2011/05/13 by Vahid Karimipour, Karimipour, Vahid, Laleh Memarzadeh +1
Mathematics · Physics and Astronomy · #Quantum Mechanics and Applications #math-ph #math.MP #quant-ph
paper · pdf · doi:10.48550/arxiv.1105.2728
5 pages
arxiv created 2011/08/29 · arxiv updated 2011/08/30
We define a map which relates four dimensional classical stochastic matrices to qubit quantum channels. The map preserves the spectrum and the composition of processes. To do this we introduce the concept of Bloch tetrahedron which plays the same role in the classical context as the Bloch sphere in the quantum context. A similar map is also induced between dynamical generators of classical and quantum stochastic processes. Possibilities for generalization to arbitrary dimensions are also discussed.