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Modern Physics Letters A

Degrade the implement intensity of tripartite operation sharing using six-qubit entangled state

Yun Ma, Zhong-Rong Shi, Hao Yuan

Published Jan 20, 2024• 0 citations
Publisher

Abstract

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.

DOI
10.1142/s0217732323501900

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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.
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 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.
Two tripartite schemes are put forward with shared entanglements and Local Operation and Classical Communication (LOCC) for sharing an operation on a remote target sate. The first scheme uses a Bell and a symmetric W states as quantum channels, while the second replaces the symmetric W state by an asymmetric one. Both schemes are treated and compared from the aspects of quantum resource consumption, operation complexity, classical resource consumption, success probability and efficiency. It is found that the latter scheme is better than the former one. Particularly, the sharing can be achieved only probabilistically with the first scheme deterministically with the second one.
In this paper the possibility of using mixing entangled states as quantum channel to accomplish quantum state sharing (QSTS) is considered. As a preliminary study, an efficient tripartite QSTS scheme is put forward by utilizing a mixing entangled state, which is a derivative of a six-qubit entangled pure state under a two-qubit confusion. Some specific discussions about the QSTS scheme are made, including the issues of the scheme determinacy, the sharer symmetry, the scheme security and the essential role of quantum channel as well as the current experimental feasibility.
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.
Two tripartite schemes are put forward with shared entanglements and LOCC for sharing an operation on a remote target sate. The first scheme uses a Bell and a symmetric W states as quantum channels, while the second replaces the symmetric W state by an asymmetric one. Both schemes are treated and compared from the aspects of quantum resource consumption, operation complexity, classical resource consumption, success probability and efficiency. It is found that, the latter scheme is better than the former one. Particularly, the sharing can be achieved only probabilistically with the first scheme deterministically with the second one.