Index

A

abs_ppt_constraints() (in module toqito.state_props.abs_ppt_constraints) amplitude_damping() (in module toqito.channels.amplitude_damping)

answer (toqito.state_opt.npa_hierarchy.Symbol attribute) antisymmetric_projection() (in module toqito.perms.antisymmetric_projection) apply_channel() (in module toqito.channel_ops.apply_channel)

B

basis() (in module toqito.states.basis) bb84() (in module toqito.states.bb84) bell() (in module toqito.states.bell) bell_inequality_max() (in module toqito.state_opt.bell_inequality_max) bell_inequality_max_qubits() (in module toqito.state_opt.bell_inequality_max)

bell_npa_constraints() (in module toqito.state_opt.npa_hierarchy) bitflip() (in module toqito.channels.bitflip) brauer() (in module toqito.states.brauer) breuer() (in module toqito.states.breuer) bures_angle() (in module toqito.state_metrics.bures_angle) bures_distance() (in module toqito.state_metrics.bures_distance)

C

calculate_vector_matrix_dimension() (in module toqito.matrix_ops.calculate_vector_matrix_dimension) cg_to_fc() (in module toqito.state_opt.bell_notation_conversions) cg_to_fp() (in module toqito.state_opt.bell_notation_conversions) channel_dim() (in module toqito.channel_props.channel_dim) channel_distinguishability() (in module toqito.channel_metrics.channel_distinguishability) channel_fidelity() (in module toqito.channel_metrics.channel_fidelity) channel_measured_relative_entropy() (in module toqito.channel_metrics.channel_measured_relative_entropy) check_perfect_commuting_strategy() (in module toqito.nonlocal_games.binary_constraint_system_game) chessboard() (in module toqito.states.chessboard) choi() (in module toqito.channels.choi) choi_rank() (in module toqito.channel_props.choi_rank) choi_to_kraus() (in module toqito.channel_ops.choi_to_kraus) classical_value() (toqito.nonlocal_games.nonlocal_game.NonlocalGame method) (toqito.nonlocal_games.xor_game.XORGame method)

cnot() (in module toqito.matrices.cnot) common_quantum_overlap() (in module toqito.state_props.common_quantum_overlap) commutant() (in module toqito.matrix_props.commutant) commuting_measurement_value_upper_bound() (toqito.nonlocal_games.extended_nonlocal_game.ExtendedNonlocalGame method) (toqito.nonlocal_games.nonlocal_game.NonlocalGame method) comparison() (in module toqito.matrices.comparison) complementary_channel() (in module toqito.channel_ops.complementary_channel) completely_bounded_spectral_norm() (in module toqito.channel_metrics.completely_bounded_spectral_norm) completely_bounded_trace_norm() (in module toqito.channel_metrics.completely_bounded_trace_norm) concurrence() (in module toqito.state_props.concurrence) create_bcs_constraints() (in module toqito.nonlocal_games.binary_constraint_system_game) cyclic_permutation_matrix() (in module toqito.matrices.cyclic_permutation_matrix)

D

dephasing() (in module toqito.channels.dephasing) depolarizing() (in module toqito.channels.depolarizing) diamond_distance() (in module toqito.channel_metrics.diamond_distance)

dicke() (in module toqito.states.dicke) domino() (in module toqito.states.domino) dual_channel() (in module toqito.channel_ops.dual_channel) dual_problem() (in module toqito.state_opt.optimal_clone)

E

entanglement_of_formation() (in module toqito.state_props.entanglement_of_formation)

expr_as_np_array() (in module toqito.helper.expr_as_np_array) ExtendedNonlocalGame (class in toqito.nonlocal_games.extended_nonlocal_game)

F

factor_width() (in module toqito.matrix_props.factor_width) fc_to_cg() (in module toqito.state_opt.bell_notation_conversions) fc_to_fp() (in module toqito.state_opt.bell_notation_conversions) fidelity() (in module toqito.state_metrics.fidelity) fidelity_of_separability() (in module toqito.channel_metrics.fidelity_of_separability) (in module toqito.state_metrics.fidelity_of_separability)

fourier() (in module toqito.matrices.fourier) fp_to_cg() (in module toqito.state_opt.bell_notation_conversions) fp_to_fc() (in module toqito.state_opt.bell_notation_conversions) from_bcs_game() (toqito.nonlocal_games.nonlocal_game.NonlocalGame class method)

