Noisy quantum measurement of solid-state qubits: Bayesian approach

TL;DR

This paper presents a Bayesian formalism for modeling the continuous measurement of solid-state qubits, capturing individual measurement records and enabling analysis of quantum feedback control and entanglement.

Contribution

It introduces a novel Bayesian approach that extends traditional models by incorporating measurement records for solid-state qubits, including entangled systems.

Findings

Provides testable predictions for quantum measurement outcomes

Enables analysis of quantum feedback control in solid-state qubits

Generalizes to continuous measurement of entangled qubits

Abstract

We discuss a recently developed formalism which describes the quantum evolution of a solid-state qubit due to its continuous measurement. In contrast to the conventional ensemble-averaged formalism, it takes into account the measurement record and therefore is able to consider individual realizations of the measurement process. The formalism provides testable experimental predictions and can be used for the analysis of a quantum feedback control of solid-state qubits. We also discuss generalization of the Bayesian formalism to the continuous measurement of entangled qubits.