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### Is it possible to perform the following computation in mathematica?

Consider the following defined commutation relations: $$[\hat a,\hat a^{\dagger}]=1$$ $$[\hat b,\hat b^{\dagger}]=1$$ $$[\hat a,\hat b]=0$$ (where the usual algebra of commutators holds) Let us now ...
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1 vote
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### Forming Kronecker products for "non-adjacent" vector spaces

In quantum mechanics, we often want to build operators acting on multiple particles by simply "Kronecker-ing" operators from the single-particle spaces. That is, if I have some matrix $A$ acting on ...
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### Is there a way to do Quantum Computing in Mathematica notebook?

I saw 2 efforts in that direction: WSS17 and WSS16, but I am not sure if there is something in the latest Mathematica that actually allows users to simulate quantum gates. Can anyone please point me ...
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1 vote
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### Convert, using the Pauli matrices, an $n \times m$ matrix of quaternions into a $2 n \times 2 m$ matrix with complex entries, and vice versa

I'd like to go between $n \times m$ matrices with quaternionic entries to (using, it would seem, the Pauli matrix conversion scheme) to $2 n \times 2 m$ matrices with complex entries, and vice versa. ...
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### multiplication of vector spaces

Original Question Disclaimer: The question motivated by the product of Hilbert spaces which arises from separate degrees of freedom which a system might contain in quantum technical system. Examples ...
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