G

gell_mann() (in module toqito.matrices.gell_mann) gen_bell() (in module toqito.states.gen_bell) gen_gell_mann() (in module toqito.matrices.gen_gell_mann) gen_pauli() (in module toqito.matrices.gen_pauli)

gen_pauli_x() (in module toqito.matrices.gen_pauli_x) gen_pauli_z() (in module toqito.matrices.gen_pauli_z) generate_solution_group() (in module toqito.nonlocal_games.binary_constraint_system_game) ghz() (in module toqito.states.ghz) gisin() (in module toqito.states.gisin)

H

hadamard() (in module toqito.matrices.hadamard) has_same_dimension() (in module toqito.matrix_props.has_same_dimension) has_symmetric_extension() (in module toqito.state_props.has_symmetric_extension)

helstrom_holevo() (in module toqito.state_metrics.helstrom_holevo) hilbert_schmidt() (in module toqito.state_metrics.hilbert_schmidt) hilbert_schmidt_inner_product() (in module toqito.state_metrics.hilbert_schmidt_inner_product) horodecki() (in module toqito.states.horodecki)

I

IDENTITY_SYMBOL (in module toqito.state_opt.npa_hierarchy) in_separable_ball() (in module toqito.state_props.in_separable_ball) is_abs_ppt() (in module toqito.state_props.is_abs_ppt) is_absolutely_k_incoherent() (in module toqito.matrix_props.is_absolutely_k_incoherent) is_anti_hermitian() (in module toqito.matrix_props.is_anti_hermitian) is_antidistinguishable() (in module toqito.state_props.is_antidistinguishable) is_bcs_perfect_commuting_strategy() (toqito.nonlocal_games.nonlocal_game.NonlocalGame method) is_block_positive() (in module toqito.matrix_props.is_block_positive) is_circulant() (in module toqito.matrix_props.is_circulant) is_commuting() (in module toqito.matrix_props.is_commuting) is_completely_positive() (in module toqito.channel_props.is_completely_positive) is_density() (in module toqito.matrix_props.is_density) is_diagonal() (in module toqito.matrix_props.is_diagonal) is_diagonally_dominant() (in module toqito.matrix_props.is_diagonally_dominant) is_distinguishable() (in module toqito.state_props.is_distinguishable) is_ensemble() (in module toqito.state_props.is_ensemble) is_extremal() (in module toqito.channel_props.is_extremal) is_herm_preserving() (in module toqito.channel_props.is_herm_preserving) is_hermitian() (in module toqito.matrix_props.is_hermitian) is_idempotent() (in module toqito.matrix_props.is_idempotent) is_identity() (in module toqito.matrix_props.is_identity) is_k_incoherent() (in module toqito.matrix_props.is_k_incoherent) is_ldoi() (in module toqito.matrix_props.is_ldoi) is_linearly_independent() (in module toqito.matrix_props.is_linearly_independent) is_mixed() (in module toqito.state_props.is_mixed) is_mutually_orthogonal() (in module toqito.state_props.is_mutually_orthogonal) is_mutually_unbiased_basis() (in module toqito.state_props.is_mutually_unbiased_basis) is_nonnegative() (in module toqito.matrix_props.is_nonnegative)

