On the Entangled Fractional Fourier Transform in Tripartite Entangled State Representation

2003 ◽  
Vol 40 (1) ◽  
pp. 39-44 ◽  
Author(s):  
Fan Hong-Yi ◽  
Jiang Nian-Quan
Keyword(s):  
Fourier Transform ◽  
Fractional Fourier Transform ◽  
Entangled State ◽  
Entangled State Representation ◽  
State Representation ◽  
Tripartite Entangled State

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.

TRIPARTITE ENTANGLED STATE REPRESENTATION AND ITS APPLICATION IN QUANTUM TELEPORTATION

2002 ◽  
Vol 16 (30) ◽  
pp. 1193-1200 ◽  
Author(s):  
HONGYI FAN ◽  
NIANQUAN JIANG ◽  
HAILIANG LU
Keyword(s):  
Fock Space ◽  
Entangled State ◽  
Entangled State Representation ◽  
Squeezed State ◽  
State Representation ◽  
Schmidt Decomposition ◽  
Tripartite Entangled State ◽  
Relative Coordinates ◽  
The Common ◽  
Set Up

We set up a tripartite entangled state representation |p, χ2, χ3> in three-mode Fock space which is composed of the common eigenvectors of three particles' relative coordinates X1 - X2 and X1 - X3 as well as the total momentum P1 + P2 + P3. The Schmidt decomposition of |p, χ2, χ3 > is made and its application in quantum teleporting a two-particle entangled state or a two-mode squeezed state is analyzed.

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