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.

NEW APPROACH FOR FINDING MULTIPARTITE ENTANGLED STATE REPRESENTATIONS VIA THE IWOP TECHNIQUE

2007 ◽  
Vol 22 (24) ◽  
pp. 4481-4494 ◽  
Author(s):  
HONG-YI FAN ◽  
SHU-GUANG LIU
Keyword(s):  
Entangled State ◽  
Iwop Technique ◽  
Entangled State Representation ◽  
Completeness Relation ◽  
State Representation ◽  
Gaussian Form ◽  
New Approach ◽  
The Iwop Technique ◽  
Multipartite Entangled State

We present a new approach to finding multipartite entangled state representation by decomposing normally ordered Gaussian-form operator in completeness relation, the technique of integration within an ordered product (IWOP) of operators is essential in this searching.

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.

ENERGY SPECTRUM OF MOTT–WANNIER EXCITON STUDIED BY VIRTUE OF THE EXCITON ENTANGLED STATE REPRESENTATION INSTEAD OF K·P PERTURBATION THEORY

2005 ◽  
Vol 19 (13n14) ◽  
pp. 637-642 ◽  
Author(s):  
HONG-YI FAN ◽  
HUI ZOU ◽  
YUE FAN ◽  
QIU-YU LIU
Keyword(s):  
Perturbation Theory ◽  
Energy Spectrum ◽  
Entangled State ◽  
Entangled State Representation ◽  
State Representation ◽  
New Approach

We introduce the exciton entangled state. We show that the energy spectrum of Mott–Wannier exciton can be exactly derived by virtue of the entangled state representation. In contrast to the K · P perturbation theory this new approach seems non-perturbative, direct and exact.

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.

OPERATOR-SUM REPRESENTATION OF DENSITY OPERATORS AS SOLUTIONS TO MASTER EQUATIONS OBTAINED VIA THE ENTANGLED STATE APPROACH

2008 ◽  
Vol 22 (25) ◽  
pp. 2435-2468 ◽  
Author(s):  
HONG-YI FAN ◽  
LI-YUN HU
Keyword(s):  
Point Of View ◽  
Master Equations ◽  
Entangled State ◽  
Entangled State Representation ◽  
State Representation ◽  
Partial Trace ◽  
New Approach ◽  
Density Operators ◽  
Phase Sensitive ◽  
System Mode

We solve various master equations to obtain density operators' infinite operator-sum representation via a new approach, i.e., by virtue of the thermo-entangled state representation that has a fictitious mode as a counterpart mode of the system mode. The corresponding Kraus operators from the point of view of quantum channel are derived, whose normalization conditions are proved. Miscellaneous characters possessed by different quantum channels, such as decoherence, phase diffusion, damping, and amplification, can be shown explicitly in the entangled state representation of the density operators. Squeezing transformation is applied to the density operator for decoherence to generate a master equation for describing the phase sensitive process. Partial trace method for deriving new density operators is also introduced. Throughout our discussion, the technique of integration within an ordered product (IWOP) of operators is fully used.

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