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|toqito> 1.1.2 documentation
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|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
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Quantum Games¶

Calculating the quantum and classical value of a two-player XOR game

Calculating the quantum and classical value of a two-player XOR game

Nonlocal games

Nonlocal games

Extended nonlocal games

Extended nonlocal games
Next
Calculating the quantum and classical value of a two-player XOR game
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Quantum state exclusion
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Last updated on Jun 19, 2025