Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Laser Physics Letters

Bidirectional controlled remote implementation of quantum operations

PENG-CHENG MA, Gui-Bin Chen, Baolin Hu, Jin Shi, Xiaoqiang Yu, You-Bang Zhan

Published Dec 1, 2025• 0 citations
Publisher

Abstract

Abstract In this work, we present two schemes for the bidirectional controlled remote implementation of quantum operations. Firstly, the bidirectional controlled teleportation of two arbitrary unitary operations is considered. Then, the scheme for bidirectional controlled remote implementation of partially unknown operations belong to some restricted sets is proposed. In these schemes, two users are not only senders but also receivers. It is shown that, in these schemes, only if the two senders and controller collaborate with each other, the bidirectional controlled remote implementation of quantum operations can be completed successfully.

DOI
10.1088/1612-202x/ae210a

Related papers

Controlled remote implementation of quantum operations with high-dimensional systems

You-Bang Zhan, Xiaowei Li, Peng-Cheng Ma +1 more

We present two protocols for the controlled remote implementation of quantum operations between three-party high-dimensional systems. Firstly, the controlled teleportation of an arbitrary unitary operation by bidirectional quantum state teleportaion (BQST) with high-dimensional systems is considered. Then, instead of using the BQST method, a protocol for controlled remote implementation of partially unknown operations belonging to some restricted sets in high-dimensional systems is proposed. It is shown that, in these protocols, if and only if the controller would like to help the sender with the remote operations, the controlled remote implementation of quantum operations for high-dimensional systems can be completed.

Chinese Physics B•Apr 1, 2013•8 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

Hybrid bidirectional controlled quantum communication of a tripartite three-qubit entangled state

Qun-Yong Zhang, P F Ma, You-Bang Zhan

Abstract We present a novel scheme for hybrid bidirectional controlled quantum communication (HBCQC) using a nine-qubit entangled state as the quantum channel. In this scheme, the two remote parties, Alice and Bob, act as both senders and receivers. Alice seeks to teleport an unknown single-qubit state to Bob; simultaneously, Bob intends to assist Alice in remotely preparing an arbitrary tripartite three-qubit entangled state. It is shown that the HBCQC can be completed successfully only if the two senders and the controller collaborate with one another. This scheme is well-suited for heterogeneous and uncoordinated quantum networks, and it advances both their practical implementation and theoretical foundations.

Laser Physics Letters•Jul 1, 2026•0 citations

Multi-layer controlled remote implementation of partially unknown single-qudit operations

Siyi Li, Song-Ya Ma, Si Jin

Abstract Our concern is to investigate controlled remote implementation of partially unknown operations with multiple layers. We first propose a scheme to realize the remote implementation of single-qubit operations belonging to the restricted sets. Then, the proposed scheme is extended to the case of single-qudit operations. As long as the controller and the higher-layer senders consent, the receiver can restore the desired state remotely operated by the sender. It is worth mentioning that the recovery operation is deduced by general formulas which clearly reveal the relationship with the measurement outcomes. For the sake of clarity, two specific examples with two levels are given respectively. In addition, we discuss the influence of amplitude-damping noise and utilize weak measurement and measurement reversal to effectively resist noise.

Communications in Theoretical Physics•Sep 6, 2024•3 citations

Remote implementation of partially unknown operations and its entanglement costs

Shu-Hui Luo, An Min Wang

We present the generalized version of Wang's protocol[A.M.Wang, Phys.Rev.A 74,032317 (2006)] for the remote implementation(sometimes referred to as quantum remote control) of partially unknown quantum operations. The protocol only requires no more than half of the entanglements used in Bidirectional Quantum State Teleportation. We also propose a protocol for another form of quantum remote control. It can remotely implement a unitary operation which is a combination of the projective representations of a group. Moreover, we prove that the Schmidt rank of the entanglements cannot not be less than the number of controlled parameters of the operations, which for the first time gives a lower bound on entanglement costs in remote implementation of quantum operations.

arXiv:1301.5866•Jan 24, 2013•3 citations

Hierarchical Controlled Joint Remote Implementation of the Partially Unknown Operations of m Qudits via m High-Dimensional Entangled States

