Quantum Computing Asked by Callum on August 20, 2021
I am trying to implement a Grassmann algebra in Python and was wondering if anyone could recommend any packages or suggest how to do so?
I want to define the following multiplication rules over $Bbb{C}^{2n}$ with standard basis vectors $e_j$ via $$e_j^2=0 text{ and the anti-commutation rule } e_ie_j+e_je_i=0$$
I then plan on defining an exponential function of quadratic terms in these basis vectors in a way that respects the relations above, ie $exp{(ie_ae_b)}$, via the power series definition.
I would be very grateful for any suggestions on how to program this!
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