23 citations · 86 across the 9 of their papers we have counts for
9 papers
Numerical detection of Gaussian entanglement and its application to the identification of bound entangled Gaussian states
Shan Ma, Shibei Xue, Yu Guo +1
We present a numerical method for solving the separability problem of Gaussian quantum states in continuous-variable quantum systems. We show that the separability problem can be c…
Preparation of bipartite bound entangled Gaussian states in quantum optics
Shan Ma, Matthew J. Woolley, Xiaojun Jia +1
The positivity of the partial transpose is in general only a necessary condition for separability. There exist quantum states that are not separable, but nevertheless are positive…
Existence and boundary asymptotic behavior of large solutions of Hessian equations
Shanshan Ma, Dongsheng Li
In this paper, we establish the existence of large solutions of Hessian equations and obtain a new boundary asymptotic behavior of solutions.
A Derivation of Moment Evolution Equations for Linear Open Quantum Systems
Shan Ma, Matthew J. Woolley, Ian R. Petersen
Given a linear open quantum system which is described by a Lindblad master equation, we detail the calculation of the moment evolution equations from this master equation. We stres…
Pure Gaussian states from quantum harmonic oscillator chains with a single local dissipative process
Shan Ma, Matthew J. Woolley, Ian R. Petersen +1
We study the preparation of entangled pure Gaussian states via reservoir engineering. In particular, we consider a chain consisting of quantum harmonic oscillators wh…
Pure Gaussian quantum states from passive Hamiltonians and an active local dissipative process
Shan Ma, Matthew J. Woolley, Ian R. Petersen +1
We investigate the problem of preparing a pure Gaussian state via reservoir engineering. In particular, we consider a linear quantum system with a passive Hamiltonian and with a si…
Cascade and locally dissipative realizations of linear quantum systems for pure Gaussian state covariance assignment
Shan Ma, Matthew J. Woolley, Ian R. Petersen +1
This paper presents two realizations of linear quantum systems for covariance assignment corresponding to pure Gaussian states. The first one is called a cascade realization; given…
Linear quantum systems with diagonal passive Hamiltonian and a single dissipative channel
Shan Ma, Ian R. Petersen, Matthew J. Woolley
Given any covariance matrix corresponding to a so-called pure Gaussian state, a linear quantum system can be designed to achieve the assigned covariance matrix. In most cases, howe…
Preparation of Pure Gaussian States via Cascaded Quantum Systems
Shan Ma, Matthew J. Woolley, Ian R. Petersen +1
This paper provides an alternative approach to the problem of preparing pure Gaussian states in a linear quantum system. It is shown that any pure Gaussian state can be generated b…