The Gisin-Percival Stochastic Schrödinger Equation from Standard Quantum Filtering Theory
arXiv:1710.01413 · doi:10.1063/1.5007917
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.
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
References in corpus (5)
- Quantum Feedback Networks: Hamiltonian Formulation
- Basic properties of nonlinear stochastic Schrödinger equations driven by Brownian motions
- Quantum filtering: a reference probability approach
- Non-Markovian Quantum Feedback Networks II: Controlled Flows
- From quantum stochastic differential equations to Gisin-Percival state diffusion