is_normal() (in module toqito.matrix_props.is_normal) is_npt() (in module toqito.state_props.is_npt) is_orthonormal() (in module toqito.matrix_props.is_orthonormal) is_permutation() (in module toqito.matrix_props.is_permutation) is_positive() (in module toqito.channel_props.is_positive) (in module toqito.matrix_props.is_positive) is_positive_definite() (in module toqito.matrix_props.is_positive_definite) is_positive_semidefinite() (in module toqito.matrix_props.is_positive_semidefinite) is_povm() (in module toqito.measurement_props.is_povm) is_ppt() (in module toqito.state_props.is_ppt) is_product() (in module toqito.state_props.is_product) is_projection() (in module toqito.matrix_props.is_projection) is_pseudo_hermitian() (in module toqito.matrix_props.is_pseudo_hermitian) is_pseudo_unitary() (in module toqito.matrix_props.is_pseudo_unitary) is_pure() (in module toqito.state_props.is_pure) is_quantum_channel() (in module toqito.channel_props.is_quantum_channel) is_rank_one() (in module toqito.matrix_props.is_rank_one) is_separable() (in module toqito.state_props.is_separable) is_sic_povm() (in module toqito.state_props.is_sic_povm) is_square() (in module toqito.matrix_props.is_square) is_stochastic() (in module toqito.matrix_props.is_stochastic) is_symmetric() (in module toqito.matrix_props.is_symmetric) is_totally_positive() (in module toqito.matrix_props.is_totally_positive) is_trace_preserving() (in module toqito.channel_props.is_trace_preserving) is_unextendible_product_basis() (in module toqito.state_props.is_unextendible_product_basis) is_unital() (in module toqito.channel_props.is_unital) is_unitary() (in module toqito.channel_props.is_unitary) (in module toqito.matrix_props.is_unitary) isotropic() (in module toqito.states.isotropic)

K

kp_norm() (in module toqito.matrix_props.kp_norm)

kraus_to_choi() (in module toqito.channel_ops.kraus_to_choi)

L

l1_norm_coherence() (in module toqito.state_props.l1_norm_coherence) ldot_channel() (in module toqito.channels.ldot_channel)

learnability() (in module toqito.state_props.learnability) log_negativity() (in module toqito.state_props.log_negativity)

