Young tableaux¶

wiki-link

numqi implements functions to list all Young diagram and Young tableaux.

Young diagram / tableaux is used in symmetric extension to detect quantum entanglement.

In [1]:

try:
    import numqi
except ImportError:
    %pip install numqi
    import numqi

try: import numqi except ImportError: %pip install numqi import numqi

In [2]:

numqi.group.symext.get_sym_group_young_diagram(4)

numqi.group.symext.get_sym_group_young_diagram(4)

Out[2]:

array([[4, 0, 0, 0],
       [3, 1, 0, 0],
       [2, 2, 0, 0],
       [2, 1, 1, 0],
       [1, 1, 1, 1]])

In [3]:

numqi.group.print_all_young_tableaux(4)

numqi.group.print_all_young_tableaux(4)

[4]: #tableaux: 1
[0, 1, 2, 3]
==============================
[3,1]: #tableaux: 3
[0, 1, 2]
[3]
------------------------------
[0, 1, 3]
[2]
------------------------------
[0, 2, 3]
[1]
==============================
[2,2]: #tableaux: 2
[0, 1]
[2, 3]
------------------------------
[0, 2]
[1, 3]
==============================
[2,1,1]: #tableaux: 3
[0, 1]
[2]
[3]
------------------------------
[0, 2]
[1]
[3]
------------------------------
[0, 3]
[1]
[2]
==============================
[1,1,1,1]: #tableaux: 1
[0]
[1]
[2]
[3]
==============================