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Examples

Calculate Fisher information and quantum Fisher information

The example is discussed in Example 3.1 and Example 3.4 in quantum metrological tools.
CramerRao_bounds.ipynb
CramerRao_bounds.jl

Calculate Fisher information matrix, quantum Fisher information matrix, Holevo Cramér-Rao bound and Nagaoka-Hayashi bound

The example is discussed in detail in Example 3.7 in quantum metrological tools.
HCRB_NHB.ipynb
HCRB_NHB.jl

Calculate Bayesian Cramér-Rao bounds

The example is discussed in detail in Example 3.8 in quantum metrological tools.
Bayesian_CramerRao_bounds.ipynb
Bayesian_CramerRao_bounds.jl

Bayesian estimation

The example is discussed in detail in Example 3.9 in quantum metrological tools.
Bayesian_estimation.ipynb
Bayesian_estimation.jl

Control optimization in single qubit system (single parameter)

The example is discussed in detail in Example 5.1 in control optimization.
control_optimization_NV.ipynb
control_optimization_NV.jl

Control optimization in nitrogen-vacancy center in diamond (multiparameter)

The example is discussed in detail in Example 5.2 in control optimization.
control_optimization_qubit.ipynb
control_optimization_qubit.jl

State optimization in Lipkin–Meshkov–Glick model (single parameter)

The example is discussed in detail in Example 6.1 in state optimization.
state_optimization_LMG1.ipynb
state_optimization_LMG1.jl

State optimization in Lipkin–Meshkov–Glick model (multiparameter)

The example is discussed in detail in Example 6.2 in state optimization.
state_optimization_LMG2.ipynb
state_optimization_LMG2.jl

Measurement optimization in single qubit system (single parameter)

The example is discussed in detail in Example 7.2 in measurement optimization.
measurement_optimization_qubit.ipynb
measurement_optimization_qubit.jl

Measurement optimization in nitrogen-vacancy center in diamond (multiparameter)

The example is discussed in detail in Example 7.3 in measurement optimization.
measurement_optimization_NV.ipynb
measurement_optimization_NV.jl

Comprehensive optimization in single qubit system (single parameter)

The example is discussed in detail in Example 8.1 in comprehensive optimization.
comprehensive_optimization_qubit.ipynb
comprehensive_optimization_qubit.jl

Comprehensive optimization in nitrogen-vacancy center in diamond (multiparameter)

The example is discussed in detail in Example 8.2 in comprehensive optimization.
comprehensive_optimization_NV.ipynb
comprehensive_optimization_NV.jl