M

majorizes() (in module toqito.matrix_props.majorizes) matsumoto_fidelity() (in module toqito.state_metrics.matsumoto_fidelity) max_entangled() (in module toqito.states.max_entangled) max_mixed() (in module toqito.states.max_mixed) max_prob_outcome_a_dual() (toqito.nonlocal_games.quantum_hedging.QuantumHedging method) max_prob_outcome_a_primal() (toqito.nonlocal_games.quantum_hedging.QuantumHedging method) measure() (in module toqito.measurement_ops.measure) measured_relative_entropy() (in module toqito.state_metrics.measured_relative_entropy) min_prob_outcome_a_dual() (toqito.nonlocal_games.quantum_hedging.QuantumHedging method) min_prob_outcome_a_primal() (toqito.nonlocal_games.quantum_hedging.QuantumHedging method) module toqito toqito.channel_metrics toqito.channel_metrics.channel_distinguishability toqito.channel_metrics.channel_fidelity toqito.channel_metrics.channel_measured_relative_entropy toqito.channel_metrics.completely_bounded_spectral_norm toqito.channel_metrics.completely_bounded_trace_norm toqito.channel_metrics.diamond_distance toqito.channel_metrics.fidelity_of_separability toqito.channel_ops toqito.channel_ops.apply_channel toqito.channel_ops.choi_to_kraus toqito.channel_ops.complementary_channel toqito.channel_ops.dual_channel toqito.channel_ops.kraus_to_choi toqito.channel_ops.natural_representation toqito.channel_ops.partial_channel toqito.channel_props toqito.channel_props.channel_dim toqito.channel_props.choi_rank toqito.channel_props.is_completely_positive toqito.channel_props.is_extremal toqito.channel_props.is_herm_preserving toqito.channel_props.is_positive toqito.channel_props.is_quantum_channel toqito.channel_props.is_trace_preserving toqito.channel_props.is_unital toqito.channel_props.is_unitary toqito.channels toqito.channels.amplitude_damping toqito.channels.bitflip toqito.channels.choi toqito.channels.dephasing toqito.channels.depolarizing toqito.channels.ldot_channel toqito.channels.pauli_channel toqito.channels.phase_damping toqito.channels.realignment toqito.channels.reduction toqito.helper toqito.helper.expr_as_np_array toqito.helper.np_array_as_expr toqito.helper.update_odometer toqito.matrices toqito.matrices.cnot toqito.matrices.comparison toqito.matrices.cyclic_permutation_matrix toqito.matrices.fourier toqito.matrices.gell_mann toqito.matrices.gen_gell_mann toqito.matrices.gen_pauli toqito.matrices.gen_pauli_x toqito.matrices.gen_pauli_z toqito.matrices.hadamard toqito.matrices.pauli toqito.matrices.standard_basis toqito.matrix_ops toqito.matrix_ops.calculate_vector_matrix_dimension toqito.matrix_ops.null_space toqito.matrix_ops.partial_trace toqito.matrix_ops.partial_transpose toqito.matrix_ops.perturb_vectors toqito.matrix_ops.tensor toqito.matrix_ops.tensor_comb toqito.matrix_ops.tensor_unravel toqito.matrix_ops.to_density_matrix toqito.matrix_ops.unvec toqito.matrix_ops.vectors_from_gram_matrix toqito.matrix_ops.vectors_to_gram_matrix toqito.matrix_props toqito.matrix_props.commutant toqito.matrix_props.factor_width toqito.matrix_props.has_same_dimension toqito.matrix_props.is_absolutely_k_incoherent toqito.matrix_props.is_anti_hermitian toqito.matrix_props.is_block_positive toqito.matrix_props.is_circulant toqito.matrix_props.is_commuting toqito.matrix_props.is_density toqito.matrix_props.is_diagonal toqito.matrix_props.is_diagonally_dominant toqito.matrix_props.is_hermitian toqito.matrix_props.is_idempotent toqito.matrix_props.is_identity toqito.matrix_props.is_k_incoherent toqito.matrix_props.is_ldoi toqito.matrix_props.is_linearly_independent toqito.matrix_props.is_nonnegative toqito.matrix_props.is_normal toqito.matrix_props.is_orthonormal toqito.matrix_props.is_permutation toqito.matrix_props.is_positive toqito.matrix_props.is_positive_definite toqito.matrix_props.is_positive_semidefinite toqito.matrix_props.is_projection toqito.matrix_props.is_pseudo_hermitian toqito.matrix_props.is_pseudo_unitary toqito.matrix_props.is_rank_one toqito.matrix_props.is_square toqito.matrix_props.is_stochastic toqito.matrix_props.is_symmetric toqito.matrix_props.is_totally_positive toqito.matrix_props.is_unitary toqito.matrix_props.kp_norm toqito.matrix_props.majorizes toqito.matrix_props.mutual_coherence toqito.matrix_props.positive_semidefinite_rank toqito.matrix_props.sk_norm toqito.matrix_props.spark toqito.matrix_props.trace_norm toqito.measurement_ops toqito.measurement_ops.measure toqito.measurement_props toqito.measurement_props.is_povm toqito.measurements toqito.measurements.pretty_bad_measurement toqito.measurements.pretty_good_measurement toqito.nonlocal_games toqito.nonlocal_games.binary_constraint_system_game toqito.nonlocal_games.extended_nonlocal_game toqito.nonlocal_games.nonlocal_game toqito.nonlocal_games.quantum_hedging toqito.nonlocal_games.xor_game toqito.perms toqito.perms.antisymmetric_projection toqito.perms.perfect_matchings toqito.perms.perm_sign toqito.perms.permutation_operator toqito.perms.permute_systems toqito.perms.swap toqito.perms.swap_operator toqito.perms.symmetric_projection toqito.perms.unique_perms toqito.perms.vec toqito.rand toqito.rand.random_circulant_gram_matrix toqito.rand.random_density_matrix toqito.rand.random_ginibre toqito.rand.random_orthonormal_basis toqito.rand.random_povm toqito.rand.random_psd_operator toqito.rand.random_state_vector toqito.rand.random_states toqito.rand.random_unitary toqito.state_metrics toqito.state_metrics.bures_angle toqito.state_metrics.bures_distance toqito.state_metrics.fidelity toqito.state_metrics.fidelity_of_separability toqito.state_metrics.helstrom_holevo toqito.state_metrics.hilbert_schmidt toqito.state_metrics.hilbert_schmidt_inner_product toqito.state_metrics.matsumoto_fidelity toqito.state_metrics.measured_relative_entropy toqito.state_metrics.sub_fidelity toqito.state_metrics.trace_distance toqito.state_ops toqito.state_ops.normalize toqito.state_ops.schmidt_decomposition toqito.state_opt toqito.state_opt.bell_inequality_max toqito.state_opt.bell_notation_conversions toqito.state_opt.npa_hierarchy 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 toqito.state_props toqito.state_props.abs_ppt_constraints toqito.state_props.common_quantum_overlap 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_abs_ppt toqito.state_props.is_antidistinguishable toqito.state_props.is_distinguishable 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_npt toqito.state_props.is_ppt toqito.state_props.is_product toqito.state_props.is_pure toqito.state_props.is_separable toqito.state_props.is_sic_povm toqito.state_props.is_unextendible_product_basis toqito.state_props.l1_norm_coherence toqito.state_props.learnability toqito.state_props.log_negativity toqito.state_props.negativity toqito.state_props.purity toqito.state_props.renyi_entropy toqito.state_props.schmidt_rank toqito.state_props.sk_vec_norm toqito.state_props.von_neumann_entropy toqito.states toqito.states.basis toqito.states.bb84 toqito.states.bell toqito.states.brauer toqito.states.breuer toqito.states.chessboard toqito.states.dicke 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.mutually_unbiased_basis toqito.states.pusey_barrett_rudolph toqito.states.singlet toqito.states.tile toqito.states.trine toqito.states.w_state toqito.states.werner

