Were the NMR machines of the 1980's performing a rudimentary quantum computation with phase cycling?

Were the NMR machines of the 1980's performing a rudimentary quantum computation with phase cycling? Ask Question Asked today Modified today Viewed 8 times 1 In his 1996 paper Universal Quantum Simulators Seth Lloyd continues to formalize the problem of Hamiltonian simulation, showing that local Hamiltonian simulation is in BQP by applying the Baker-Campbell-Hausdorff formula to a Trotterization of the evolution. I particularly like his analogy between rapidly switching among noncommuting Pauli operators and rapidly going forward and backward to parallel park a car. In the paper Lloyd comments that this technique is familiar in NMR spectroscopy, pointing to an early 1980 paper titled Theory of selective excitation of multiple‐quantum transitions by Warren, Weitekamp, and Pines (pdf here). They refer to their version of Trotterization as "phase cycling" - Figure 4 of that paper, reproduced below, is striking. In view of the above, how much of a stretch is it to say that back in 1980, before Feynman's famous lecture, even the NMR scientists were discussing how to perform a 'quantum computation' using phase-cycling/Trotterization? Or is the relation between these NMR scientists' discussion of phase cycling and Lloyd's discussion of Hamiltonian simulation more akin to that well-discussed relation between the Jacquard loom and the Babbage machine? hamiltonian-simulationhistory Share Improve this question Follow asked 3 hours ago Mark Spinelli 16.4k3 3 gold badges 28 28 silver badges 88 88 bronze badges Add a comment Know someone who can answer? Share a link to this question via email, Twitter, or Facebook. Your Answer Sign up or log in Sign up using Google Sign up using Email and Password Post as a guest Name Email Required, but never shown Post Your Answer By clicking “Post Your Answer”, you agree to our terms of service and acknowledge you have read our privacy policy. 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