10. A device P interacts with a quantum system Q as follows: initially, Q is in the standard state |0), while P is initially either in (s) or (s2). The unitary time evolution of PQ maps 182) 810) 82) 812). In other words, the state of P is unchanged, but Q is changed to one state or another. This can be interpreted as (s, ) and (s,) begin two different "settings" of the device P, and these settings determine which of the two Q-states [, ) or ( ) are prepared. Show that, if (1 52) |