mutual_coherence() (in module toqito.matrix_props.mutual_coherence) mutually_unbiased_basis() (in module toqito.states.mutually_unbiased_basis)

N

natural_representation() (in module toqito.channel_ops.natural_representation) negativity() (in module toqito.state_props.negativity) NonlocalGame (class in toqito.nonlocal_games.nonlocal_game) nonsignaling_value() (toqito.nonlocal_games.extended_nonlocal_game.ExtendedNonlocalGame method) (toqito.nonlocal_games.nonlocal_game.NonlocalGame method) (toqito.nonlocal_games.xor_game.XORGame method)

normalize() (in module toqito.state_ops.normalize) np_array_as_expr() (in module toqito.helper.np_array_as_expr) npa_constraints() (in module toqito.state_opt.npa_hierarchy) null_space() (in module toqito.matrix_ops.null_space)

O

occurrences (toqito.perms.unique_perms.UniqueElement attribute)

optimal_clone() (in module toqito.state_opt.optimal_clone)

P

partial_channel() (in module toqito.channel_ops.partial_channel) partial_trace() (in module toqito.matrix_ops.partial_trace) partial_transpose() (in module toqito.matrix_ops.partial_transpose) pauli() (in module toqito.matrices.pauli) pauli_channel() (in module toqito.channels.pauli_channel) perfect_matchings() (in module toqito.perms.perfect_matchings) perm_sign() (in module toqito.perms.perm_sign) perm_unique_helper() (in module toqito.perms.unique_perms) permutation_operator() (in module toqito.perms.permutation_operator) permute_systems() (in module toqito.perms.permute_systems) perturb_vectors() (in module toqito.matrix_ops.perturb_vectors)

phase_damping() (in module toqito.channels.phase_damping) player (toqito.state_opt.npa_hierarchy.Symbol attribute) PLAYERS (in module toqito.state_opt.npa_hierarchy) positive_semidefinite_rank() (in module toqito.matrix_props.positive_semidefinite_rank) ppt_distinguishability() (in module toqito.state_opt.ppt_distinguishability) pred_mat (toqito.nonlocal_games.xor_game.XORGame attribute) pretty_bad_measurement() (in module toqito.measurements.pretty_bad_measurement) pretty_good_measurement() (in module toqito.measurements.pretty_good_measurement) primal_problem() (in module toqito.state_opt.optimal_clone) prob_mat (toqito.nonlocal_games.xor_game.XORGame attribute) purity() (in module toqito.state_props.purity) pusey_barrett_rudolph() (in module toqito.states.pusey_barrett_rudolph)

