Deformation of Superoperator's Kraus Representation Derived by Weyl Correspondence and Entangled State Representation

2008 ◽  
Vol 50 (4) ◽  
pp. 879-882
Author(s):  
Hu Li-Yun ◽  
Fan Hong-Yi
Keyword(s):  
Entangled State ◽  
Entangled State Representation ◽  
State Representation ◽  
Kraus Representation ◽  
Weyl Correspondence

WEYL CORRESPONDENCE FORMALISM FOR DESCRIBING ELECTRON UNDER UNIFORM MAGNETIC FIELD STUDIED BY VIRTUE OF THE ENTANGLED STATE REPRESENTATION

2011 ◽  
Vol 25 (08) ◽  
pp. 1029-1036
Author(s):  
NAN-RUN ZHOU ◽  
LI-YUN HU ◽  
HONG-YI FAN
Keyword(s):  
Magnetic Field ◽  
Uniform Magnetic Field ◽  
Weyl Function ◽  
Quantum States ◽  
Entangled State ◽  
Entangled State Representation ◽  
State Representation ◽  
Wigner Operator ◽  
Weyl Correspondence ◽  
Quantum Hamiltonian

Based on the entangled state representation for describing electron's coordinates under uniform magnetic field, we establish a one-to-one correspondence between quantum Hamiltonian and its classical Weyl function through the introduction of Wigner operator. We also study some new important properties of Wigner function of electron's quantum states, such as its upper bound, and its relation with electron's wave function. These discussions demonstrate the beauty and elegance of the entangled state representation.

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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