03.05.+c Characterization and classification of entanglement

Absolutely maximally entangled states, combinatorial designs, and multiunitary matrices

Date: 
2015-07-09 - 2015-09-15
Author(s): 

Dardo Goyeneche, Daniel Alsina, José I. Latorre, Arnau Riera, Karol Życzkowski

Reference: 

Phys. Rev. A 92, 032316

Absolutely maximally entangled (AME) states are those multipartite quantum states that carry absolute maximum entanglement in all possible bipartitions. AME states are known to play a relevant role in multipartite teleportation, in quantum secret sharing, and they provide the basis novel tensor networks related to holography.

Sufficient separability criteria and linear maps

Date: 
2016-02-22 - 2016-04-25
Author(s): 

Maciej Lewenstein, Remigiusz Augusiak, Dariusz Chruściński, Swapan Rana, Jan Samsonowicz

Reference: 

Phys. Rev. A 93, 042335

We study families of positive and completely positive maps acting on a bipartite system C^M \otimes C^N (with M<=N). The maps have a property that, when applied to any state (of a given entanglement class), result in

Sufficient separability criteria and linear maps

Date: 
2016-02-22 - 2016-04-25
Author(s): 

Maciej Lewenstein, Remigiusz Augusiak, Dariusz Chruściński, Swapan Rana, Jan Samsonowicz

Reference: 

Phys. Rev. A 93, 042335

We study families of positive and completely positive maps acting on a bipartite system C^M \otimes C^N (with M<=N). The maps have a property that, when applied to any state (of a given entanglement class), result in

Generation and confirmation of a (100 × 100)-dimensional entangled quantum system

Date: 
2014-02-24
Author(s): 

Mario Krenn, Marcus Huber, Robert Fickler, Radek Lapkiewicz, Sven Ramelow, Anton Zeilinger

Entangled quantum systems have properties that have fundamentally overthrown the classical worldview. Increasing the complexity of entangled states by expanding their dimensionality allows the implementation of novel fundamental tests of nature, and moreover also enables genuinely new protocols for quantum information processing.

Extracting entanglement from identical particles

Date: 
2013-12-16
Author(s): 

N. Killoran, M. Cramer and M. B. Plenio

Reference: 

Physical Review Letters 112, 150501 (2014)

Identical particles and entanglement are both fundamental components of quantum mechanics. However, when identical particles are condensed in a single spatial mode, the standard notions of entanglement, based on clearly identifiable subsystems, break down. This has led many to conclude that such systems have limited value for quantum information tasks, compared to distinguishable particle systems.

Dissociation and annihilation of multipartite entanglement structure in dissipative quantum dynamics

Date: 
2013-12-23
Author(s): 

Sergey N. Filippov, Alexey A. Melnikov and Mário Ziman

Reference: 

Phys. Rev. A 88, 062328 (2013)

We study the dynamics of the entanglement structure of a multipartite system experiencing a dissipative evolution. We characterize the processes leading to a particular form of output-system entanglement and provide a recipe for their identification via concatenations of particular linear maps with entanglement-breaking operations. We illustrate the applicability of our approach by considering local and global depolarizing noises acting on general multiqubit states.

Entanglement classes of permutation-symmetric qudit states: Symmetric operations suffice

Date: 
2013-07-31 - 2013-12-05
Author(s): 

Piotr Migdał, Javier Rodriguez-Laguna, Maciej Lewenstein

Reference: 

Phys. Rev. A 88, 012335 (2013)

We analyze entanglement classes for permutation-symmetric states for n

Matrix product states with long-range localizable entanglement

Date: 
2012-12-14
Author(s): 

T. B. Wahl, D. Pérez-García, and J. I. Cirac

Reference: 

URL: http://link.aps.org/doi/10.1103/PhysRevA.86.062314
DOI: 10.1103/PhysRevA.86.062314
PACS: 03.67.Mn, 03.65.Ud, 75.10.Pq, 71.10.Hf

We derive a criterion to determine when a translationally invariant matrix product state (MPS) has long-range localizable entanglement, where that quantity remains finite in the thermodynamic limit. We give examples fulfilling this criterion and eventually use it to obtain all such MPS with bond dimension 2 and 3.

Quantum entanglement between a nonlinear nanomechanical resonator and a microwave field

Date: 
2010-11-29
Author(s): 

C.P. Meaney, Ros H. Mckenzie, G.J. Milburn

Reference: 

arXiv:1010.4094v2

We consider a theoretical model for a nonlinear nanomechanical resonator coupled to a superconducting microwave resonator. The nanomechanical resonator is driven parametrically at twice its resonance frequency, while the superconducting microwave resonator is driven with two tones that differ in frequency by an amount equal to the parametric driving frequency. We show that the semi-classical approximation of this system has an interesting fixed point bifurcation structure.

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