• Corpus ID: 252367776

Gaussian entanglement witness and refined Werner-Wolf criterion for continuous variables

@inproceedings{Chen2022GaussianEW,
  title={Gaussian entanglement witness and refined Werner-Wolf criterion for continuous variables},
  author={Xiao-yu Chen and Maoke Miao and Rui Yin and Jiantao Yuan},
  year={2022}
}
We use matched quantum entanglement witnesses to study the separable criteria of continuous variable states. The witness can be written as an identity operator minus a Gaussian operator. The optimization of the witness then is transformed to an eigenvalue problem of a Gaussian kernel integral equation. It follows a separable criterion not only for symmetric Gaussian quantum states, but also for non-Gaussian states prepared by photon adding to or/and subtracting from symmetric Gaussian states… 
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References

SHOWING 1-10 OF 33 REFERENCES

Detecting and estimating continuous-variable entanglement by local orthogonal observables.

A family of entanglement witnesses based on continuous-variable local orthogonal observables (CVLOOs) to detect and estimateEntanglement of Gaussian and non-Gaussian states, especially for bound entangled states is presented.

Hierarchy of Nonlinear Entanglement Dynamics for Continuous Variables.

The proposed criteria detect the nonpositive-partial-transposition inseparability of higher-order moments of states, which provides a systematic framework for the characterization of this kind of entanglement.

Non-Gaussian Quantum States and Where to Find Them

Gaussian states have played on important role in the physics of continuous-variable quantum systems. They are appealing for the experimental ease with which they can be produced, and for their…

Optimal entanglement witnesses for continuous-variable systems

This paper is concerned with all tests for continuous-variable entanglement that arise from linear combinations of second moments or variances of canonical coordinates, as they are commonly used in…

Fock-space inseparability criteria of bipartite continuous-variable quantum states

We prove that previous various forms of the inseparability of a Gaussian state are equivalent to the negativity of a partial transposed density matrix in the one-photon Fock subspace. We give an…

Uncertainty inequalities as entanglement criteria for negative partial-transpose States.

It is shown that the fulfillment of uncertainty relations is a sufficient criterion for a quantum-mechanically permissible state and generalized entanglement criteria are derived from the Schrödinger-Robertson inequalities for bipartite continuous-variable states.

Fisher information and entanglement of non-Gaussian spin states

A general method is developed to extract the Fisher information, which reveals that the quantum dynamics of a classically unstable system creates quantum states that are not spin squeezed but nevertheless entangled, which quantifies metrologically useful entanglement.

Matched witness for multipartite entanglement

The necessary and sufficient criterion of separability for three qubit X states is given as an example to illustrate the procedure of finding a criterion and the result is utilized to obtain the noise tolerance of W state.

Entropic entanglement criteria for continuous variables.

We derive several entanglement criteria for bipartite continuous variable quantum systems based on the Shannon entropy. These criteria are more sensitive than those involving only second-order…

Greenberger-Horne-Zeilinger nonlocality in phase space

We show that the continuous-variable analogues to the multipartite entangled Greenberger-Horne-Zeilinger states of qubits violate Bell-type inequalities imposed by local realistic theories. Our…