Entangled Fractional Fourier Transform for the Multipartite Entangled State Representation

2006 ◽  
Vol 45 (6) ◽  
pp. 1097-1101 ◽  
Author(s):  
Qian Xiao-Qing ◽  
Song Tong-Qiang
Keyword(s):  
Fourier Transform ◽  
Fractional Fourier Transform ◽  
Entangled State ◽  
Entangled State Representation ◽  
State Representation ◽  
Multipartite Entangled State

NEW n-MODE BOSE OPERATOR REALIZATION OF SU(2) LIE ALGEBRA AND ITS APPLICATION IN ENTANGLED FRACTIONAL FOURIER TRANSFORM

2009 ◽  
Vol 24 (08) ◽  
pp. 615-624 ◽  
Author(s):  
HONG-YI FAN ◽  
SHU-GUANG LIU
Keyword(s):  
Fourier Transform ◽  
Lie Algebra ◽  
Fractional Fourier Transform ◽  
Wave Functions ◽  
Entangled State ◽  
Quantum Mechanical ◽  
Mechanical Wave ◽  
Bose Operator ◽  
Operator Realization ◽  
Multipartite Entangled State

We introduce a new n-mode Bose operator realization of SU(2) Lie algebra and link it to the two mutually conjugate multipartite entangled state representations. In so doing we are naturally lead to the n-mode entangle fractional Fourier transform (EFFT), which provides us with a convenient way to deriving the EFFT of quantum-mechanical wave functions.

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.

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.

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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