Shan-jun Ma

Quantum interference between an arbitrary-photon Fock state and a coherent state

Using the phase space method, we study the quantum interference through a Mach–Zehnder interferometer with an arbitrary-photon Fock state and a coherent state as two inputs. The statistical properties, in terms of the Wigner function, average photon number, photon number distribution and parity, are derived analytically for the field of the individual output port. These results indicate that the output state is actually a statistical mixture between a bunch of Fock state and coherent states. In addition, the phase sensitivity is also examined by using the detection scheme of intensity difference measurement.

A KIND OF NONLINEAR COHERENT-ENTANGLED STATE AND SQUEEZING PROPERTY

Based on the technique of integration within an ordered product of nonlinear Bose operators, a new kind of nonlinear coherent entangled state, which exhibits both the property of coherent state and quantum entanglement, is constructed and its application in squeezing is discussed.

FRACTIONAL HADAMARD TRANSFORM WITH CONTINUOUS VARIABLES IN THE CONTEXT OF QUANTUM OPTICS

We introduce the quantum fractional Hadamard transform with continuous variables. It is found that the corresponding quantum fractional Hadamard operator can be decomposed into a single-mode fractional operator and two single-mode squeezing operators. This is extended to the entangled case by using the bipartite entangled state representation. The new transformation presents more flexibility to represent signals in the fractional Hadamard domain with extra freedom provided by an angle and two-squeezing parameters.

NONCLASSICALITY AND DECOHERENCE OF PHOTON-ADDED THERMAL STATE

Using the normally ordered form of thermal state characteristic of average photon number nc, we introduce the photon-added thermal state (PATS) and investigate its statistical properties, such as Mandels Q-parameter, photon number distribution (PND), and Wigner function (WF). We then study its decoherence in a thermal environment with average thermal photon number

Application of Generalized EPR Entangled State in Quantum Teleportation

\bar{n}

Nonclassicality and Decoherence of Generalized Photon-Modulated Squeezed Thermal State

and dissipative coefficient κ by deriving analytical expressions of the WF. The nonclassicality is discussed in terms of the negativity of the WF. It is found that the WF is always positive when

Nonclassicality of Single-Variable Hermite Polynomial State and Its Fidelity with Squeezed Vacuum State

\kappa t\geq\kappa t_{c}=({1}/{2})\ln{(2\bar{n}+2)}/{(2\bar{n}+1)}

Quantum Fresnel Transformation Responsible for Squeezing Mechanism and Squeezed State of a Degenerate Parametric Amplifier

for any number PATS. The expression for time evolution of the PND and the tomogram of PATS are also derived analytically, which are related to hypergeometric function and single variable Hermite polynomials.