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Modern Physics Letters A

Efficient tripartite scheme of remotely sharing single-qubit operation with five-qubit Brown state

Hao Yuan, Gang Zhang, Min Kong, Zhanjun Zhang

Published Aug 10, 2022• 5 citations
Publisher

Abstract

A tripartite operation sharing scheme is put forward by employing a five-qubit entangled state [proposed by Brown et al., J. Phys. A 38, 1119 (2005)] as quantum channel. Its sharer asymmetry and its success determinacy are both identified. Moreover, its security is ensured via analyses. In terms of current techniques, its experimental feasibility is discussed and thus confirmed. Furthermore, its comparison with Ye et al.’s scheme [Chin. Phys. Lett. 30, 020301 (2013)] utilizing the same quantum channel is made and shows its distinct advantage of degrading the intensity and difficulty of necessary operations.

DOI
10.1142/s0217732322501632

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A tripartite operation sharing scheme is put forward by employing a five-qubit entangled state [proposed by Brown et al., J. Phys. A 38, 1119 (2005)] as quantum channel. Its sharer asymmetry and its success determinacy are both identified. Moreover, its security is ensured via analyses. In terms of current techniques, its experimental feasibility is discussed and thus confirmed. Furthermore, its comparison with Ye et al.’s scheme [Chin. Phys. Lett. 30, 020301 (2013)] utilizing the same quantum channel is made and shows its distinct advantage of degrading the intensity and difficulty of necessary operations.
A probabilistic tripartite single-qubit operation sharing scheme is put forward by utilizing a two-qubit and a three-qubit non-maximally entangled state as quantum channels. Some specific comparisons between our scheme and another probabilistic scheme are made. It is found that, if the product of the two minimal coefficients characterizing channel entanglements is greater than 3/16, our scheme is more superior than the other one. Nonetheless, the price is that more classical and quantum resources are consumed, and the operation difficulty is rather increased. Moreover, some important features of the scheme, such as its security, probability and sharer symmetry, are revealed through concrete discussions. Additionally, the experimental feasibility of our scheme is analyzed and subsequently confirmed according to the current experimental techniques.
Abstract A four-party deterministic single-qubit operation sharing scheme is proposed by using a generalized seven-qubit Brown state in a given qubit distribution as the quantum channel. Its security is confirmed via analyses. The sharing determinacy and the sharer symmetry of the scheme are identified. The experimental feasibility of the scheme is confirmed through discussions. Moreover, the scheme is compared with a competing one which utilizes the same quantum channel. It is found that the present scheme reduces the necessary operations and two-qubit unitary operation types as well as the classical communication cost. The decreases of both the necessary operation complexity and the classical communication cost eventually mean both the increase of the scheme efficiency and the decrease of the resource consumption. Consequently, the present scheme is superior to the competing one.
In this paper, a four-party quantum operation protocol is proposed using a 7-qubit mixing state, which originates from a 7-qubit Brown state due to a 2-qubit confusion. The security, determinacy, and sharer symmetry, as well as the experiment feasibility of the present protocol, are analyzed and discussed. Notably, the protocol is secure, a quantum operation can be shared by the sharer entity so that it can be successfully executed on a remote target qubit on one sharer’s side, two of the three sharers are symmetric as the reconstruction of the conceivable state is concerned, and the protocol is experimentally feasible in terms of the current technique. The present protocol is concisely compared with four 4-party quantum operation protocols, which are different from the employed quantum channel or the qubit distribution. The present protocol is the first to utilize the entangled mixing state as the quantum channel.
A three-party scheme for sharing an arbitrary single-qubit operation on a distant target qubit is proposed by first utilizing a six-qubit genuinely entangled state presented by [Borras et al., J. Phys. A 40, 13407 (2007)]. The security of the scheme is simply analyzed and ensured. The essential role which the state in the given qubit distribution plays in the QOS task is revealed. The important features including the sharing determinacy and the sharer symmetry are identified. Moreover, the experimental implementation feasibility of the scheme is discussed and confirmed.
Based on classical communication and some local quantum operations, a novel tripartite operation sharing scheme is put forwarded by employing a six-qubit absolutely maximally entangled state as quantum channel. The finally successful probability of this scheme is deterministic and the target quantum operation to be shared is arbitrary. Besides, the optimized entanglement structure ensures that the numbers of necessary quantum operations to accomplish the task is relatively less. Furthermore, analysis shows that the present scheme is feasible with the current experimental technology.