# Local quantum uncertainty and bounds on quantumness for orthogonally invariant class of states

Local quantum uncertainty and bounds on quantumness for orthogonally invariant class of states Local quantum uncertainty was introduced as a measure of quantum uncertainty in an quantum state as achievable on single local measurement. However, such quantity do satisfy all necessary criteria to serve as measure of discord-like quantum correlation and it has no closed formula except only for $$2\otimes n$$ 2 ⊗ n system. Here, we consider orthogonal invariant class of states which includes both the Werner and Isotropic class of states and explore the possibility of closed form formula. Further, we extend our quest to the possibility of closed form of geometric discord and measurement-induced nonlocality for this class. We also provide a comparative study of the bounds of general quantum correlations with entanglement, as measured by negativity, for an interesting subclass of states. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Quantum Information Processing Springer Journals

# Local quantum uncertainty and bounds on quantumness for orthogonally invariant class of states

, Volume 14 (1) – Oct 12, 2014
17 pages

/lp/springer_journal/local-quantum-uncertainty-and-bounds-on-quantumness-for-orthogonally-E8RZMYlePp
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/s11128-014-0850-7
Publisher site
See Article on Publisher Site

### Abstract

Local quantum uncertainty was introduced as a measure of quantum uncertainty in an quantum state as achievable on single local measurement. However, such quantity do satisfy all necessary criteria to serve as measure of discord-like quantum correlation and it has no closed formula except only for $$2\otimes n$$ 2 ⊗ n system. Here, we consider orthogonal invariant class of states which includes both the Werner and Isotropic class of states and explore the possibility of closed form formula. Further, we extend our quest to the possibility of closed form of geometric discord and measurement-induced nonlocality for this class. We also provide a comparative study of the bounds of general quantum correlations with entanglement, as measured by negativity, for an interesting subclass of states.

### Journal

Quantum Information ProcessingSpringer Journals

Published: Oct 12, 2014

### References

• Characterizing nonclassical correlations via local quantum uncertainty
Girolami, D; Tufarelli, T; Adesso, G
• Geometric measure of quantum discord
Luo, S; Fu, SS

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