways, they definitely have the strong security in remote quantum information processing and communications. Moreover, the combined protocol with many senders is helpful to arrive at the power of remote implementations of quantum operations to the utmost extent in theory, since the different senders may have different operational resources and different operational rights in practice, and the controlled protocol with many controllers is able to enhance security and increase applications of remote implementations of quantum operations in engineering, since it has some common features in a controlled process.

A scheme for remote information concentration via a five-qubit Greenberger-Horne-Zeilinger entangled(GHZ) state is proposed.In this scheme,the GHZ state serves not only the control parameter but also the quantum channel.The receiver can successfully reconstruct the quantum information of a single qubit state,which has been distributed into three spatially separated qubits,depending on the cooperation of a controller without any global operations.This scheme can also be generalized to the case with nspatially separated controllers via an(n+4)-qubit GHZ state.

Abstract By blending the ideas of controlled teleportation, bidirectional teleportation and remote implementation of quantum operations, we investigate the bidirectional transmission of quantum operations under the control of one supervisor. Firstly, we provide a method for generating a class of multi-particle entangled states, including five-particle and seven-particle entangled states, using a nine-particle entangled state as an example. Then using our constructed five-particle entangled state as a quantum channel, we propose a new controlled bidirectional protocol for remotely implementing partially known quantum operations (PUQOs for short) of one qubit within the two restricted sets satisfying specific conditions. Subsequently, exploiting a nine-particle entangled state as the quantum channel, we extend it to the case of two-qubit quantum operations which come from eight restricted sets. Replacing two PUQO of two qubits by a PUQO of one qubit and a PUQO of two qubits, we put forward another new asymmetric controlled bidirectional protocol for remotely implementing PKQOs via a seven-particle entangled state as the quantum channel. In these protocols, by using universal recovered operations performed by the receivers, the senders can simultaneously exchange their PUQOs as long as the controller collaborates, where each PUQO acts on the corresponding unknown state owned by the remote recipient.

We propose a controlled quantum teleportation protocol for securely transferring an unknown

n

-qubit state from a sender to a receiver, under the supervision of

m

controller participants. The protocol uses

n

copies of an

m

-qubit Greenberger-Horne-Zeilinger state as the quantum resource. Message qubits can be distributed among participants to enhance security against targeted external attacks. Each intermediate party may hold at most one resource qubit, reducing the total number of resource qubits required. The sender selects the end receiver during protocol execution, ensuring anonymity and minimizing the risk of interception by an external eavesdropper. We assess the protocol's performance by calculating teleportation fidelities for various

m

and

n

values and visualize the quantum states through Hinton diagrams. The results confirm the protocol's effectiveness for secure quantum communication in multi-party settings.

A quantum rotation can be divided into M pieces and teleported from a sender onto M distant receivers via the control of N agents in a quantum network. We utilize the entanglement property of a (2M + N + 1)-qubit Einstein–Podolsky–Rosen (EPR) — Greenberger–Horne–Zeilinger (GHZ) state to design a theoretical scheme for implementing these rotations remotely with unit fidelity and unit probability. The feature of the scheme is that, apart from a sender and M receivers, N agents are included in the process as controllers. Should any one of the N agents not cooperate, the receivers could not gain the original rotations. This scheme can be used to sender-encoded quantum secret sharing. It definitely has the strong security.

A multiparty-controlled teleportation (M-CT) scheme for securely teleporting an arbitrary unknown single-qubit state by using generalised Greenberger-Horne-Zeilinger (GHZ) states is presented in this paper, i.e., a sender, Alice, transmits an arbitrary single-qubit state to a distant receiver, Bob, under approving by all N controllers Charliei(i = 1, 2, …, N) in a quantum communication network. It is proved feasibly and easily to realise by quantum entanglement. The security of proposed scheme is also discussed. We make sure of the security of the quantum channel between the parties by decoy states. This scheme also can be used to share a quantum secret information in quantum secret sharing.