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Purva Thakre edited this page Jul 23, 2024
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Welcome to the toqito wiki!
Mission: Enable scientists to discover new results in quantum information theory via sophisticated software.
Objective: To act as the primary software arsenal for tackling numerical problems pertaining to quantum states, channels, and measurements in quantum information theory.
Contributing: Consult the contribution guide for instructions on how to help improve the toqito project and accelerate our numerical tools for this field.
-
Port
cvxquad
from MATLAB to functions withinchannels/*
.- lieb_ando.m
- matrix_geo_mean_epi_cone.m
- matrix_geo_mean_hypo_cone.m
- op_rel_entr_epi_cone.m
- quantum_cond_entr.m
- quantum_entr.m
- quantum_rel_entr.m
- rel_entr_quad.m
- trace_logm.m
- trace_mpower.m
- cq_channel_capacity.m
- degradable_channels_capacity.m
- entanglement_assisted_capacity.m
- nearest_correlation_matrix.m
- rel_entr_entanglement.m
- rel_entr_recovery.m
-
Port
QETLAB
functions from MATLAB to functions withintoqito
:- AbsPPTConstraints.m
-
AntisymmetricProjection.m(perms/antisymmetric_projection.py
) -
ApplyMap.m(channel_ops/apply_channel.py
) -
BCSGameLB.m(nonlocal_games/nonlocal_game.py
) -
BCSGameValue.m(nonlocal_games/nonloca_game.py
) -
Bell.m(states/bell.py
) - BellInequalityMax.m
- BellInequalityMaxQubits.m
-
BrauerStates.m(states/brauer.py
) -
BreuerStates.m(states/breuer.py
) -
CBNorm.m(channel_metrics/completely_bounded_trace_norm.py
) - ChannelDistinguishability.m
-
ChessboardState.m(states/chessboard.py
) -
ChoiMap.m(channels/choi.py
) - ChoiMatrix.m
- CliqueNumber.m
- Commutant.m
- ComplementaryMap.m
-
Concurrence.m(state_props/concurrence.py
) - CopositivePolynomial.m
-
DephasingChannel.m(channels/dephasing_channel.py
) -
DepolarizingChannel.m(channels/depolarizing_channel.py
) -
DiamondNorm.m(channel_props/diamond_norm.py
) - DickeState.m
- Distinguishability.m
-
DualMap.m(channel_ops/dual_channel.py
) -
EntFormation.m(state_props/entanglement_of_formation.py
) - EntangledSubspace.m
-
Entropy.m(state_props/von_neumann_entropy.py
) -
Fidelity.m(state_metrics/fidelity.py
) - FilterNormalForm.m
-
FourierMatrix.m(matrices/fourier_matrix.py
) -
GHZState.m(states/ghz_state.py
) -
GellMann.m(matrices/gell_mann.py
) -
GenGellMann.m(matrices/gen_gell_mann.py
) -
GenPauli.m(matrices/gen_pauli.py
) -
GisinState.m(states/gisin_state.py
) -
HorodeckiState.m(states/horodecki_state.py
) -
InSeparableBall.m(state_props/in_separable_ball.py
) - InducedMatrixNorm.m
- InducedSchattenNorm.m
- IsAbsPPT.m
-
IsBlockPositive.m(matrix_props/is_block_positive.py
) -
IsCP.m(channel_props/is_completely_positive.py
) - IsCopositive.m
- IsEntanglingGate.m
-
IsHermPreserving.m(channel_props/is_herm_preserving.py
) -
IsPPT.m(state_props/is_ppt.py
) -
IsPSD.m(matrix_props/is_positive_semidefinite.py
) -
IsProductOperator.m(state_props/is_product.py
) -
IsProductVector.m(state_props/is_product.py
) -
IsSeparable.m(state_props/is_separable.py
) - IsTotallyNonsingular.m
-
IsTotallyPositive.m(matrix_props/is_totally_positive.py
) -
IsUPB.m(state_props/is_unextendible_product_basis.py
) -
IsotropicState.m(states/isotropic_state.py
) -
KrausOperators.m(channel_ops/kraus_to_choi.py
) and (channel_ops/choi_to_kraus.py
) - KyFanNorm.m
-
L1NormCoherence.m(matrix_props/l1_norm_coherence.py
) - LocalDistinguishability.m
-
Majorizes.m(state_props/majorizes.py
) -
MatsumotoFidelity.m(state_metrics/matsumoto_fidelity.py
) -
MaxEntangled.m(states/max_entangled.py
) - MaximumOutputFidelity.m
- MinUPBSize.m
-
NPAHierarchy.m(helper/npa_hierarchy.py
) -
Negativity.m(state_props/negativity.py
) -
NonlocalGameLB.m(nonlocal_games/nonlocal_game.py
) -
OperatorSchmidtDecomposition.m(state_ops/schmidt_decomposition.py
) -
OperatorSchmidtRank.m(state_props/schmidt_rank.py
) - OperatorSinkhorn.m
-
ParallelRepetition.m(nonlocal_games/nonlocal_game.py
) -
PartialMap.m(channels/partial_channel.py
) -
PartialTrace.m(channels/partial_trace.py
) -
PartialTranspose.m(channels/partial_transpose.py
) -
Pauli.m(matrices/pauli.py
) - PauliChannel.m
-
PermutationOperator.m(perms/permutation_operator.py
) -
PermuteSystems.m(perms/permutate_systems.py
) - PolynomialAsMatrix.m
- PolnyomialOptimize.m
- PolynomialSOS.m
-
Purity.m(state_props/purity.py
) -
RandomDensityMatrix.m(rand/random_density_matrix.py
) - RandomGraph.m
-
RandomPOVM.m(rand/random_povm.py
) - RandomPPTState.m
- RandomProbabilities.m
-
RandomStateVector.m(rand/random_state_vector.py
) - RandomSuperoperator.m
-
RandomUnitary.m(rand/random_unitary.py
) -
Realignment.m(channels/realignment.py
) -
ReductionMap.m(channels/reduction.py
) - RelEntCoherence.m
- RobustnessCoherence.m
- SchattenNorm.m
-
SchmidtDecomposition.m(state_ops/schmidt_decomposition.py
) -
SchmidtRank.m(state_props/schmidt_rank.py
) -
SkOperatorNorm.m(matrix_props/sk_norm.py
) -
SkVectorNorm.m(state_props/sk_vec_norm.py
) -
Swap.m(perms/swap.py
) -
SwapOperator.m(perms/swap_operator.py
) -
SymmetricExtension.m(state_opt/symmetric_extension_hierarchy.py
) - SymmetricInnerExtension.m
-
SymmetricProjection.m(perms/symmetric_projection.py
) -
Tensor.m(matrix_ops/tensor.py
) - TensorSum.m
- TraceDistanceCoherence.m
-
TraceNorm.m(state_props/trace_norm.py
) - Twirl.m
- UPB.m
- UPBSepDistinguishable.m
-
WState.m(states/w_state.py
) -
WernerState.m(states/werner.py
) -
XORGameValue.m(nonlocal_games/xor_game.py
) -
kpNorm.m(matrix_props/kp_norm.py
) - kpNormDual.m