Analysis and construction of four-party deterministic operation sharing with a generalized seven-qubit Brown state

2017 ◽  
Vol 31 (24) ◽  
pp. 1750190 ◽  
Author(s):  
Siqi Zhou ◽  
Mingqiang Bai ◽  
Changyue Zhang
Keyword(s):  
Single Qubit ◽  
Theoretical Scheme ◽  
Brown State ◽  
State Formula ◽  
Intrinsic Efficiency ◽  
Qubit Operation

In this paper, a four-party scheme is presented for remotely sharing a single-qubit operation with the help of LOCC and the generalized seven-qubit Brown state [Formula: see text]. Besides, we consider a theoretical scheme for four-party QOS by using the generalized [Formula: see text]-qubit Brown state [Formula: see text] proposed by Muralidharan and Panigrahi (Phys. Rev. A 77 (2008) 032321). Furthermore, some concrete discussions are made to study its important features, including the scheme determinacy, the sharer symmetry, the scheme security, the nowaday’s experimental feasibility as well as the intrinsic efficiency.

Four-party quantum operation sharing with composite quantum channel in Bell and Yeo–Chua product state

2020 ◽  
pp. 2150024
Author(s):  
Zhanjun Zhang ◽  
Hang Xing ◽  
Biaoliang Ye ◽  
Chuanmei Xie
Keyword(s):  
Quantum Channel ◽  
The State ◽  
Product State ◽  
Quantum Operation ◽  
Present Scheme ◽  
Single Qubit ◽  
Sharing Scheme ◽  
Intrinsic Efficiency ◽  
Entanglement Structure ◽  
Qubit Operation

A four-party single-qubit operation sharing scheme is put forward by utilizing the Bell and Yeo–Chua product state in an entanglement structure as the composite quantum channel. Four features of the scheme are discussed and confirmed, including its determinacy, symmetry, and security as well as the scheme experimental feasibility. Moreover, some concrete comparisons between our present scheme and a previous scheme [H. Xing et al., Quantum Inf. Process. 13 (2014) 1553] are made from the aspects of quantum and classical resource consumption, necessary operation complexity, and intrinsic efficiency. It is found that our present scheme is more superior than that one. In addition, the essential reason why the employed state in the entanglement structure is applicable for sharing an arbitrary single-qubit operation among four parties is revealed via deep analyses. With respect to the essential reason, the capacity of the product state in quantum operation sharing (QOS) is consequently shown by simple presenting the corresponding schemes with the state in other entanglement structures.

Enhancing entanglement of two-qubit states from amplitude damping channel using single-qubit unitary operation and local filtering operation

2021 ◽  
pp. 2150007
Author(s):  
Xiao-Lan Zong ◽  
Wei Song ◽  
Ming Yang ◽  
Zhuo-Liang Cao
Keyword(s):  
Sudden Death ◽  
Entanglement Sudden Death ◽  
Initial State ◽  
Amplitude Damping ◽  
Single Qubit ◽  
Death Time ◽  
Amplitude Damping Channel ◽  
State Formula ◽  
Qubit Operation ◽  
Local Filtering

We propose a scheme to enhance entanglement from amplitude damping or correlated amplitude damping decoherence. We show that entanglement sudden death time can be prolonged by the initial single-qubit operation combined with local filtering operation. For the amplitude damping channel case, we give the optimal single-qubit operation for arbitrary pure state [Formula: see text]. For the correlated amplitude damping channel case, we find that single-qubit operation on the initial state can not only enhance the final entanglement but also avoid entanglement sudden death. Compared to the previous schemes, the optimal operations and local filtering operations used in our scheme are independent with the decay parameters of the environment.

The rotation scheme of quantum states based on EPR pairs

2022 ◽  
Author(s):  
Si-Yu Xiong ◽  
Liang Tang ◽  
Qun Zhang ◽  
Dan Xue ◽  
Ming-Qiang Bai ◽  
...  
Keyword(s):  
Ground State ◽  
Short Distance ◽  
Small Range ◽  
Transmission Scheme ◽  
Single Qubit ◽  
Unknown State ◽  
Rotation Scheme ◽  
Complete State ◽  
State Formula ◽  
Bidirectional Transmission

In this paper, we give a further discussion of short-distance teleportation. We propose bidirectional, rotation and cyclic rotation teleportation schemes for short-distance participants, respectively. In our bidirectional transmission scheme, the quantum channel is still an EPR pair and an auxiliary qubit in the ground state [Formula: see text], and two participants can transmit an unknown single-qubit state to each other. In the rotation and cyclic rotation schemes, bidirectional transmission is performed between two adjacent participants in turn. The unknown state qubits of the participants collapse into the ground state after one bidirectional transmission, and can be used as auxiliary qubits in subsequent bidirectional transmission. After a complete state rotation, each participant has held the unknown state of the other participants, and the last one owned by the participant is still the original unknown state. Although the schemes we proposed are applicable to a small range of transmission, they have certain advantages in saving quantum resources.

Controlled Remote Implementation of an Arbitrary Single-Qubit Operation with Partially Entangled Quantum Channel

2017 ◽  
Vol 56 (4) ◽  
pp. 1085-1095 ◽  
Author(s):  
Jun-You Lin ◽  
Jun-Gang He ◽  
Yan-Chun Gao ◽  
Xue-Mei Li ◽  
Ping Zhou
Keyword(s):  
Quantum Channel ◽  
Single Qubit ◽  
Qubit Operation

Cluster-state preparation in thermal cavities without single-qubit operation

2008 ◽  
Vol 17 (1) ◽  
pp. 43-48 ◽  
Author(s):  
Zhang Xiao-Long ◽  
Feng Mang ◽  
Gao Ke-Lin
Keyword(s):  
Cluster State ◽  
State Preparation ◽  
Single Qubit ◽  
Qubit Operation

Tripartite quantum operation sharing with six-qubit highly entangled state

2021 ◽  
pp. 2150034
Author(s):  
Zhanjun Zhang
Keyword(s):  
Essential Role ◽  
The State ◽  
Entangled State ◽  
Quantum Operation ◽  
Single Qubit ◽  
Experimental Implementation ◽  
Distant Target ◽  
The Given ◽  
Target Qubit ◽  
Qubit Operation

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.

REMOTE IMPLEMENTATION OF AN UNKNOWN SINGLE-QUBIT OPERATION BY DIFFERENT DIMENSIONAL QUANTUM CHANNEL

2012 ◽  
Vol 10 (07) ◽  
pp. 1250074 ◽  
Author(s):  
YOU-BANG ZHAN ◽  
PENG-CHENG MA ◽  
QUN-YONG ZHANG
Keyword(s):  
Quantum Channel ◽  
Quantum Control ◽  
High Dimensional ◽  
Entangled State ◽  
Local Transformation ◽  
Single Qubit ◽  
Unit Successful Probability ◽  
Successful Probability ◽  
Qubit Operation ◽  
Main Strategy

We present two novel protocols for remote implementation of an unknown single-qubit operation with an EPR pair and a high-dimensional entangled state as the quantum channel, without and with quantum control. The main strategy of the protocols is teleportation of an unknown single-qubit operation, which consists of an usual teleportation of an arbitrary single-qubit state, nonsymmetric basis measurement, and corresponding local transformation. It is shown that the teleportation of the quantum operation can be implemented with unit successful probability.

Sign in / Sign up

Export Citation Format

Share Document