Q

quantum_value() (toqito.nonlocal_games.xor_game.XORGame method) quantum_value_lower_bound() (toqito.nonlocal_games.extended_nonlocal_game.ExtendedNonlocalGame method) (toqito.nonlocal_games.nonlocal_game.NonlocalGame method)

QuantumHedging (class in toqito.nonlocal_games.quantum_hedging) question (toqito.state_opt.npa_hierarchy.Symbol attribute)

R

random_circulant_gram_matrix() (in module toqito.rand.random_circulant_gram_matrix) random_density_matrix() (in module toqito.rand.random_density_matrix) random_ginibre() (in module toqito.rand.random_ginibre) random_orthonormal_basis() (in module toqito.rand.random_orthonormal_basis) random_povm() (in module toqito.rand.random_povm) random_psd_operator() (in module toqito.rand.random_psd_operator)

random_state_vector() (in module toqito.rand.random_state_vector) random_states() (in module toqito.rand.random_states) random_unitary() (in module toqito.rand.random_unitary) realignment() (in module toqito.channels.realignment) reduction() (in module toqito.channels.reduction) renyi_entropy() (in module toqito.state_props.renyi_entropy) reps (toqito.nonlocal_games.xor_game.XORGame attribute)

S

schmidt_decomposition() (in module toqito.state_ops.schmidt_decomposition) schmidt_rank() (in module toqito.state_props.schmidt_rank) singlet() (in module toqito.states.singlet) sk_operator_norm() (in module toqito.matrix_props.sk_norm) sk_vector_norm() (in module toqito.state_props.sk_vec_norm) spark() (in module toqito.matrix_props.spark) standard_basis() (in module toqito.matrices.standard_basis)

state_distinguishability() (in module toqito.state_opt.state_distinguishability) state_exclusion() (in module toqito.state_opt.state_exclusion) sub_fidelity() (in module toqito.state_metrics.sub_fidelity) swap() (in module toqito.perms.swap) swap_operator() (in module toqito.perms.swap_operator) Symbol (class in toqito.state_opt.npa_hierarchy) symmetric_extension_hierarchy() (in module toqito.state_opt.symmetric_extension_hierarchy) symmetric_projection() (in module toqito.perms.symmetric_projection)

