# The Relative Entropy of Entanglement of Schmidt Correlated States and Distillation

The Relative Entropy of Entanglement of Schmidt Correlated States and Distillation We show that a mixed state ρ = ∑mnamn|m⟩⟨n| can be realized by an ensemble of pure states {pk, |φk⟩} where $$|\Phi _k \rangle = \sum _m \sqrt {a_{mm} } e^{i\theta _m^k } |m\rangle$$ . Employing this form, we discuss the relative entropy of entanglement of Schmidt correlated states. Also, we calculate the distillable entanglement of a class of mixed states. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Quantum Information Processing Springer Journals

# The Relative Entropy of Entanglement of Schmidt Correlated States and Distillation

, Volume 1 (5) – Oct 13, 2004
7 pages

/lp/springer_journal/the-relative-entropy-of-entanglement-of-schmidt-correlated-states-and-pXU5AMPEb0
Publisher
Springer Journals
Subject
Physics; Quantum Information Technology, Spintronics; Quantum Computing; Data Structures, Cryptology and Information Theory; Quantum Physics; Mathematical Physics
ISSN
1570-0755
eISSN
1573-1332
D.O.I.
10.1023/A:1023469830754
Publisher site
See Article on Publisher Site

### Abstract

We show that a mixed state ρ = ∑mnamn|m⟩⟨n| can be realized by an ensemble of pure states {pk, |φk⟩} where $$|\Phi _k \rangle = \sum _m \sqrt {a_{mm} } e^{i\theta _m^k } |m\rangle$$ . Employing this form, we discuss the relative entropy of entanglement of Schmidt correlated states. Also, we calculate the distillable entanglement of a class of mixed states.

### Journal

Quantum Information ProcessingSpringer Journals

Published: Oct 13, 2004

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