THEORY OF TOMOGRAPHY FOR THE WIGNER FUNCTION OF TRIPARTITE ENTANGLED SYSTEMS

2003 ◽  
Vol 17 (30) ◽  
pp. 5737-5747 ◽  
Author(s):  
HONG-YI FAN ◽  
NIAN-QUAN JIANG
Keyword(s):  
Distribution Function ◽  
Wigner Function ◽  
Physical Meaning ◽  
Wigner Distribution ◽  
Entangled State ◽  
Entangled State Representation ◽  
State Representation ◽  
Wigner Distribution Function ◽  
Wigner Operator ◽  
Tripartite Entangled State

Based on the observation that for an entangled-particles system, the physical meaning of the Wigner distribution function should lie in that its marginal distributions would give the probability of finding the particles in an entangled way, we establish a tomography theory for the Wigner function of tripartite entangled systems. The newly constructed tripartite entangled state representation of the three-mode Wigner operator plays a central role in realizing this goal.

MULTIPARTITE COHERENT ENTANGLED STATE OF CONTINUOUS VARIABLES: STRUCTURE AND GENERATION

2009 ◽  
Vol 24 (14) ◽  
pp. 2689-2701 ◽  
Author(s):  
LI-YUN HU ◽  
HONG-YI FAN
Keyword(s):  
Wigner Function ◽  
Quantum Teleportation ◽  
Entangled State ◽  
Entangled State Representation ◽  
Continuous Variables ◽  
State Representation ◽  
New Approach ◽  
Beam Splitters ◽  
Multipartite Entangled State

Motivated by the new approach to finding multipartite entangled state representation [Int. J. Mod. Phys. A22, 4481 (2007)], we construct the multipartite coherent entangled state (MCES) of continuous variables which exhibits both coherent state's and entangled state's properties. A protocol of generating such an MCES is proposed by using beam splitters in a sequence. Applications of MCES in studying generalized Wigner function, squeezing and quantum teleportation are discussed.

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