T

tensor() (in module toqito.matrix_ops.tensor) tensor_comb() (in module toqito.matrix_ops.tensor_comb) tensor_unravel() (in module toqito.matrix_ops.tensor_unravel) tile() (in module toqito.states.tile) to_density_matrix() (in module toqito.matrix_ops.to_density_matrix) to_nonlocal_game() (toqito.nonlocal_games.xor_game.XORGame method) toqito module toqito.channel_metrics module toqito.channel_metrics.channel_distinguishability module toqito.channel_metrics.channel_fidelity module toqito.channel_metrics.channel_measured_relative_entropy module toqito.channel_metrics.completely_bounded_spectral_norm module toqito.channel_metrics.completely_bounded_trace_norm module toqito.channel_metrics.diamond_distance module toqito.channel_metrics.fidelity_of_separability module toqito.channel_ops module toqito.channel_ops.apply_channel module toqito.channel_ops.choi_to_kraus module toqito.channel_ops.complementary_channel module toqito.channel_ops.dual_channel module toqito.channel_ops.kraus_to_choi module toqito.channel_ops.natural_representation module toqito.channel_ops.partial_channel module toqito.channel_props module toqito.channel_props.channel_dim module toqito.channel_props.choi_rank module toqito.channel_props.is_completely_positive module toqito.channel_props.is_extremal module toqito.channel_props.is_herm_preserving module toqito.channel_props.is_positive module toqito.channel_props.is_quantum_channel module toqito.channel_props.is_trace_preserving module toqito.channel_props.is_unital module toqito.channel_props.is_unitary module toqito.channels module toqito.channels.amplitude_damping module toqito.channels.bitflip module toqito.channels.choi module toqito.channels.dephasing module toqito.channels.depolarizing module toqito.channels.ldot_channel module toqito.channels.pauli_channel module toqito.channels.phase_damping module toqito.channels.realignment module toqito.channels.reduction module toqito.helper module toqito.helper.expr_as_np_array module toqito.helper.np_array_as_expr module toqito.helper.update_odometer module toqito.matrices module toqito.matrices.cnot module toqito.matrices.comparison module toqito.matrices.cyclic_permutation_matrix module toqito.matrices.fourier module toqito.matrices.gell_mann module toqito.matrices.gen_gell_mann module toqito.matrices.gen_pauli module toqito.matrices.gen_pauli_x module toqito.matrices.gen_pauli_z module toqito.matrices.hadamard module toqito.matrices.pauli module toqito.matrices.standard_basis module toqito.matrix_ops module toqito.matrix_ops.calculate_vector_matrix_dimension module toqito.matrix_ops.null_space module toqito.matrix_ops.partial_trace module toqito.matrix_ops.partial_transpose module toqito.matrix_ops.perturb_vectors module toqito.matrix_ops.tensor module toqito.matrix_ops.tensor_comb module toqito.matrix_ops.tensor_unravel module toqito.matrix_ops.to_density_matrix module toqito.matrix_ops.unvec module toqito.matrix_ops.vectors_from_gram_matrix module toqito.matrix_ops.vectors_to_gram_matrix module toqito.matrix_props module toqito.matrix_props.commutant module toqito.matrix_props.factor_width module toqito.matrix_props.has_same_dimension module toqito.matrix_props.is_absolutely_k_incoherent module toqito.matrix_props.is_anti_hermitian module toqito.matrix_props.is_block_positive module toqito.matrix_props.is_circulant module toqito.matrix_props.is_commuting module toqito.matrix_props.is_density module toqito.matrix_props.is_diagonal module toqito.matrix_props.is_diagonally_dominant module toqito.matrix_props.is_hermitian module toqito.matrix_props.is_idempotent module toqito.matrix_props.is_identity module toqito.matrix_props.is_k_incoherent module toqito.matrix_props.is_ldoi module toqito.matrix_props.is_linearly_independent module toqito.matrix_props.is_nonnegative module toqito.matrix_props.is_normal module toqito.matrix_props.is_orthonormal module toqito.matrix_props.is_permutation module toqito.matrix_props.is_positive module toqito.matrix_props.is_positive_definite module toqito.matrix_props.is_positive_semidefinite module toqito.matrix_props.is_projection module toqito.matrix_props.is_pseudo_hermitian module toqito.matrix_props.is_pseudo_unitary module toqito.matrix_props.is_rank_one module toqito.matrix_props.is_square module toqito.matrix_props.is_stochastic module toqito.matrix_props.is_symmetric module toqito.matrix_props.is_totally_positive module toqito.matrix_props.is_unitary module toqito.matrix_props.kp_norm module toqito.matrix_props.majorizes module toqito.matrix_props.mutual_coherence module toqito.matrix_props.positive_semidefinite_rank module toqito.matrix_props.sk_norm module toqito.matrix_props.spark module toqito.matrix_props.trace_norm module

