... Cik, -2ii.01 -2ii.10 -2ii.11 + 2@ COl= + 2@ ClO= WlCOl W1c10 + + s22Co0, + S21coo + + + S21COl + - W2COl - J C O l + S 221 Cll 02C10 - J C l O + 24 6Cll - 2WCll = -01c11 - W2C11 s22Cl1, JC11 S22C10 ... field of the frequency, w , ( 12. 20) In this case, the Hamiltonian (22 .1) can be rewritten in the form (see ( 12. 22) and ( 12. 23)), 127 128 INTRODUCTION TO QUANTUM COMPUTERS 4 I wz-J v I I I I I ... , ‘HI, dt (22 . 12) where ‘H is the Hamiltonian, and [?, 3-t] is the commutator, [?, ‘HI = 13-1 - x? (22 .13) 1 32 INTRODUCTION TO QUANTUM COMPUTERS The Hamiltonian 'FI is given by ( 12. 21), where...