Christopher Monroe

Prof. Christopher Monroe

Distinguished University of Maryland Professor & Bice Seci-Zorn Professor

Matrix elements of the displacement operator and quantum computers

Following Roy Glauber’s seminal treatment of coherent states in quantum mechanics, he went on to show many properties of the bosonic operators at the foundation of coherent states.  In his 1969 manuscript entitled “Ordered Expansions in Boson Amplitude Operators,” Glauber and Kevin Cahill calculated the matrix elements of the coherent displacement operator.  The calculation was obscure at the time, but became the basis for one of the leading architectures for quantum computers.