# Dzyaloshinskii–Moriya interaction as an agent to free the bound entangled states

Dzyaloshinskii–Moriya interaction as an agent to free the bound entangled states In the present paper, we investigate the efficacy of Dzyaloshinskii–Moriya (DM) interaction to convert the bound entangled states into free entangled states. We consider the tripartite hybrid system as a pair of non interacting two qutrits initially prepared in bound entangled states and one auxiliary qubit. Here, we consider two types of bound entangled states investigated by Horodecki. The auxiliary qubit interacts with any one of the qutrit of the pair through DM interaction. We show that by tuning the probability amplitude of auxiliary qubit and DM interaction strength, one can free the bound entangled states, which can be further distilled. We use the reduction criterion to find the range of the parameters of probability amplitude of auxiliary qubit and DM interaction strength, for which the states are distillable. The realignment criterion and negativity have been used for detection and quantification of entanglement. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Quantum Information Processing Springer Journals

# Dzyaloshinskii–Moriya interaction as an agent to free the bound entangled states

, Volume 15 (4) – Jan 25, 2016
13 pages

/lp/springer_journal/dzyaloshinskii-moriya-interaction-as-an-agent-to-free-the-bound-magbqxTTQP
Publisher
Springer US
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.
10.1007/s11128-015-1234-3
Publisher site
See Article on Publisher Site

### Abstract

In the present paper, we investigate the efficacy of Dzyaloshinskii–Moriya (DM) interaction to convert the bound entangled states into free entangled states. We consider the tripartite hybrid system as a pair of non interacting two qutrits initially prepared in bound entangled states and one auxiliary qubit. Here, we consider two types of bound entangled states investigated by Horodecki. The auxiliary qubit interacts with any one of the qutrit of the pair through DM interaction. We show that by tuning the probability amplitude of auxiliary qubit and DM interaction strength, one can free the bound entangled states, which can be further distilled. We use the reduction criterion to find the range of the parameters of probability amplitude of auxiliary qubit and DM interaction strength, for which the states are distillable. The realignment criterion and negativity have been used for detection and quantification of entanglement.

### Journal

Quantum Information ProcessingSpringer Journals

Published: Jan 25, 2016

### References

• Can quantum-mechanical description of physical reality be considered complete?
Einstein, A; Podolsky, B; Rosen, N

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