Classical Tracking for Quantum Trajectories
- URL: http://arxiv.org/abs/2202.00276v1
- Date: Tue, 1 Feb 2022 08:39:19 GMT
- Title: Classical Tracking for Quantum Trajectories
- Authors: Jason F Ralph, Simon Maskell, Michael Ransom, Hendrik Ulbricht
- Abstract summary: Quantum state estimation, based on the numerical integration of master equations (SMEs), provides estimates for the evolution of quantum systems.
We show that classical tracking methods based on particle filters can be used to track quantum states.
- Score: 1.284647943889634
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: Quantum state estimation, based on the numerical integration of stochastic
master equations (SMEs), provides estimates for the evolution of quantum
systems subject to continuous weak measurements. The approach is similar to
classical state estimation methods in that the quantum trajectories produced by
solving the SME are conditioned on continuous classical measurement signals. In
this paper, we explore the use of classical state estimation for a candidate
quantum system, one based on an experimentally realisable system: a material
object undergoing continuous feedback cooling in an optical trap. In
particular, we demonstrate that classical tracking methods based on particle
filters can be used to track quantum states, and are particularly useful for
higher temperature regimes where quantum state estimation becomes
computationally demanding.
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