Finite state logic machines can be realized by pump-probe spectroscopic exp
eriments on an isolated molecule. The most elaborate setup, a Turing machin
e, can be programmed to carry out a specific computation. We argue that a m
olecule can be similarly programmed, and provide examples using two photon
spectroscopies. The states of the molecule serve as the possible states of
the head of the Turing machine and the physics of the problem determines th
e possible instructions of the program. The tape is written in an alphabet
that allows the listing of the different pump and probe signals that are ap
plied in a given experiment. Different experiments using the same set of mo
lecular levels correspond to different tapes that can be read and processed
by the same head and program. The analogy to a Turing machine is not a mec
hanical one and is not completely molecular because the tape is not part of
the molecular,machine. We therefore also discuss molecular finite state ma
chines, such as sequential devices, for which the tape is not part of the m
achine. Nonmolecular tapes allow for quite long input sequences with a rich
alphabet (at the level of 7 bits) and laser pulse:shaping experiments prov
ide concrete examples. Single molecule spectroscopies show that a single mo
lecule can be repeatedly cycled through a logical operation. (C) 2001 Ameri
can Institute of Physics.