# Quantum relative phase, m-tangle, and multi-local Lorentz-group invariant

Quantum relative phase, m-tangle, and multi-local Lorentz-group invariant In this paper we define a family of hermitian operators by which to extract what we call quantum-relative-phase properties of a pure or mixed multipartite quantum state, and we relate these properties to known measures of entanglement, namely the m-tangle and the invariant $${S_{(m)}^2}$$ of the multi-local Lorentz-group $${SL(2, \mathbb{C})^{\otimes m}}$$ . Our construction is based on the orthogonal complement of a positive operator valued measure on quantum phase. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Quantum Information Processing Springer Journals

# Quantum relative phase, m-tangle, and multi-local Lorentz-group invariant

, Volume 9 (2) – Oct 22, 2009
6 pages
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Publisher
Springer US
Copyright
Copyright © 2009 by Springer Science+Business Media, LLC
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/s11128-009-0150-9
Publisher site
See Article on Publisher Site

### Abstract

In this paper we define a family of hermitian operators by which to extract what we call quantum-relative-phase properties of a pure or mixed multipartite quantum state, and we relate these properties to known measures of entanglement, namely the m-tangle and the invariant $${S_{(m)}^2}$$ of the multi-local Lorentz-group $${SL(2, \mathbb{C})^{\otimes m}}$$ . Our construction is based on the orthogonal complement of a positive operator valued measure on quantum phase.

### Journal

Quantum Information ProcessingSpringer Journals

Published: Oct 22, 2009

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