Contents Menu Expand Light mode Dark mode Auto light/dark, in light mode Auto light/dark, in dark mode Skip to content
|toqito> 1.1.2 documentation
Logo
|toqito> 1.1.2 documentation
  • Getting started
  • Contributing Guide
  • Code of Conduct
  • Examples
    • Basic Tutorials
      • Superdense Coding
      • Introductory Tutorial
    • Involving Quantum States
      • Quantum state distinguishability
      • Quantum state exclusion
    • Quantum Games
      • Calculating the quantum and classical value of a two-player XOR game
      • Nonlocal games
      • Extended nonlocal games
  • API Reference
    • channel_metrics
      • channel_metrics.channel_fidelity
      • channel_metrics.completely_bounded_spectral_norm
      • channel_metrics.completely_bounded_trace_norm
      • channel_metrics.diamond_distance
      • channel_metrics.fidelity_of_separability
    • channel_ops
      • channel_ops.apply_channel
      • channel_ops.choi_to_kraus
      • channel_ops.complementary_channel
      • channel_ops.dual_channel
      • channel_ops.kraus_to_choi
      • channel_ops.natural_representation
      • channel_ops.partial_channel
    • channel_props
      • channel_props.choi_rank
      • channel_props.is_completely_positive
      • channel_props.is_extremal
      • channel_props.is_herm_preserving
      • channel_props.is_positive
      • channel_props.is_quantum_channel
      • channel_props.is_trace_preserving
      • channel_props.is_unital
      • channel_props.is_unitary
    • channels
      • channels.amplitude_damping
      • channels.bitflip
      • channels.choi
      • channels.dephasing
      • channels.depolarizing
      • channels.pauli_channel
      • channels.phase_damping
      • channels.realignment
      • channels.reduction
    • helper
      • helper.channel_dim
      • helper.expr_as_np_array
      • helper.np_array_as_expr
      • helper.update_odometer
    • matrices
      • matrices.cnot
      • matrices.comparison
      • matrices.cyclic_permutation_matrix
      • matrices.fourier
      • matrices.gell_mann
      • matrices.gen_gell_mann
      • matrices.gen_pauli
      • matrices.gen_pauli_x
      • matrices.gen_pauli_z
      • matrices.hadamard
      • matrices.pauli
      • matrices.standard_basis
    • matrix_ops
      • matrix_ops.calculate_vector_matrix_dimension
      • matrix_ops.partial_trace
      • matrix_ops.partial_transpose
      • matrix_ops.perturb_vectors
      • matrix_ops.tensor
      • matrix_ops.tensor_comb
      • matrix_ops.to_density_matrix
      • matrix_ops.unvec
      • matrix_ops.vectors_from_gram_matrix
      • matrix_ops.vectors_to_gram_matrix
    • matrix_props
      • matrix_props.commutant
      • matrix_props.has_same_dimension
      • matrix_props.is_absolutely_k_incoherent
      • matrix_props.is_anti_hermitian
      • matrix_props.is_block_positive
      • matrix_props.is_circulant
      • matrix_props.is_commuting
      • matrix_props.is_density
      • matrix_props.is_diagonal
      • matrix_props.is_diagonally_dominant
      • matrix_props.is_hermitian
      • matrix_props.is_idempotent
      • matrix_props.is_identity
      • matrix_props.is_k_incoherent
      • matrix_props.is_linearly_independent
      • matrix_props.is_nonnegative
      • matrix_props.is_normal
      • matrix_props.is_orthonormal
      • matrix_props.is_permutation
      • matrix_props.is_positive
      • matrix_props.is_positive_definite
      • matrix_props.is_positive_semidefinite
      • matrix_props.is_projection
      • matrix_props.is_pseudo_hermitian
      • matrix_props.is_pseudo_unitary
      • matrix_props.is_square
      • matrix_props.is_stochastic
      • matrix_props.is_symmetric
      • matrix_props.is_totally_positive
      • matrix_props.is_unitary
      • matrix_props.kp_norm
      • matrix_props.majorizes
