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Computing Coherence Vectors and Correlation Matrices with Application to Quantum Discord Quantification

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  • Jonas Maziero

Abstract

Coherence vectors and correlation matrices are important functions frequently used in physics. The numerical calculation of these functions directly from their definitions, which involves Kronecker products and matrix multiplications, may seem to be a reasonable option. Notwithstanding, as we demonstrate in this paper, some algebraic manipulations before programming can reduce considerably their computational complexity. Besides, we provide Fortran code to generate generalized Gell‐Mann matrices and to compute the optimized and unoptimized versions of associated Bloch’s vectors and correlation matrix in the case of bipartite quantum systems. As a code test and application example, we consider the calculation of Hilbert‐Schmidt quantum discords.

Suggested Citation

  • Jonas Maziero, 2016. "Computing Coherence Vectors and Correlation Matrices with Application to Quantum Discord Quantification," Advances in Mathematical Physics, John Wiley & Sons, vol. 2016(1).
    • Handle: RePEc:wly:jnlamp:v:2016:y:2016:i:1:n:6892178
    DOI: 10.1155/2016/6892178
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    1. Jin-Shi Xu & Kai Sun & Chuan-Feng Li & Xiao-Ye Xu & Guang-Can Guo & Erika Andersson & Rosario Lo Franco & Giuseppe Compagno, 2013. "Experimental recovery of quantum correlations in absence of system-environment back-action," Nature Communications, Nature, vol. 4(1), pages 1-7, December.
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