Rui-Heng Jing, Qi Lan, Ping Zhou

We present a protocol for the hierarchical controlled joint remote implementation of the partially unknown operations of m qudits belonging to some restricted sets by using m multiparticle high-dimensional entangled states as the quantum channel. All the senders share the information of the partially unknown operations and cooperate with each other to implement the partially unknown operations on the remote receiver's quantum system. The receivers are hierarchized in accordance with their abilities to reconstruct the desired state. The agents in the upper grade need only cooperate with one of the lower-grade agents, and the agents in the lower grade need the cooperation of all the other agents. The protocol has the advantage of having high channel capacity by using a high-dimensional entangle state as the quantum channel for the hierarchial controlled joint remote implementation of partially unknown quantum operations of m qudits.

Entropy•Oct 10, 2024•6 citations
Abstract In this work, we present two schemes for the bidirectional controlled remote implementation of quantum operations. Firstly, the bidirectional controlled teleportation of two arbitrary unitary operations is considered. Then, the scheme for bidirectional controlled remote implementation of partially unknown operations belong to some restricted sets is proposed. In these schemes, two users are not only senders but also receivers. It is shown that, in these schemes, only if the two senders and controller collaborate with each other, the bidirectional controlled remote implementation of quantum operations can be completed successfully.
We present two protocols for the controlled remote implementation of quantum operations between three-party high-dimensional systems. Firstly, the controlled teleportation of an arbitrary unitary operation by bidirectional quantum state teleportaion (BQST) with high-dimensional systems is considered. Then, instead of using the BQST method, a protocol for controlled remote implementation of partially unknown operations belonging to some restricted sets in high-dimensional systems is proposed. It is shown that, in these protocols, if and only if the controller would like to help the sender with the remote operations, the controlled remote implementation of quantum operations for high-dimensional systems can be completed.
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.
Abstract We present a novel scheme for hybrid bidirectional controlled quantum communication (HBCQC) using a nine-qubit entangled state as the quantum channel. In this scheme, the two remote parties, Alice and Bob, act as both senders and receivers. Alice seeks to teleport an unknown single-qubit state to Bob; simultaneously, Bob intends to assist Alice in remotely preparing an arbitrary tripartite three-qubit entangled state. It is shown that the HBCQC can be completed successfully only if the two senders and the controller collaborate with one another. This scheme is well-suited for heterogeneous and uncoordinated quantum networks, and it advances both their practical implementation and theoretical foundations.
Abstract Our concern is to investigate controlled remote implementation of partially unknown operations with multiple layers. We first propose a scheme to realize the remote implementation of single-qubit operations belonging to the restricted sets. Then, the proposed scheme is extended to the case of single-qudit operations. As long as the controller and the higher-layer senders consent, the receiver can restore the desired state remotely operated by the sender. It is worth mentioning that the recovery operation is deduced by general formulas which clearly reveal the relationship with the measurement outcomes. For the sake of clarity, two specific examples with two levels are given respectively. In addition, we discuss the influence of amplitude-damping noise and utilize weak measurement and measurement reversal to effectively resist noise.
We present the generalized version of Wang's protocol[A.M.Wang, Phys.Rev.A 74,032317 (2006)] for the remote implementation(sometimes referred to as quantum remote control) of partially unknown quantum operations. The protocol only requires no more than half of the entanglements used in Bidirectional Quantum State Teleportation. We also propose a protocol for another form of quantum remote control. It can remotely implement a unitary operation which is a combination of the projective representations of a group. Moreover, we prove that the Schmidt rank of the entanglements cannot not be less than the number of controlled parameters of the operations, which for the first time gives a lower bound on entanglement costs in remote implementation of quantum operations.
We present a protocol for the hierarchical controlled joint remote implementation of the partially unknown operations of m qudits belonging to some restricted sets by using m multiparticle high-dimensional entangled states as the quantum channel. All the senders share the information of the partially unknown operations and cooperate with each other to implement the partially unknown operations on the remote receiver's quantum system. The receivers are hierarchized in accordance with their abilities to reconstruct the desired state. The agents in the upper grade need only cooperate with one of the lower-grade agents, and the agents in the lower grade need the cooperation of all the other agents. The protocol has the advantage of having high channel capacity by using a high-dimensional entangle state as the quantum channel for the hierarchial controlled joint remote implementation of partially unknown quantum operations of m qudits.