Relative quantum phase, $m$-tangle, and multi-local Lorentz-group invariant

Details Relative quantum phase, $m$-tangle, and multi-local Lorentz-group invariant Relative quantum phase, $m$-tangle, and multi-local Lorentz-group invariant

2009-05-14

arxiv.org/abs/0905.2270v1

Quantum Information Processing: Volume 9, Issue 2 (2010), Page 233

Physics

Quantum Physics

6 pages

Scientific paper

In this paper we establish a relation between quantum relative phase, $m$-tangle, and multi-local Lorentz-group invariant or $SL(2,\mathbb{C})^{\times m}$-invariant $S^{2}_{(m)}$. Our construction is based on the orthogonal complement of a positive operator valued measure on quantum phase. In particular, we propose a quantity based on the quantum relative phase of a multi-qubit operator that coincides with $m$-tangle, and multi-local Lorentz-group invariant.

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