In this paper we show that in general the semigroup generated by the closure of the sum of two generators can not be represented by the Lie-Trotter product formula.
机构:
Natl Inst Informat, Global Res Ctr Quantum Informat Sci, 2-1-2 Hitotsubashi,Chiyoda Ku, Tokyo 1018430, JapanNatl Inst Informat, Global Res Ctr Quantum Informat Sci, 2-1-2 Hitotsubashi,Chiyoda Ku, Tokyo 1018430, Japan