scholarly journals Multipartite entanglement measures and quantum criticality from matrix and tensor product states

2010 ◽  
Vol 81 (3) ◽  
Author(s):  
Ching-Yu Huang ◽  
Feng-Li Lin
Keyword(s):  
Tensor Product ◽  
Quantum Criticality ◽  
Multipartite Entanglement ◽  
Entanglement Measures

scholarly journals Estimating multipartite entanglement measures

2010 ◽  
Vol 81 (2) ◽  
Author(s):  
Andreas Osterloh ◽  
Philipp Hyllus
Keyword(s):  
Multipartite Entanglement ◽  
Entanglement Measures

scholarly journals Construction of genuinely entangled subspacesand the associated bounds on entanglement measures for mixed states

2021 ◽  
Author(s):  
Konstantin Antipin
Keyword(s):  
Information Processing ◽  
Quantum Information ◽  
Lower Bounds ◽  
Quantum Information Processing ◽  
Multipartite Entanglement ◽  
Quantum Channels ◽  
Valuable Resource ◽  
Mixed States ◽  
Entanglement Measures ◽  
Pure States

Abstract Genuine entanglement is the strongest form of multipartite entanglement. Genuinely entangled pure states contain entanglement in every bipartition and as such can be regarded as a valuable resource in the protocols of quantum information processing. A recent direction of research is the construction of genuinely entangled subspaces — the class of subspaces consisting entirely of genuinely entangled pure states. In this paper we present methods of construction of such subspaces including those of maximal possible dimension. The approach is based on the composition of bipartite entangled subspaces and quantum channels of certain types. The examples include maximal subspaces for systems of three qubits, four qubits, three qutrits. We also provide lower bounds on two entanglement measures for mixed states, the concurrence and the convex-roof extended negativity, which are directly connected with the projection on genuinely entangled subspaces.

scholarly journals Geometric multipartite entanglement measures

2007 ◽  
Vol 365 (1-2) ◽  
pp. 64-69 ◽  
Author(s):  
Gerardo A. Paz-Silva ◽  
John H. Reina
Keyword(s):  
Multipartite Entanglement ◽  
Entanglement Measures

Compatibility conditions from multipartite entanglement measures

2007 ◽  
Vol 75 (5) ◽  
Author(s):  
Jian-Ming Cai ◽  
Zheng-Wei Zhou ◽  
Shun Zhang ◽  
Guang-Can Guo
Keyword(s):  
Multipartite Entanglement ◽  
Compatibility Conditions ◽  
Entanglement Measures

scholarly journals WITNESSED ENTANGLEMENT

2006 ◽  
Vol 04 (02) ◽  
pp. 331-340 ◽  
Author(s):  
FERNANDO G. S. L. BRANDÃO ◽  
REINALDO O. VIANNA
Keyword(s):  
Multipartite Entanglement ◽  
Mixed States ◽  
Entanglement Measures ◽  
Different Types

We present a new measure of entanglement for mixed states. It can be approximately computable for every state and can be used to quantify all different types of multipartite entanglement. We show that it satisfies the usual properties of a good entanglement quantifier and derive relations between it and other entanglement measures.

scholarly journals ENTANGLEMENT IN A HARDCORE BOSON HUBBARD MODEL

2007 ◽  
Vol 21 (26) ◽  
pp. 1759-1766
Author(s):  
XIANG HAO ◽  
SHIQUN ZHU
Keyword(s):  
Equilibrium State ◽  
Ground State ◽  
Thermal Equilibrium ◽  
Quantum Criticality ◽  
Multipartite Entanglement ◽  
Thermal Entanglement ◽  
Thermal Equilibrium State ◽  
Analytic Expression ◽  
Global Entanglement ◽  
Boson Hubbard Model

The entanglement in a Hubbard chain of hardcore bosons is investigated. The analytic expression of the global entanglement in the ground state is derived. The divergence of the derivative of the global entanglement shows the quantum criticality of the ground state. For the thermal equilibrium state, the bipartite and the multipartite entanglement are evaluated. The entanglement decreases to zero at a certain temperature. The thermal entanglement is rapidly decreasing with the increase of the number of sites in the lattice. The bipartite thermal entanglement approaches a constant value at a certain number of sites while the multipartite entanglement eventually vanishes.

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