Index

_

__get_game_dims() (nonlocal_games.extended_nonlocal_game.ExtendedNonlocalGame method) __is_probs_valid() (in module state_opt.state_helper) __is_states_valid() (in module state_opt.state_helper) __lower_bound_sk_norm_randomized() (in module matrix_props.sk_norm) __optimize_alice() (nonlocal_games.extended_nonlocal_game.ExtendedNonlocalGame method) (nonlocal_games.nonlocal_game.NonlocalGame method) __optimize_bob() (nonlocal_games.extended_nonlocal_game.ExtendedNonlocalGame method) (nonlocal_games.nonlocal_game.NonlocalGame method) __target_is_proved() (in module matrix_props.sk_norm) _check_psd_rank() (in module matrix_props.positive_semidefinite_rank) _dim (nonlocal_games.quantum_hedging.QuantumHedging attribute) _expand_dim() (in module helper.channel_dim) _gen_words() (in module state_opt.npa_hierarchy) _get_nonlocal_game_params() (in module state_opt.npa_hierarchy) _hamming_distance() (in module matrices.hadamard) _is_identity() (in module state_opt.npa_hierarchy) _is_meas() (in module state_opt.npa_hierarchy) _is_meas_on_one_player() (in module state_opt.npa_hierarchy) _is_prime_power() (in module states.mutually_unbiased_basis)

_is_product() (in module state_props.is_product) _is_zero() (in module state_opt.npa_hierarchy) _min_error_dual() (in module state_opt.ppt_distinguishability) (in module state_opt.state_distinguishability) (in module state_opt.state_exclusion) _min_error_primal() (in module state_opt.ppt_distinguishability) (in module state_opt.state_distinguishability) (in module state_opt.state_exclusion) _num_reps (nonlocal_games.quantum_hedging.QuantumHedging attribute) _operator_is_product() (in module state_props.is_product) _operator_schmidt_decomposition() (in module state_ops.schmidt_decomposition) _operator_schmidt_rank() (in module state_props.schmidt_rank) _parse() (in module state_opt.npa_hierarchy) _q_a (nonlocal_games.quantum_hedging.QuantumHedging attribute) _reduce() (in module state_opt.npa_hierarchy) _sys (nonlocal_games.quantum_hedging.QuantumHedging attribute) _unambiguous_dual() (in module state_opt.state_distinguishability) (in module state_opt.state_exclusion) _unambiguous_primal() (in module state_opt.state_distinguishability) (in module state_opt.state_exclusion)

A

amplitude_damping() (in module channels.amplitude_damping) answer (state_opt.npa_hierarchy.Symbol attribute)

antisymmetric_projection() (in module perms.antisymmetric_projection) apply_channel() (in module channel_ops.apply_channel)

B

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

bitflip() (in module channels.bitflip) brauer() (in module states.brauer) breuer() (in module states.breuer) bures_angle() (in module state_metrics.bures_angle) bures_distance() (in module state_metrics.bures_distance)

C

calculate_vector_matrix_dimension() (in module matrix_ops.calculate_vector_matrix_dimension) channel_dim() (in module helper.channel_dim) channel_fidelity() (in module channel_metrics.channel_fidelity) channel_metrics module channel_metrics.channel_fidelity module channel_metrics.completely_bounded_spectral_norm module channel_metrics.completely_bounded_trace_norm module channel_metrics.diamond_distance module channel_metrics.fidelity_of_separability module channel_ops module channel_ops.apply_channel module channel_ops.choi_to_kraus module channel_ops.complementary_channel module channel_ops.dual_channel module channel_ops.kraus_to_choi module channel_ops.natural_representation module channel_ops.partial_channel module channel_props module channel_props.choi_rank module channel_props.is_completely_positive module channel_props.is_extremal module channel_props.is_herm_preserving module channel_props.is_positive module channel_props.is_quantum_channel module

