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.

ENTANGLED STATE REPRESENTATION FOR A PARTICLE ON A CIRCLE STUDIED IN TERMS OF BOSONIC OPERATOR REALIZATION OF ANGULAR MOMENTUM

2006 ◽  
Vol 21 (27) ◽  
pp. 2079-2085 ◽  
Author(s):  
HONG-YI FAN
Keyword(s):  
Quantum Mechanics ◽  
Angular Momentum ◽  
Entangled States ◽  
Entangled State ◽  
Entangled State Representation ◽  
Phase Operator ◽  
State Representation ◽  
New Formalism ◽  
Bosonic Operator ◽  
Operator Realization

By introducing the bosonic operator realization of angular momentum, we establish the entangled state representation for describing quantum mechanics of a particle on a circle. The phase operator, the angular momentum eigenstates, the lowering and ascending operators for angular momentum are all well expressed in the bosonic realization with the aid of appropriate entangled states, i.e. we establish a new formalism for the quantum mechanics of a particle on a circle.

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.

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.

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