A quantum state is a density operator
\rho \in \text{D}(\mathcal{X})
where \mathcal{X} is a complex Euclidean space and where \text{D}(\cdot) represents the set of density matrices.
.. toctree::
.. autosummary:: :toctree: _autosummary toqito.state_metrics.fidelity toqito.state_metrics.helstrom_holevo toqito.state_metrics.hilbert_schmidt toqito.state_metrics.hilbert_schmidt_inner_product toqito.state_metrics.sub_fidelity toqito.state_metrics.trace_distance toqito.state_metrics.trace_norm toqito.state_metrics.bures_distance toqito.state_metrics.matsumoto_fidelity
.. toctree::
.. autosummary:: :toctree: _autosummary toqito.state_opt.optimal_clone toqito.state_opt.ppt_distinguishability toqito.state_opt.state_distinguishability toqito.state_opt.state_exclusion toqito.state_opt.state_helper toqito.state_opt.symmetric_extension_hierarchy
.. toctree::
.. autosummary:: :toctree: _autosummary toqito.state_ops.pure_to_mixed toqito.state_ops.schmidt_decomposition
.. toctree::
.. autosummary:: :toctree: _autosummary toqito.state_props.concurrence toqito.state_props.entanglement_of_formation toqito.state_props.has_symmetric_extension toqito.state_props.in_separable_ball toqito.state_props.is_ensemble toqito.state_props.is_mixed toqito.state_props.is_mutually_orthogonal toqito.state_props.is_mutually_unbiased_basis toqito.state_props.is_ppt toqito.state_props.is_product toqito.state_props.is_pure toqito.state_props.l1_norm_coherence toqito.state_props.log_negativity toqito.state_props.negativity toqito.state_props.purity toqito.state_props.schmidt_rank toqito.state_props.is_separable toqito.state_props.von_neumann_entropy toqito.state_props.sk_vector_norm
.. toctree::
.. autosummary:: :toctree: _autosummary toqito.states.basis toqito.states.bell toqito.states.brauer toqito.states.breuer toqito.states.chessboard toqito.states.domino toqito.states.gen_bell toqito.states.ghz toqito.states.gisin toqito.states.horodecki toqito.states.isotropic toqito.states.max_entangled toqito.states.max_mixed toqito.states.tile toqito.states.w_state toqito.states.werner toqito.states.singlet