2. Consider a qubit that is coupled to the environment via its spin degree of freedom. The system is governed by the Lindblad equation dp dt =- kla.pl+}( C2L.PL - {LIL,P) with Lindblad operators Ly = y10) (1 and L2 = y(1)(01. (a) Calculate LL for k=1,2. (b) If the density matrix of the qubit at time t = 0 is given by po= 0) (01 1+0. with 0. 2 [4] [6] calculate p(t) by solving the Lindblad equation with H = 0. (c) If the density matrix of the qubit at time t = 0 is given by [6] p(O)=+)(+1= 1+0 2 with 0,= calculate p(t) by solving the Lindblad equation with H = 0. (d) Explain the difference between your answers in (b) and (c). What is the physical meaning of y? [4] DE Win 2. Consider a qubit that is coupled to the environment via its spin degree of freedom. The system is governed by the Lindblad equation dp dt =- kla.pl+}( C2L.PL - {LIL,P) with Lindblad operators Ly = y10) (1 and L2 = y(1)(01. (a) Calculate LL for k=1,2. (b) If the density matrix of the qubit at time t = 0 is given by po= 0) (01 1+0. with 0. 2 [4] [6] calculate p(t) by solving the Lindblad equation with H = 0. (c) If the density matrix of the qubit at time t = 0 is given by [6] p(O)=+)(+1= 1+0 2 with 0,= calculate p(t) by solving the Lindblad equation with H = 0. (d) Explain the difference between your answers in (b) and (c). What is the physical meaning of y? [4] DE Win