New squeezing operator derived using the bipartite coherent entangled state representation

2005 ◽  
Vol 7 (12) ◽  
pp. S765-S768 ◽  
Author(s):  
Hong-yi Fan ◽  
Xu-bing Tang
Keyword(s):  
Entangled State ◽  
Entangled State Representation ◽  
State Representation ◽  
Squeezing Operator

WEYL ORDERING FOR ENTANGLED STATE REPRESENTATION

2002 ◽  
Vol 17 (05) ◽  
pp. 701-708 ◽  
Author(s):  
HONGYI FAN ◽  
YUE FAN
Keyword(s):  
Entangled State ◽  
Entangled State Representation ◽  
State Representation ◽  
Wigner Operator ◽  
Weyl Ordering ◽  
Operator Functions ◽  
Squeezing Operator

We derive a new Weyl ordering operator formula which recasts given operators into Weyl ordering. In so doing, the Weyl ordering formulation of the entangled state representation is obtained, which turns out to be the Weyl ordered Dirac δ-operator functions. The Weyl ordering of the Wigner operator and squeezing operator in entangled state representation are also deduced.

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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