Probabilistic Controlled Teleportation of an Arbitrary Triplet W State

2013 ◽  
Vol 273 ◽  
pp. 800-804
Author(s):  
Zhan Ying Guo ◽  
Qing Lin He ◽  
Ming Zhe Shang
Keyword(s):  
Unitary Transformation ◽  
Bell State ◽  
Orthogonal Basis ◽  
W State ◽  
Controlled Teleportation ◽  
Total Probability ◽  
Von Neumann ◽  
Unitary Transformations ◽  
Bell State Measurements ◽  
Von Neumann Measurements

A scheme is presented to probabilistically controlled teleport an arbitrary triplet W state using three pair maximally entangled triplet W state as the quantum channel. During the teleportation procedure, the controller performs Von Neumann measurements on his particles, the sender makes orthogonal basis measurements, instead of using Bell-state measurements, and the receiver can faithfully reconstruct the original state by performing relevant unitary transformations. The total probability of successful teleportation can be improved to 20/27. unitary transformation

CONTROLLED TELEPORTATION OF AN ARBITRARY THREE-QUBIT STATE THROUGH A GENUINE SIX-QUBIT ENTANGLED STATE AND BELL-STATE MEASUREMENTS

2011 ◽  
Vol 09 (02) ◽  
pp. 763-772 ◽  
Author(s):  
YI-YOU NIE ◽  
YUAN-HUA LI ◽  
JUN-CHANG LIU ◽  
MING-HUANG SANG
Keyword(s):  
Bell State ◽  
Qubit State ◽  
Controlled Teleportation ◽  
Entangled State ◽  
Bell State Measurements

We demonstrate that a genuine six-qubit entangled state introduced by Tapiador et al. [J. Phys. A42 (2009) 415301] can be used to realize the deterministic controlled teleportation of an arbitrary three-qubit state by performing only the Bell-state 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.

Bell inequality for quNits with binary measurements

2003 ◽  
Vol 3 (2) ◽  
pp. 157-164
Author(s):  
H. Bechmann-Pasquinucci ◽  
N. Gisin
Keyword(s):  
Quantum Cryptography ◽  
Bell Inequality ◽  
The Other ◽  
Entangled State ◽  
Maximally Entangled State ◽  
Von Neumann ◽  
Chsh Inequality ◽  
Intermediate States ◽  
Von Neumann Measurements

We present a generalized Bell inequality for two entangled quNits. On one quNit the choice is between two standard von Neumann measurements, whereas for the other quNit there are N^2 different binary measurements. These binary measurements are related to the intermediate states known from eavesdropping in quantum cryptography. The maximum violation by \sqrt{N} is reached for the maximally entangled state. Moreover, for N=2 it coincides with the familiar CHSH-inequality.

scholarly journals Noise-Resistant Device-Independent Certification of Bell State Measurements

2018 ◽  
Vol 121 (25) ◽  
Author(s):  
Jean-Daniel Bancal ◽  
Nicolas Sangouard ◽  
Pavel Sekatski
Keyword(s):  
Bell State ◽  
Bell State Measurements

Unitary Transformations

1954 ◽  
Vol 6 ◽  
pp. 69-72 ◽  
Author(s):  
B. E. Mitchell
Keyword(s):  
Canonical Form ◽  
Unitary Transformation ◽  
General Pattern ◽  
Jordan Form ◽  
Unitary Matrix ◽  
Complex Matrices ◽  
Triangular Form ◽  
Unitary Transformations

We consider the problem of finding a unique canonical form for complex matrices under unitary transformation, the analogue of the Jordan form (1, p. 305, §3), and of determining the transforming unitary matrix (1, p. 298, 1. 2). The term “canonical form” appears in the literature with different meanings. It might mean merely a general pattern as a triangular form (the Jacobi canonical form (8, p. 64)). Again it might mean a certain matrix which can be obtained from a given matrix only by following a specific set of instructions (1). More generally, and this is the sense in which we take it, it might mean a form that can actually be described, which is independent of the method used to obtain it, and with the property that any two matrices in this form which are unitarily equivalent are identical.

scholarly journals Environment-induced dephasing versus von Neumann measurements in proton tunneling

2014 ◽  
Vol 90 (1) ◽  
Author(s):  
A. D. Godbeer ◽  
J. S. Al-Khalili ◽  
P. D. Stevenson
Keyword(s):  
Proton Tunneling ◽  
Von Neumann ◽  
Von Neumann Measurements

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.

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