scholarly journals Entanglement of formation and monogamy of multi-party quantum entanglement

2021 ◽  
Vol 11 (1) ◽  
Author(s):  
Jeong San Kim
Keyword(s):  
Mutual Information ◽  
Quantum Entanglement ◽  
Pure State ◽  
Party Systems ◽  
Sufficient Condition ◽  
Density Matrices ◽  
Entanglement Of Formation ◽  
Classical Quantum ◽  
Arbitrary Dimensions ◽  
Reduced Density

AbstractWe provide a sufficient condition for the monogamy inequality of multi-party quantum entanglement of arbitrary dimensions in terms of entanglement of formation. Based on the classical–classical–quantum(ccq) states whose quantum parts are obtained from the two-party reduced density matrices of a three-party quantum state, we show the additivity of the mutual information of the ccq states guarantees the monogamy inequality of the three-party pure state in terms of EoF. After illustrating the result with some examples, we generalize our result of three-party systems into any multi-party systems of arbitrary dimensions.

scholarly journals Explicit constructions of all separable two-qubits density matrices and related problems for three-qubits systems

2015 ◽  
Vol 13 (08) ◽  
pp. 1550061 ◽  
Author(s):  
Y. Ben-Aryeh ◽  
A. Mann
Keyword(s):  
Pure State ◽  
State Density ◽  
Singular Value ◽  
High Order ◽  
Sufficient Condition ◽  
Lorentz Transformations ◽  
Density Matrices ◽  
Single Qubit ◽  
Pauli Matrices ◽  
Singular Value Decompositions

Explicitly separable density matrices are constructed for all separable two-qubits states based on Hilbert–Schmidt (HS) decompositions. For density matrices which include only two-qubits correlations the number of HS parameters is reduced to 3 by using local rotations, and for two-qubits states which include single qubit measurements, the number of parameters is reduced to 4 by local Lorentz transformations. For both cases, we related the absolute values of the HS parameters to probabilities, and the outer products of various Pauli matrices were transformed to pure state density matrices products. We discuss related problems for three-qubits. For n-qubits correlation systems ([Formula: see text]) the sufficient condition for separability may be improved by local transformations, related to high order singular value decompositions (SVDs).

Quantum Entanglement and Reduced Density Matrices

2018 ◽  
Vol 57 (8) ◽  
pp. 2426-2436 ◽  
Author(s):  
Agus Purwanto ◽  
Heru Sukamto ◽  
Lila Yuwana
Keyword(s):  
Quantum Entanglement ◽  
Density Matrices ◽  
Reduced Density Matrices ◽  
Reduced Density

Reduced Density Matrices

2000 ◽  
Author(s):  
A. John Coleman ◽  
Vyacheslav I. Yukalov
Keyword(s):  
Density Matrices ◽  
Reduced Density Matrices ◽  
Reduced Density
Sign in / Sign up

Export Citation Format

Share Document