We study the convergence properties of state estimates of an oscillating qubit being monitored by a sequence of discrete, unsharp measurements. Our method derives a differential equation determining the evolution of the estimation fidelity from a single incremental step. If the oscillation frequency is precisely known, the estimation fidelity converges exponentially fast to unity. For imprecise knowledge of we derive the asymptotic estimation fidelity.
Reference:
Bassa, H., Konrad, T., Diósi, L. et al. 2017. Equation of motion for estimation fidelity of monitored oscillating qubits. Physics Letters A, vol. 381(29): 2293-2297
Bassa, H., Konrad, T., Diósi, L., & Uys, H. (2017). Equation of motion for estimation fidelity of monitored oscillating qubits. http://hdl.handle.net/10204/9592
Bassa, H, T Konrad, L Diósi, and Hermann Uys "Equation of motion for estimation fidelity of monitored oscillating qubits." (2017) http://hdl.handle.net/10204/9592
Bassa H, Konrad T, Diósi L, Uys H. Equation of motion for estimation fidelity of monitored oscillating qubits. 2017; http://hdl.handle.net/10204/9592.
Copyright: 2017 Elsevier. Due to copyright restrictions, the attached PDF file only contains the abstract of the full text item. For access to the full text item, kindly consult the publisher's website.