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Qubit models of weak continuous measurements
In this paper we approach the theory of continuous measurements and the
associated unconditional and conditional (stochastic) master equations from the
perspective of quantum information and quantum computing. We do so by showing
how the continuous-time evolution of these master equations arises from
discretizing in time the interaction between a system and a probe field and by
formulating quantum-circuit diagrams for the discretized evolution. We then
reformulate this interaction by replacing the probe field with a bath of
qubits, one for each discretized time segment, reproducing all of the standard
quantum-optical master equations. This provides an economical formulation of
the theory, highlighting its fundamental underlying assumptions.Comment: 50 pages, 18 figures. Version 2 includes minor bibliographic
modifications. The final version is the published version, available at the
provided DOI, and includes a few small additional changes, including full
context for these bibliographic modification