Deterministic hierarchical quantum operation sharing with five-qubit partially entangled states

Jia-yin, Peng; Tang, Liang; Yang, Zhen

doi:10.1007/s11128-023-03963-w

Cited by 5 publications

(2 citation statements)

References 55 publications

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“…Efficiency is an important indicator for evaluating quantum communication protocols [31,45,46]. Unlike the transmission of quantum states [45,46], literature [47] defines the efficiency of quantum operation transmission as η = P/(q u + c t ), where P represents the probability that a quantum operation transmission task can be successfully fulfilled, q u denotes the numberof the qubits employed as quantum channel, c t is the numberof the cbits exchanged in classical channel.…”

Section: Discussionmentioning

confidence: 99%

Controlled bidirectional remote implementations of partially unknown quantum operations

Liu,

Maihemuti,

Peng

2024

Phys. Scr.

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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.

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Section: Discussionmentioning

confidence: 99%

Controlled bidirectional remote implementations of partially unknown quantum operations

Liu,

Maihemuti,

Peng

2024

Phys. Scr.

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“…Different to [89,90], in Mentor initialed hierarchical joint remote state preparation, the receivers are hierarchized according to their abilities to prepare the original state. Similar to hierarchical quantum operation sharing, if the three receivers in Mentor initialed hierarchical joint remote state preparation are regarded as one receiver, then the protocols for hierarchical joint remote preparation of the qudit state are reduced to the corresponding protocols for joint remote preparation of the qudit state [91].…”

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confidence: 99%

Mentor initialed multiparty hierarchical joint remote preparation of an arbitrary n-qudit state via generalized Bell states

Jing,

Huang,

et al. 2024

Phys. Scr.

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We propose a protocol to Mentor initiated hierarchical joint remote prepare the arbitrary n-qudit state with generalized Bell states.The agents share generalized Bell states with the Mentor. The Mentor performs five-qudit projective measurements on his entangled particles to initiate the quantum channel shared by the agents. All the senders share the information of the prepared state and make quantum measurements on their particles based on the state to be prepared. The agent in the upper grade needs only the assistance of one of the agents in the lower grade to reconstruct the original state, while the agents in the lower grade need the assistance of all the other agents to recover the original state. It is more convenient in application than others since the agents in the protocol only requires two-particle entanglement for Mentor initiated hierarchical joint remote preparation of an arbitrary n-qudit state.

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Asymmetric bidirectional cyclic controlled quantum teleportation in noisy environment

Xu,

Zhou

2023

Quantum Inf Process

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Deterministic hierarchical quantum operation sharing with five-qubit partially entangled states

Cited by 5 publications

References 55 publications

Controlled bidirectional remote implementations of partially unknown quantum operations

Controlled bidirectional remote implementations of partially unknown quantum operations

Mentor initialed multiparty hierarchical joint remote preparation of an arbitrary n-qudit state via generalized Bell states

Asymmetric bidirectional cyclic controlled quantum teleportation in noisy environment

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