# ENTANGLEMENT SHARING: FROM QUBITS TO GAUSSIAN STATES

@article{Adesso2005ENTANGLEMENTSF, title={ENTANGLEMENT SHARING: FROM QUBITS TO GAUSSIAN STATES}, author={Gerardo Adesso and Fabrizio Illuminati}, journal={International Journal of Quantum Information}, year={2005}, volume={04}, pages={383-393} }

It is a central trait of quantum information theory that there exist limitations to the free sharing of quantum correlations among multiple parties. Such monogamy constraints have been introduced in a landmark paper by Coffman, Kundu and Wootters, who derived a quantitative inequality expressing a trade-off between the couplewise and the genuine tripartite entanglement for states of three qubits. Since then, a lot of efforts have been devoted to the investigation of distributed entanglement in…

## 15 Citations

### Continuous-variable quantum information with three-mode Gaussian states: allotment,trade-off, teleportation, and telecloning

- Physics, Computer Science2007 First International Conference on Quantum, Nano, and Micro Technologies (ICQNM'07)
- 2007

A simple procedure is introduced to produce pure three-mode Gaussian states with arbitrary entanglement structure (upon availability of an initial single-mode squeezed state) and the suitability of the considered tripartite entangled states to the implementation of quantum information and communication protocols with continuous variables is discussed.

### Monogamy inequality for distributed gaussian entanglement.

- PhysicsPhysical review letters
- 2007

We show that for all n-mode Gaussian states of continuous variable systems, the entanglement shared among n parties exhibits the fundamental monogamy property. The monogamy inequality is proven by…

### Optical state engineering, quantum communication, and robustness of entanglement promiscuity in three-mode Gaussian states

- Physics, Computer Science
- 2007

We present a novel, detailed study on the usefulness of three-mode Gaussian states for realistic processing of continuous variable (CV) quantum information, with a particular emphasis on the…

### Continuous Variable Quantum Information: Gaussian States and Beyond

- Computer ScienceOpen Syst. Inf. Dyn.
- 2014

The basic notions needed to understand Gaussian states and Gaussian operations are defined, and emphasis is placed on the mathematical structure combining notions of algebra and symplectic geometry fundamental to a complete understanding of Gaussian informatics.

### Genuine multipartite entanglement of symmetric Gaussian states: Strong monogamy, unitary localization, scaling behavior, and molecular sharing structure

- Physics
- 2008

We investigate the structural aspects of genuine multipartite entanglement in Gaussian states of continuous variable systems. Generalizing the results of [Adesso & Illuminati, Phys. Rev. Lett. 99,…

### Entanglement in continuous-variable systems: recent advances and current perspectives

- Physics
- 2007

We review the theory of continuous-variable entanglement with special emphasis on foundational aspects, conceptual structures and mathematical methods. Much attention is devoted to the discussion of…

### Strong monogamy conjecture for multiqubit entanglement: the four-qubit case.

- PhysicsPhysical review letters
- 2014

This work defines a set of monogamy inequalities sharpening the conventional Coffman-Kundu-Wootters constraints, and provides analytical proofs of their validity for relevant classes of states.

### Monogamy of the entanglement of formation

- PhysicsPhysical Review A
- 2019

We show that any measure of entanglement that on pure bipartite states is given by a strictly concave function of the reduced density matrix is monogamous on pure tripartite states. This includes the…

### Continuous-variable entanglement sharing in noninertial frames

- Physics
- 2007

We study the distribution of entanglement between modes of a free scalar field from the perspective of observers in uniform acceleration. We consider a two-mode squeezed state of the field from an…

### Quantum fidelity evolution of Penning trap coherent states in an asymmetric open quantum system

- PhysicsQuantum Inf. Comput.
- 2019

This work has studied the evolution of the quantum fidelity as a function of the parameters of the system, the environment and the initial state, in the framework of open systems theory and observed that fidelity is a decreasing function ofThe temperature and dissipation coefficient for both two and three-mode states.

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