Pure-state quantum trajectories for general non-Markovian systems do not exist
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Since the first derivation of non-Markovian stochastic Schr椩nger equations, their interpretation has been contentious. In a recent Letter [Phys. Rev. Lett. 100, 080401 (2008)], Di㳩 claimed to prove that they generate "true single system trajectories [conditioned on] continuous measurement." In this Letter, we show that his proof is fundamentally flawed: the solution to his non-Markovian stochastic Schr椩nger equation at any particular time can be interpreted as a conditioned state, but joining up these solutions as a trajectory creates a fiction.
Physical Review Letters
Copyright 2008 American Physical Society. This is the author-manuscript version of this paper. Reproduced in accordance with the copyright policy of the publisher. Please refer to the journal's website for access to the definitive, published version.