qit.invariant

Local invariants

This module contains tools for computing and plotting the values of various gate and state local invariants.

Contents

state_inv(rho, k, perms)	Local unitary polynomial invariants of quantum states.
canonical_inv(U)	Canonical local invariants of a two-qubit gate.
canonical_inv_normalize(c[, fix_jittering])	Normalizes canonical local invariants into the default Weyl chamber.
makhlin_inv(U)	Makhlin local invariants of a two-qubit gate.
gate_max_concurrence(U)	Maximum concurrence generated by a two-qubit gate.
gate_adjoint_rep(U, dim[, only_local])	Adjoint representation of a unitary gate in the hermitian tensor basis.
gate_leakage_inv(U, dim[, Z, W])	Local degrees of freedom leaked by a unitary gate.
plot_makhlin_2q([ax, perfect_entanglers, …])	Plots the set of two-qubit gates in the space of Makhlin invariants.
plot_weyl_2q([ax, perfect_entanglers])	Plots the two-qubit Weyl chamber.

Functions

canonical_inv(U)	Canonical local invariants of a two-qubit gate.
canonical_inv_normalize(c[, fix_jittering])	Normalizes canonical local invariants into the default Weyl chamber.
gate_adjoint_rep(U, dim[, only_local])	Adjoint representation of a unitary gate in the hermitian tensor basis.
gate_leakage_inv(U, dim[, Z, W])	Local degrees of freedom leaked by a unitary gate.
gate_max_concurrence(U)	Maximum concurrence generated by a two-qubit gate.
makhlin_inv(U)	Makhlin local invariants of a two-qubit gate.
plot_makhlin_2q([ax, perfect_entanglers, …])	Plots the set of two-qubit gates in the space of Makhlin invariants.
plot_weyl_2q([ax, perfect_entanglers])	Plots the two-qubit Weyl chamber.
state_inv(rho, k, perms)	Local unitary polynomial invariants of quantum states.