channel_props.is_trace_preserving module channel_props.is_unital module channel_props.is_unitary module channels module channels.amplitude_damping module channels.bitflip module channels.choi module channels.dephasing module channels.depolarizing module channels.pauli_channel module channels.phase_damping module channels.realignment module channels.reduction module chessboard() (in module states.chessboard) choi() (in module channels.choi) choi_rank() (in module channel_props.choi_rank) choi_to_kraus() (in module channel_ops.choi_to_kraus) classical_value() (nonlocal_games.nonlocal_game.NonlocalGame method) (nonlocal_games.xor_game.XORGame method) cnot() (in module matrices.cnot) common_quantum_overlap() (in module state_props.common_quantum_overlap) commutant() (in module matrix_props.commutant) commuting_measurement_value_upper_bound() (nonlocal_games.extended_nonlocal_game.ExtendedNonlocalGame method) (nonlocal_games.nonlocal_game.NonlocalGame method) comparison() (in module matrices.comparison) complementary_channel() (in module channel_ops.complementary_channel) completely_bounded_spectral_norm() (in module channel_metrics.completely_bounded_spectral_norm) completely_bounded_trace_norm() (in module channel_metrics.completely_bounded_trace_norm) concurrence() (in module state_props.concurrence) cyclic_permutation_matrix() (in module matrices.cyclic_permutation_matrix)

D

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

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

E

entanglement_of_formation() (in module state_props.entanglement_of_formation)

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

F

fidelity() (in module state_metrics.fidelity) fidelity_of_separability() (in module channel_metrics.fidelity_of_separability) (in module state_metrics.fidelity_of_separability)

fourier() (in module matrices.fourier) from_bcs_game() (nonlocal_games.nonlocal_game.NonlocalGame class method)

G

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

gen_pauli_x() (in module matrices.gen_pauli_x) gen_pauli_z() (in module matrices.gen_pauli_z) ghz() (in module states.ghz) gisin() (in module states.gisin)

H

hadamard() (in module matrices.hadamard) has_same_dimension() (in module matrix_props.has_same_dimension) has_symmetric_extension() (in module state_props.has_symmetric_extension) helper module helper.channel_dim module helper.expr_as_np_array module

helper.np_array_as_expr module helper.update_odometer module helstrom_holevo() (in module state_metrics.helstrom_holevo) hilbert_schmidt() (in module state_metrics.hilbert_schmidt) hilbert_schmidt_inner_product() (in module state_metrics.hilbert_schmidt_inner_product) horodecki() (in module states.horodecki)

I

IDENTITY_SYMBOL (in module state_opt.npa_hierarchy) in_separable_ball() (in module state_props.in_separable_ball) is_absolutely_k_incoherent() (in module matrix_props.is_absolutely_k_incoherent) is_anti_hermitian() (in module matrix_props.is_anti_hermitian) is_antidistinguishable() (in module state_props.is_antidistinguishable) is_block_positive() (in module matrix_props.is_block_positive) is_circulant() (in module matrix_props.is_circulant) is_commuting() (in module matrix_props.is_commuting) is_completely_positive() (in module channel_props.is_completely_positive) is_density() (in module matrix_props.is_density) is_diagonal() (in module matrix_props.is_diagonal) is_diagonally_dominant() (in module matrix_props.is_diagonally_dominant) is_distinguishable() (in module state_props.is_distinguishable) is_ensemble() (in module state_props.is_ensemble) is_extremal() (in module channel_props.is_extremal) is_herm_preserving() (in module channel_props.is_herm_preserving) is_hermitian() (in module matrix_props.is_hermitian) is_idempotent() (in module matrix_props.is_idempotent) is_identity() (in module matrix_props.is_identity) is_k_incoherent() (in module matrix_props.is_k_incoherent) is_linearly_independent() (in module matrix_props.is_linearly_independent) is_mixed() (in module state_props.is_mixed) is_mutually_orthogonal() (in module state_props.is_mutually_orthogonal) is_mutually_unbiased_basis() (in module state_props.is_mutually_unbiased_basis) is_nonnegative() (in module matrix_props.is_nonnegative) is_normal() (in module matrix_props.is_normal)

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

K

kp_norm() (in module matrix_props.kp_norm)

kraus_to_choi() (in module channel_ops.kraus_to_choi)

L

l1_norm_coherence() (in module state_props.l1_norm_coherence)

log_negativity() (in module state_props.log_negativity)

