Corpus ID: 237940349

Stabilizing Preparation of Quantum Gaussian States via Continuous Measurement

@inproceedings{Bao2021StabilizingPO,
  title={Stabilizing Preparation of Quantum Gaussian States via Continuous Measurement},
  author={Liying Bao and Bo Qi and D. Dong},
  year={2021}
}
This paper provides a stabilizing preparation method for quantum Gaussian states by utilizing continuous measurement. The stochastic evolution of the open quantum system is described in terms of the quantum stochastic master equation. We present necessary and sufficient conditions for the system to have a unique stabilizing steady Gaussian state. The conditions are much weaker than those existing results presented in the approach of preparing Gaussian states through environment engineering… Expand

References

SHOWING 1-10 OF 42 REFERENCES
Preparation of pure Gaussian states via cascaded quantum systems
TLDR
It is shown that any pure Gaussian state can be generated by a cascade of one-dimensional open quantum harmonic oscillators, without any direct interaction Hamiltonians between these oscillators. Expand
Quantum Fidelity for Arbitrary Gaussian States.
We derive a computable analytical formula for the quantum fidelity between two arbitrary multimode Gaussian states which is simply expressed in terms of their first- and second-order statisticalExpand
Purity of Gaussian states: Measurement schemes and time evolution in noisy channels
We present a systematic study of the purity for Gaussian states of single-mode continuous variable systems. We prove the connection of purity to observable quantities for these states, and show thatExpand
Pure Gaussian state generation via dissipation: a quantum stochastic differential equation approach
  • N. Yamamoto
  • Physics, Mathematics
  • Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences
  • 2012
TLDR
This paper describes a general Gaussian dissipative system in terms of a quantum stochastic differential equation (QSDE) so that the environment channels can be explicitly dealt with and clarifies the physical meaning of that characterization. Expand
On the Infeasibility of Entanglement Generation in Gaussian Quantum Systems via Classical Control
TLDR
A system theoretic approach is used to show that classical linear time invariant controllers cannot generate steady state entanglement in a bipartite Gaussian quantum system which is initialized in a Gaussian state. Expand
Quantum parameter estimation using general single-mode Gaussian states
We calculate the quantum Cramer--Rao bound for the sensitivity with which one or several parameters, encoded in a general single-mode Gaussian state, can be estimated. This includes in particular theExpand
Preparation of bipartite bound entangled Gaussian states in quantum optics
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 under partialExpand
Cascade and locally dissipative realizations of linear quantum systems for pure Gaussian state covariance assignment
TLDR
Two realizations of linear quantum systems for covariance assignment corresponding topure Gaussian states are presented; given any covariance matrix corresponding to a pure Gaussian state, they can construct a cascaded quantum system generating that state. Expand
Optimal Quantum Filtering and Quantum Feedback Control
Quantum mechanical systems exhibit an inherently probabilistic nature upon measurement. Using a quantum noise model to describe the stochastic evolution of the open quantum system and working inExpand
Quantum Measurement and Control
In the last two decades there has been an enormous progress in the experimental investigation of single quantum systems. This progress covers fields such as quantum optics, quantum computation,Expand
...
1
2
3
4
5
...