weylchamber package

Top-level package for weylchamber.

Submodules:

• weylchamber.cartan_decomposition module
• weylchamber.coordinates module
• weylchamber.gates module
• weylchamber.local_invariants module
• weylchamber.perfect_entanglers module
• weylchamber.prec module
• weylchamber.visualize module

Summary

__all__ Classes:

WeylChamber

Class for plotting data in the Weyl Chamber

__all__ Functions:

F_PE	Evaluate the Perfect-Entangler Functional
J_T_LI	Calculate value of the local-invariants functional
bell_basis	Two-qubit Bell basis associated with the given canonical basis
c1c2c3	Calculate Weyl chamber coordinates \((c_1, c_2, c_3)\)
canonical_gate	Return the canonical gate for the given \((c_1, c_2, c_3)\)
cartan_decomposition	Calculate the Cartan Decomposition of the given U in U(4)
closest_LI	Find the closest gate that has the given Weyl chamber coordinates
concurrence	Calculate the concurrence directly from the Weyl Chamber coordinates
from_magic	The inverse of to_magic()
g1g2g3	Calculate local invariants \((g_1, g_3, g_3)\)
g1g2g3_from_c1c2c3	Calculate local invariants from the Weyl chamber coordinates
gate	Two-qubit gate that maps basis to states
mapped_basis	Result of applying gate to basis
point_in_region	Check if \((c_1, c_2, c_3)\) are in the given region of the Weyl chamber
point_in_weyl_chamber	Check if the coordinates \((c_1, c_2, c_3)\) are inside the Weyl chamber
project_to_PE	Project onto the boundary surface of the perfect entanglers
random_gate	Return a random two-qubit gate
random_weyl_point	Return a random point \((c_1, c_2, c_3)\) in the Weyl chamber (units of π)
to_magic	Convert A from the canonical basis to the the “magic” Bell basis
weyl_region	Return the region of the Weyl chamber the given point is in.