M

majorizes() (in module matrix_props.majorizes) matrices module matrices.cnot module matrices.comparison module matrices.cyclic_permutation_matrix module matrices.fourier module matrices.gell_mann module matrices.gen_gell_mann module matrices.gen_pauli module matrices.gen_pauli_x module matrices.gen_pauli_z module matrices.hadamard module matrices.pauli module matrices.standard_basis module matrix_ops module matrix_ops.calculate_vector_matrix_dimension module matrix_ops.partial_trace module matrix_ops.partial_transpose module matrix_ops.perturb_vectors module matrix_ops.tensor module matrix_ops.tensor_comb module matrix_ops.to_density_matrix module matrix_ops.unvec module matrix_ops.vectors_from_gram_matrix module matrix_ops.vectors_to_gram_matrix module matrix_props module matrix_props.commutant module matrix_props.has_same_dimension module matrix_props.is_absolutely_k_incoherent module matrix_props.is_anti_hermitian module matrix_props.is_block_positive module matrix_props.is_circulant module matrix_props.is_commuting module matrix_props.is_density module matrix_props.is_diagonal module matrix_props.is_diagonally_dominant module matrix_props.is_hermitian module matrix_props.is_idempotent module matrix_props.is_identity module matrix_props.is_k_incoherent module matrix_props.is_linearly_independent module matrix_props.is_nonnegative module matrix_props.is_normal module matrix_props.is_orthonormal module matrix_props.is_permutation module matrix_props.is_positive module matrix_props.is_positive_definite module matrix_props.is_positive_semidefinite module matrix_props.is_projection module matrix_props.is_pseudo_hermitian module matrix_props.is_pseudo_unitary module matrix_props.is_square module matrix_props.is_stochastic module matrix_props.is_symmetric module matrix_props.is_totally_positive module matrix_props.is_unitary module matrix_props.kp_norm module matrix_props.majorizes module matrix_props.mutual_coherence module matrix_props.positive_semidefinite_rank module matrix_props.sk_norm module matrix_props.spark module matrix_props.trace_norm module matsumoto_fidelity() (in module state_metrics.matsumoto_fidelity) max_entangled() (in module states.max_entangled) max_mixed() (in module states.max_mixed) max_prob_outcome_a_dual() (nonlocal_games.quantum_hedging.QuantumHedging method) max_prob_outcome_a_primal() (nonlocal_games.quantum_hedging.QuantumHedging method) measure() (in module measurement_ops.measure) measurement_ops module measurement_ops.measure module measurement_props module measurement_props.is_povm module measurements module measurements.pretty_bad_measurement module measurements.pretty_good_measurement module min_prob_outcome_a_dual() (nonlocal_games.quantum_hedging.QuantumHedging method) min_prob_outcome_a_primal() (nonlocal_games.quantum_hedging.QuantumHedging method) module 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 measurement_ops measurement_ops.measure measurement_props measurement_props.is_povm measurements measurements.pretty_bad_measurement measurements.pretty_good_measurement 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

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

N

natural_representation() (in module channel_ops.natural_representation) negativity() (in module state_props.negativity) nonlocal_games module nonlocal_games.extended_nonlocal_game module nonlocal_games.nonlocal_game module nonlocal_games.quantum_hedging module

nonlocal_games.xor_game module NonlocalGame (class in nonlocal_games.nonlocal_game) nonsignaling_value() (nonlocal_games.extended_nonlocal_game.ExtendedNonlocalGame method) (nonlocal_games.nonlocal_game.NonlocalGame method) (nonlocal_games.xor_game.XORGame method) np_array_as_expr() (in module helper.np_array_as_expr) npa_constraints() (in module state_opt.npa_hierarchy)

O

occurrences (perms.unique_perms.UniqueElement attribute)

optimal_clone() (in module state_opt.optimal_clone)

P

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

perms.symmetric_projection module perms.unique_perms module perms.vec module permutation_operator() (in module perms.permutation_operator) permute_systems() (in module perms.permute_systems) perturb_vectors() (in module matrix_ops.perturb_vectors) phase_damping() (in module channels.phase_damping) player (state_opt.npa_hierarchy.Symbol attribute) PLAYERS (in module state_opt.npa_hierarchy) positive_semidefinite_rank() (in module matrix_props.positive_semidefinite_rank) ppt_distinguishability() (in module state_opt.ppt_distinguishability) pred_mat (nonlocal_games.xor_game.XORGame attribute) pretty_bad_measurement() (in module measurements.pretty_bad_measurement) pretty_good_measurement() (in module measurements.pretty_good_measurement) primal_problem() (in module state_opt.optimal_clone) prob_mat (nonlocal_games.xor_game.XORGame attribute) process_iteration() (nonlocal_games.nonlocal_game.NonlocalGame method) purity() (in module state_props.purity) pusey_barrett_rudolph() (in module states.pusey_barrett_rudolph)

