Entanglement of Bell Mixtures of Two Qubits
Abstract
Description
This paper is an appendix to a previous paper: quant-ph/0101123 ``Relaxation Method for Calculating Quantum Entanglement", by Robert Tucci. For certain mixtures of Bell basis states, namely the Werner States, we use the theoretical machinery of our previous paper to derive algebraic formulas for: the pure and mixed minimization entanglements (i.e., E_{pure} and E_{mixed}), their optimal decompositions and their entanglement operators. This complements and corroborates some results that were obtained numerically but not algebraically in our previous paper. Some of the algebraic formulas presented here are new. Others were first derived using a different method by Bennett et al in quant-ph/9604024.
Ver.1 has 18 pages (files: 1 .tex, 1 .eps, 2 .sty); Ver.2 has 28 pages (files: 1 .tex, 5 .eps, 2 .sty) Added important new material in the form of 3 new appendices
Ver.1 has 18 pages (files: 1 .tex, 1 .eps, 2 .sty); Ver.2 has 28 pages (files: 1 .tex, 5 .eps, 2 .sty) Added important new material in the form of 3 new appendices