List of functions

This is a list of functions provided by QETLAB, arranged by category. If you would prefer an alphabetical list of all functions please see this page. Brief descriptions of these functions are provided here, as well as links to their documentation pages, where full details and numerous examples can be found.

Entanglement and Separability

• IsPPT: Determines whether or not a matrix has positive partial transpose
• SchmidtDecomposition: Computes the Schmidt decomposition of a bipartite vector
• SchmidtNumber: (coming soon)
• SchmidtRank: Computes the Schmidt rank of a bipartite vector
• SymmetricExtension: Determines whether or not an operator has a symmetric extension

Permutations and Symmetry of Subsystems

• AntisymmetricProjection: Produces the projection onto the antisymmetric subspace
• PermutationOperator: Produces a unitary operator that permutes subsystems
• PermuteSystems: Permutes subsystems within a state or operator
• Swap: Swaps two subsystems within a state or operator
• SwapOperator: Produces a unitary operator that swaps two subsystems
• SymmetricProjection: Produces the projection onto the symmetric subspace

Random Things

• RandomDensityMatrix: Generates a random density matrix
• RandomStateVector: Generates a random pure state vector
• RandomSuperoperator: (coming soon)
• RandomUnitary: Generates a random unitary or orthogonal matrix

Special States

• IsotropicState: (coming soon)
• MaxEntangled: Produces a maximally entangled bipartite pure state
• WernerState: Produces a Werner state

Special Superoperators

• PartialTrace: Computes the partial trace of a matrix
• PartialTranspose: Computes the partial transpose of a matrix

Miscellaneous

• Commutant: Computes the commutant of a set of matrices
• IsPSD: Determines whether or not a matrix is positive semidefinite

Helper Functions

• opt_args: Handles optional input arguments for functions
• perm_sign: Computes the sign of a permutation
• spnull: (coming soon)
• sporth: (coming soon)