A new kind of tripartite entangled state representation in Fock space

Optik ◽  
2013 ◽  
Vol 124 (16) ◽  
pp. 2475-2481 ◽  
Author(s):  
Gang Ren ◽  
Jian-ming Du
Keyword(s):  
Fock Space ◽  
Entangled State ◽  
Entangled State Representation ◽  
State Representation ◽  
Tripartite Entangled State

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.

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.

NEW FOUR-MODE CHARGE-RELATED ENTANGLED STATE REPRESENTATION

2003 ◽  
Vol 17 (24) ◽  
pp. 1293-1299 ◽  
Author(s):  
HONGYI FAN ◽  
OUYANG JING
Keyword(s):  
Fock Space ◽  
Optical Cavity ◽  
Energy Levels ◽  
Entangled State ◽  
Entangled State Representation ◽  
State Representation

We construct a new kind of four-mode charge-related entangled state |q,k;n,m>θϕ in Fock space, which can describe the process of photons, emitted from two energy levels in a optical cavity, being absorbed by another two levels simultanuously. The relation between |q,k;n,m>θϕ and the four-mode entangled state |η,σ,τ>θϕ (H.-Y. Fan et al., Mod. Phys. Lett.B16, 861 (2002)) is pointed out.

SOME NEW RELATIONS BETWEEN TARGET STATE AND QUANTUM TELEPORTED STATE GAINED BY VIRTUE OF THE |η> REPRESENTATION

2002 ◽  
Vol 16 (01n02) ◽  
pp. 11-18 ◽  
Author(s):  
HONGYI FAN ◽  
YUE FAN
Keyword(s):  
Quantum Teleportation ◽  
Fock Space ◽  
Entangled State ◽  
Entangled State Representation ◽  
Continuous Variables ◽  
State Representation ◽  
Natural Representation ◽  
Alternative Approach ◽  
Squeezing Operator ◽  
Target States

Based on the entangled state representation <η| in two-mode Fock space (Fan and Klauder, Phys. Rev.A49, 704 (1994)), we provide an alternative approach for analyzing quantum teleportation of continuous variables and go a step further by deriving some relations between input (target) states and teleported states. The natural representation of the two-mode squeezing operator in the |η> representation greatly simplifies our calculations.

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