say for example a maximally entangled state |\psi_{AB}>=1/sqrt(2)(|00>+|11>) (at time t0) has to transform to another maximally entangled state |\phi_{AB}>=1/sqrt(2)(|01>+|10>) (at time t1) via unitary time evolution then at a certain time t0<t<t1 the entanglement content of the state(at time t ) will not be maximal if we consider the S(tr_{A}(\rho_{AB})) as our measure of entanglement. So can we have this process in which our physical resource (entanglement) is not only not conserved but also first decreases then increases in time ?