Al-Rashed–Zegarliński monotonicity conjecture below Schatten exponent two
Al-Rashed–Zegarliński's conjecture. If p∈[1,2)p\in[1,2)p∈[1,2), then for every X∈B(H)X\in B(H)X∈B(H) and every unital completely positive trace-preserving map ϕ\phiϕ on B(H)B(H)B(H),