Using the result of a classical measurement to determine a subsequent unitary transformation on a quantum system has been proposed in connection with teleportation; see C. H. Bennett et al., Phys. Rev. Lett. 70, 1895 (1993), as pointed out to us by D. DiVincenzo.

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Semiclassical Fourier Transform for Quantum Computation - Griffiths (1996)   (15 citations)  (Correct)

.... First, it represents a completely new (so far as we know) technique for quantum computation, in which the results of certain measurements, converted into classical signals (imagine a pulse of several volts traveling down a coaxial cable) can be used to influence a later step in the computation [16]. Second, computing the Fourier transform is considerably simplified in the sense that it requires no two bit gates. Third, a simple way of seeing why the semi classical method actually works is to adopt a point of view in technical terms, a particular family of consistent histories in which ....

Using the result of a classical measurement to determine a subsequent unitary transformation on a quantum system has been proposed in connection with teleportation; see C. H. Bennett et al., Phys. Rev. Lett. 70, 1895 (1993), as pointed out to us by D. DiVincenzo.

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