      • matrix_props.mutual_coherence
      • matrix_props.positive_semidefinite_rank
      • matrix_props.sk_norm
      • matrix_props.spark
      • matrix_props.trace_norm
    • measurements
      • measurements.pretty_bad_measurement
      • measurements.pretty_good_measurement
    • measurement_ops
      • measurement_ops.measure
    • measurement_props
      • measurement_props.is_povm
    • nonlocal_games
      • nonlocal_games.extended_nonlocal_game
      • nonlocal_games.nonlocal_game
      • nonlocal_games.quantum_hedging
      • nonlocal_games.xor_game
    • perms
      • perms.antisymmetric_projection
      • perms.perfect_matchings
      • perms.perm_sign
      • perms.permutation_operator
      • perms.permute_systems
      • perms.swap
      • perms.swap_operator
      • perms.symmetric_projection
      • perms.unique_perms
      • perms.vec
    • rand
      • rand.random_circulant_gram_matrix
      • rand.random_density_matrix
      • rand.random_ginibre
      • rand.random_orthonormal_basis
      • rand.random_povm
      • rand.random_psd_operator
      • rand.random_state_vector
      • rand.random_states
      • rand.random_unitary
    • state_metrics
      • state_metrics.bures_angle
      • state_metrics.bures_distance
      • state_metrics.fidelity
      • state_metrics.fidelity_of_separability
      • state_metrics.helstrom_holevo
      • state_metrics.hilbert_schmidt
      • state_metrics.hilbert_schmidt_inner_product
      • state_metrics.matsumoto_fidelity
      • state_metrics.sub_fidelity
      • state_metrics.trace_distance
    • state_ops
      • state_ops.schmidt_decomposition
    • state_opt
      • state_opt.bell_inequality_max
      • state_opt.npa_hierarchy
      • state_opt.optimal_clone
      • state_opt.ppt_distinguishability
      • state_opt.state_distinguishability
      • state_opt.state_exclusion
      • state_opt.state_helper
      • state_opt.symmetric_extension_hierarchy
    • state_props
      • state_props.common_quantum_overlap
      • state_props.concurrence
      • state_props.entanglement_of_formation
      • state_props.has_symmetric_extension
      • state_props.in_separable_ball
      • state_props.is_antidistinguishable
      • state_props.is_distinguishable
      • state_props.is_ensemble
      • state_props.is_mixed
      • state_props.is_mutually_orthogonal
      • state_props.is_mutually_unbiased_basis
      • state_props.is_npt
      • state_props.is_ppt
      • state_props.is_product
      • state_props.is_pure
      • state_props.is_separable
      • state_props.is_unextendible_product_basis
      • state_props.l1_norm_coherence
      • state_props.log_negativity
      • state_props.negativity
      • state_props.purity
      • state_props.schmidt_rank
      • state_props.sk_vec_norm
      • state_props.von_neumann_entropy
    • states
      • states.basis
      • states.bb84
      • states.bell
      • states.brauer
      • states.breuer
      • states.chessboard
      • states.dicke
      • states.domino
      • states.gen_bell
      • states.ghz
      • states.gisin
      • states.horodecki
      • states.isotropic
      • states.max_entangled
      • states.max_mixed
      • states.mutually_unbiased_basis
      • states.pusey_barrett_rudolph
      • states.singlet
      • states.tile
      • states.trine
      • states.w_state
      • states.werner
  • References

Project Links

  • GitHub
  • PyPI
  • Discord Channel
Back to top
View this page

Involving Quantum States¶

Quantum state distinguishability

Quantum state distinguishability

Quantum state exclusion

Quantum state exclusion
Next
Quantum state distinguishability
Previous
Introductory Tutorial
Copyright © 2020 - 2025, |toqito> contributors
Made with Sphinx and @pradyunsg's Furo
Last updated on Jun 19, 2025