toqito.measurement_ops module toqito.measurement_ops.measure module toqito.measurement_props module toqito.measurement_props.is_povm module toqito.measurements module toqito.measurements.pretty_bad_measurement module toqito.measurements.pretty_good_measurement module toqito.nonlocal_games module toqito.nonlocal_games.binary_constraint_system_game module toqito.nonlocal_games.extended_nonlocal_game module toqito.nonlocal_games.nonlocal_game module toqito.nonlocal_games.quantum_hedging module toqito.nonlocal_games.xor_game module toqito.perms module toqito.perms.antisymmetric_projection module toqito.perms.perfect_matchings module toqito.perms.perm_sign module toqito.perms.permutation_operator module toqito.perms.permute_systems module toqito.perms.swap module toqito.perms.swap_operator module toqito.perms.symmetric_projection module toqito.perms.unique_perms module toqito.perms.vec module toqito.rand module toqito.rand.random_circulant_gram_matrix module toqito.rand.random_density_matrix module toqito.rand.random_ginibre module toqito.rand.random_orthonormal_basis module toqito.rand.random_povm module toqito.rand.random_psd_operator module toqito.rand.random_state_vector module toqito.rand.random_states module toqito.rand.random_unitary module toqito.state_metrics module toqito.state_metrics.bures_angle module toqito.state_metrics.bures_distance module toqito.state_metrics.fidelity module toqito.state_metrics.fidelity_of_separability module toqito.state_metrics.helstrom_holevo module toqito.state_metrics.hilbert_schmidt module toqito.state_metrics.hilbert_schmidt_inner_product module toqito.state_metrics.matsumoto_fidelity module toqito.state_metrics.measured_relative_entropy module toqito.state_metrics.sub_fidelity module toqito.state_metrics.trace_distance module toqito.state_ops module toqito.state_ops.normalize module toqito.state_ops.schmidt_decomposition module toqito.state_opt module toqito.state_opt.bell_inequality_max module toqito.state_opt.bell_notation_conversions module toqito.state_opt.npa_hierarchy module toqito.state_opt.optimal_clone module toqito.state_opt.ppt_distinguishability module toqito.state_opt.state_distinguishability module toqito.state_opt.state_exclusion module toqito.state_opt.state_helper module toqito.state_opt.symmetric_extension_hierarchy module toqito.state_props module toqito.state_props.abs_ppt_constraints module toqito.state_props.common_quantum_overlap module toqito.state_props.concurrence module toqito.state_props.entanglement_of_formation module toqito.state_props.has_symmetric_extension module toqito.state_props.in_separable_ball module toqito.state_props.is_abs_ppt module toqito.state_props.is_antidistinguishable module toqito.state_props.is_distinguishable module toqito.state_props.is_ensemble module toqito.state_props.is_mixed module toqito.state_props.is_mutually_orthogonal module toqito.state_props.is_mutually_unbiased_basis module toqito.state_props.is_npt module toqito.state_props.is_ppt module toqito.state_props.is_product module toqito.state_props.is_pure module toqito.state_props.is_separable module toqito.state_props.is_sic_povm module toqito.state_props.is_unextendible_product_basis module toqito.state_props.l1_norm_coherence module toqito.state_props.learnability module toqito.state_props.log_negativity module toqito.state_props.negativity module toqito.state_props.purity module toqito.state_props.renyi_entropy module toqito.state_props.schmidt_rank module toqito.state_props.sk_vec_norm module toqito.state_props.von_neumann_entropy module toqito.states module toqito.states.basis module toqito.states.bb84 module toqito.states.bell module toqito.states.brauer module toqito.states.breuer module toqito.states.chessboard module toqito.states.dicke module toqito.states.domino module toqito.states.gen_bell module toqito.states.ghz module toqito.states.gisin module toqito.states.horodecki module toqito.states.isotropic module toqito.states.max_entangled module toqito.states.max_mixed module toqito.states.mutually_unbiased_basis module toqito.states.pusey_barrett_rudolph module toqito.states.singlet module toqito.states.tile module toqito.states.trine module toqito.states.w_state module toqito.states.werner module trace_distance() (in module toqito.state_metrics.trace_distance) trace_norm() (in module toqito.matrix_props.trace_norm) trine() (in module toqito.states.trine)

U

unentangled_value() (toqito.nonlocal_games.extended_nonlocal_game.ExtendedNonlocalGame method) unique_perms() (in module toqito.perms.unique_perms)

UniqueElement (class in toqito.perms.unique_perms) unvec() (in module toqito.matrix_ops.unvec) update_odometer() (in module toqito.helper.update_odometer)

V

value (toqito.perms.unique_perms.UniqueElement attribute) vec() (in module toqito.perms.vec)

vectors_from_gram_matrix() (in module toqito.matrix_ops.vectors_from_gram_matrix) vectors_to_gram_matrix() (in module toqito.matrix_ops.vectors_to_gram_matrix) von_neumann_entropy() (in module toqito.state_props.von_neumann_entropy)

W

w_state() (in module toqito.states.w_state)

werner() (in module toqito.states.werner)

X

XORGame (class in toqito.nonlocal_games.xor_game)