English

The Gisin-Percival Stochastic Schr\"{o}dinger Equation from Standard Quantum Filtering Theory

Quantum Physics 2018-05-23 v1

Abstract

We show that the quantum state diffusion equation of Gisin and Percival, driven by complex Wiener noise, is equivalent up to a global stochastic phase to quantum trajectory models. With an appropriate feedback scheme, we set up an analogue continuous measurement model with exactly simulates the Gisin-Percival quantum state diffusion.

Keywords

Cite

@article{arxiv.1710.01413,
  title  = {The Gisin-Percival Stochastic Schr\"{o}dinger Equation from Standard Quantum Filtering Theory},
  author = {John E. Gough},
  journal= {arXiv preprint arXiv:1710.01413},
  year   = {2018}
}

Comments

Originally submitted to a Theoretical Physics journal but rejected with the re-submission instructions to drop my discussion and references to the papers of Gisin and Percival, which I consider unethical. To be now submitted to an appropriate Mathematical Physics journal instead