Q

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

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

R

rand module rand.random_circulant_gram_matrix module rand.random_density_matrix module rand.random_ginibre module rand.random_orthonormal_basis module rand.random_povm module rand.random_psd_operator module rand.random_state_vector module

rand.random_states module rand.random_unitary module random_circulant_gram_matrix() (in module rand.random_circulant_gram_matrix) random_density_matrix() (in module rand.random_density_matrix) random_ginibre() (in module rand.random_ginibre) random_orthonormal_basis() (in module rand.random_orthonormal_basis) random_povm() (in module rand.random_povm) random_psd_operator() (in module rand.random_psd_operator) random_state_vector() (in module rand.random_state_vector) random_states() (in module rand.random_states) random_unitary() (in module rand.random_unitary) realignment() (in module channels.realignment) reduction() (in module channels.reduction) reps (nonlocal_games.xor_game.XORGame attribute)

S

schmidt_decomposition() (in module state_ops.schmidt_decomposition) schmidt_rank() (in module state_props.schmidt_rank) singlet() (in module states.singlet) sk_operator_norm() (in module matrix_props.sk_norm) sk_vector_norm() (in module state_props.sk_vec_norm) spark() (in module matrix_props.spark) standard_basis() (in module matrices.standard_basis) state_distinguishability() (in module state_opt.state_distinguishability) state_exclusion() (in module state_opt.state_exclusion) state_metrics module state_metrics.bures_angle module state_metrics.bures_distance module state_metrics.fidelity module state_metrics.fidelity_of_separability module state_metrics.helstrom_holevo module state_metrics.hilbert_schmidt module state_metrics.hilbert_schmidt_inner_product module state_metrics.matsumoto_fidelity module state_metrics.sub_fidelity module state_metrics.trace_distance module state_ops module state_ops.schmidt_decomposition module state_opt module state_opt.bell_inequality_max module state_opt.npa_hierarchy module state_opt.optimal_clone module state_opt.ppt_distinguishability module state_opt.state_distinguishability module state_opt.state_exclusion module state_opt.state_helper module state_opt.symmetric_extension_hierarchy module state_props module state_props.common_quantum_overlap module state_props.concurrence module state_props.entanglement_of_formation module state_props.has_symmetric_extension module state_props.in_separable_ball module state_props.is_antidistinguishable module state_props.is_distinguishable module state_props.is_ensemble module state_props.is_mixed module state_props.is_mutually_orthogonal module state_props.is_mutually_unbiased_basis module

state_props.is_npt module state_props.is_ppt module state_props.is_product module state_props.is_pure module state_props.is_separable module state_props.is_unextendible_product_basis module state_props.l1_norm_coherence module state_props.log_negativity module state_props.negativity module state_props.purity module state_props.schmidt_rank module state_props.sk_vec_norm module state_props.von_neumann_entropy module states module states.basis module states.bb84 module states.bell module states.brauer module states.breuer module states.chessboard module states.dicke module states.domino module states.gen_bell module states.ghz module states.gisin module states.horodecki module states.isotropic module states.max_entangled module states.max_mixed module states.mutually_unbiased_basis module states.pusey_barrett_rudolph module states.singlet module states.tile module states.trine module states.w_state module states.werner module sub_fidelity() (in module state_metrics.sub_fidelity) swap() (in module perms.swap) swap_operator() (in module perms.swap_operator) Symbol (class in state_opt.npa_hierarchy) symmetric_extension_hierarchy() (in module state_opt.symmetric_extension_hierarchy) symmetric_projection() (in module perms.symmetric_projection)

T

tensor() (in module matrix_ops.tensor) tensor_comb() (in module matrix_ops.tensor_comb) tile() (in module states.tile) to_density_matrix() (in module matrix_ops.to_density_matrix)

to_nonlocal_game() (nonlocal_games.xor_game.XORGame method) trace_distance() (in module state_metrics.trace_distance) trace_norm() (in module matrix_props.trace_norm) trine() (in module states.trine)

U

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

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

V

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

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

W

w_state() (in module states.w_state)

werner() (in module states.werner)

X

XORGame (class in nonlocal_games.xor_game)