Mother wavelets for complex wavelet transform derived by Einstein-Podolsky-Rosen entangled state representation

2007 ◽  
Vol 32 (5) ◽  
pp. 554 ◽  
Author(s):  
Hong-Yi Fan ◽  
Hai-Liang Lu
Keyword(s):  
Wavelet Transform ◽  
Entangled State ◽  
Entangled State Representation ◽  
Complex Wavelet Transform ◽  
State Representation ◽  
Einstein Podolsky Rosen ◽  
Complex Wavelet ◽  
Mother Wavelets

EINSTEIN–PODOLSKY–ROSEN ENTANGLED STATE REPRESENTATION FOR ANGULAR-MOMENTUM AND RADIUS ENTANGLEMENT

2004 ◽  
Vol 18 (07) ◽  
pp. 1043-1053 ◽  
Author(s):  
HONG-YI FAN ◽  
JUN-HUA CHEN
Keyword(s):  
Angular Momentum ◽  
Physical System ◽  
Total Momentum ◽  
Entangled State ◽  
Quantum Mechanical ◽  
Entangled State Representation ◽  
State Representation ◽  
Common Eigenvector ◽  
Einstein Podolsky Rosen ◽  
The Common

By comparison with the Einstein–Podolsky–Rosen coordinate-momentum entangled state, which is the common eigenvector of two particles' relative coordinate and total momentum, we construct a new quantum mechanical entangled state representation, namely, the entangled state representation of angular-momentum and radius. A concrete physical system which can embody the new quantum entanglement is analyzed.

DESCRIBING QUANTUM TELEPORTATION OF MIXED STATES WITH CONTINUUM VARIABLES BY THE ENTANGLED STATE REPRESENTATION

2010 ◽  
Vol 24 (10) ◽  
pp. 1271-1277 ◽  
Author(s):  
LI-YUN HU ◽  
HONG-YI FAN
Keyword(s):  
Quantum Channel ◽  
Quantum Teleportation ◽  
Unitary Transformation ◽  
Entangled State ◽  
Entangled State Representation ◽  
Mixed States ◽  
State Representation ◽  
Measurement Result ◽  
Einstein Podolsky Rosen

By virtue of the entangled state representation, we show that the quantum teleportated state in Bob, after Alice makes an Einstein–Podolsky–Rosen measurement and Bob makes an appropriate unitary transformation on hearing Alice's measurement result via a classical channel, is described by [Formula: see text] where F(η)≡23〈η|ρ23|η〉23, ρ23 stands for a quantum channel in 2–3 modes, |η〉23 is the bipartite entangled state, and [Formula: see text] is a displacement transform performed by Bob.

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