Probabilistic teleportation of an arbitrary two-particle state by a partially entangled three-particle GHZ state and W state

2004 ◽  
Vol 231 (1-6) ◽  
pp. 281-287 ◽  
Author(s):  
Hong-Yi Dai ◽  
Ping-Xing Chen ◽  
Cheng-Zu Li
Keyword(s):  
Ghz State ◽  
W State ◽  
Particle State ◽  
Probabilistic Teleportation

The computational power of the W and GHZ states

2006 ◽  
Vol 6 (2) ◽  
pp. 173-183
Author(s):  
E. D'Hondt ◽  
P. Panangaden
Keyword(s):  
Pure State ◽  
Lie Symmetry ◽  
Leader Election ◽  
Ghz State ◽  
W State ◽  
Computational Power ◽  
Post Processing ◽  
Distributed Consensus ◽  
Quantum Networks ◽  
Impossibility Results

It is well understood that the use of quantum entanglement significantly enhances the computational power of systems. Much of the attention has focused on Bell states and their multipartite generalizations. However, in the multipartite case it is known that there are several inequivalent classes of states, such as those represented by the W-state and the GHZ-state. Our main contribution is a demonstration of the special computational power of these states in the context of paradigmatic problems from classical distributed computing. Concretely, we show that the W-state is the only pure state that can be used to exactly solve the problem of leader election in anonymous quantum networks. Similarly we show that the GHZ-state is the only one that can be used to solve the problem of distributed consensus when no classical post-processing is considered. These results generalize to a family of W- and GHZ-like states. At the heart of the proofs of these impossibility results lie symmetry arguments.

MULTIPLE CONCURRENCE OF MULTI-PARTITE QUANTUM SYSTEM

2010 ◽  
Vol 08 (07) ◽  
pp. 1169-1177 ◽  
Author(s):  
HUA WU ◽  
XIN ZHAO ◽  
YAN-SONG LI ◽  
GUI-LU LONG
Keyword(s):  
Quantum System ◽  
Pure State ◽  
Arbitrary Number ◽  
Cluster State ◽  
Ghz State ◽  
W State ◽  
Entanglement Property ◽  
Analytical Results ◽  
Global Entanglement ◽  
Number Of Particles

We propose a new way of description of the global entanglement property of a multi-partite pure state quantum system. Based on the idea of bipartite concurrence, by dividing the multi-partite quantum system into two subsystems, a combination of all the bipartite concurrences of a multi-partite quantum system is used to describe the entanglement property of the multi-partite system. We derive the analytical results for GHZ-state, W-state with arbitrary number of qubits, and cluster state with the number of particles no greater than 6.

Evolution of Genuine Multipartite Entanglement of Specific and Random States Under non-Markovian Noise

2014 ◽  
Vol 21 (04) ◽  
pp. 1450008 ◽  
Author(s):  
Mazhar Ali
Keyword(s):  
Mixed State ◽  
Weighted Graph ◽  
Ghz State ◽  
W State ◽  
Multipartite Entanglement ◽  
Fragile State ◽  
Graph States ◽  
Random States ◽  
Genuine Multipartite Entanglement

We study the dynamics of genuine multipartite entanglement under non-Markovian noise. Using a computable entanglement monotone for multipartite systems, we investigate a system of three qubits each of which is individually exposed to classical Ornstein–Uhlenbeck noise. We found that the W state mixed with the maximally mixed state is the most fragile state, whereas a similar mixture of GHZ state exhibits robust behaviour. We compare dynamics of these states with dynamics of similar mixtures of random states and weighted graph states. We also discuss the limiting cases.

N-PARTICLE GENERAL W STATE AND PROBABILISTIC TELEPORTATION

2007 ◽  
Vol 21 (25) ◽  
pp. 4387-4397 ◽  
Author(s):  
YONG-CHANG HUANG ◽  
M. LIU ◽  
MENG SUO
Keyword(s):  
Unitary Transformation ◽  
General Scheme ◽  
Transformation Matrix ◽  
The Other ◽  
W State ◽  
General State ◽  
The Past ◽  
Probabilistic Teleportation ◽  
Entanglement States ◽  
Projection Transformation

We show a general W state of N-particle entanglement. Using four pairs of two-particle non-maximally entanglement states, we give a general scheme of probabilistic teleportation of the four-particle general W state by constructing a 5 × 5 projection transformation matrix different from the other references. The general scheme overcomes the difficulty of having to introduce an auxiliary state |0>A in order to get a complex unitary transformation matrix. Thus, we need not perform more operations and measurements than the past researches. We then give a general scheme of the probabilistic teleportation of the N-particle general W state by means of N pairs of general entanglement particles, and the scheme may be applied to all the researches and calculation about the probabilistic teleportation of N-particle entanglement general state by means of N pairs of general entanglement particles, and may simplify their researches, calculation, physical operations and measurements.

MULTIPARTY QUANTUM STATE SHARING OF m-QUBIT STATE

2007 ◽  
Vol 18 (11) ◽  
pp. 1699-1706 ◽  
Author(s):  
LI DONG ◽  
XIAOMING XIU ◽  
YAJUN GAO
Keyword(s):  
Quantum State ◽  
Unitary Transformation ◽  
Bell State ◽  
Ghz State ◽  
Qubit State ◽  
Particle State ◽  
Quantum State Sharing ◽  
Classical Information ◽  
Computational Basis ◽  
Bell State Measurements

A scheme for quantum state sharing (QSTS) of a one-particle state is proposed for a three-particle GHZ state utilized as a quantum channel. After the sender (Alice) makes Bell-state measurements (BM) on her particles, and the controller (Charlie) performs a computational basis measurement (CM), the recipient (Bob) only needs to carry out a unitary transformation of the classical information from the sender and the controller. Finally, the scheme is generalized to multiparty QSTS of a one-qubit state with n agents and an m-qubit state with n agents.

TELEPORTING AN ARBITRARY TWO-PARTICLE STATE VIA W OR W-LIKE STATE

2008 ◽  
Vol 06 (05) ◽  
pp. 1041-1049
Author(s):  
KE-XIANG HU ◽  
YAN-WEI WANG ◽  
BAI-QI JIN ◽  
YI-ZHUANG ZHENG
Keyword(s):  
Quantum Teleportation ◽  
W State ◽  
Particle State ◽  
Quantum Channels

In this paper, we present a scheme for quantum teleportation of an arbitrary two-particle state via entangled W state or W-like state channels. We find that the success of teleportation is probabilistic and the corresponding probability only relates to the smaller coefficients of the quantum channels. We further show that the quantum teleportation could achieve higher probability using W-like state as a channel than the W state.

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