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.

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.

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.

APPLICATION OF ENTANGLED STATE IN QUANTIZING SUPERCONDUCTING CAPACITOR MODEL IN THE PRESENCE OF A VOLTAGE BIAS AND A CURRENT BIAS

2004 ◽  
Vol 18 (02) ◽  
pp. 233-240 ◽  
Author(s):  
HONG-YI FAN
Keyword(s):  
Operator Theory ◽  
Hamiltonian Operator ◽  
Entangled State ◽  
Entangled State Representation ◽  
Phase Operator ◽  
State Representation ◽  
Voltage Bias ◽  
A Current

Based on the entangled state representation and the appropriate bosonic phase operator we develop the superconducting capacitor model in the presence of a voltage bias and a current bias. In so doing, the full Hamiltonian operator theory for a superconducting barrier is established.

New Parameterized Coherent-Entangled State Representation and Its Applications

2013 ◽  
Vol 52 (7) ◽  
pp. 2255-2262
Author(s):  
Wen-Wei Luo ◽  
Xiang-Guo Meng ◽  
Qin Guo ◽  
Shan-Jun Ma
Keyword(s):  
Entangled State ◽  
Entangled State Representation ◽  
State Representation
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