Kavli Affiliate: Birgitta Whaley
| First 5 Authors: Yipei Zhang, Yipei Zhang, , ,
| Summary:
Quantum Zeno dragging enables the preparation of common eigenstates of a set
of observables by frequent measurement and adiabatic-like modulation of the
measurement basis. In this work, we present a deeper analysis of multi-channel
Zeno dragging using generalized measurements, i.e. simultaneously measuring a
set of non-commuting observables that vary slowly in time, to drag the state
towards a target subspace. For concreteness, we will focus on a
measurement-driven approach to solving k-SAT problems as examples. We first
compute some analytical upper bounds on the convergence time, including the
effect of finite measurement time resolution. We then apply optimal control
theory to obtain the optimal dragging schedule that lower bounds the
convergence time, for low-dimensional settings. This study provides a
theoretical foundation for multi-channel Zeno dragging and its optimization,
and also serves as a guide for designing optimal dragging schedules for quantum
information tasks including measurement-driven quantum algorithms.
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