Common eigenstates of many-particle compatible observables

Abstract

We introduce common eigenstates of many-particle compatible observables in n-mode Fock space. These states make a complete and orthogonal set and can be realized by the use of beam splitter devices. The entanglement properties of these states are exhibited, their applications in solving many-body problems and in quantum communication are shown.

The Transformations from the New Intermediate Entangled State

“…From (8), (11) and (12), we conclude that |η; θ exhibits the properties of intermediate entangled states.…”

Photon-Subtracted Two-Mode Squeezed Thermal State and Its Photon-Number Distribution

“…In addition, an important character of Jacobi polynomial can be induced by using them. From (4) and (20), we know that…”

“…Distribution functions in phase space have been a major topics in studying quantum optics and quantum statistics [1][2][3][4][5][6][7][8]. It is well known the photons of a radiation field are distributed among various states of the field.…”

Some Quantum Gate Operators for Continuum Variables in q-Deformed Coordinate Representation

“…Furthermore, with the use of (15) and the technique of integration within an ordered product (IWOP) of operators [23][24][25][26][27][28], we can also obtain the completeness relations as…”