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How to convert tableau representation of random clifford gate into its matrix representation using stim?

Stim v1.8 doesn't have a method to do this, but you can get around that by using the state channel duality and the tableau simulator's state_vector method. Note that, once you get past 8 qubit ...
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How does a Hadamard gate impact the initial/previous values of a Qubit?

I think you might just be misunderstanding the Hadamard gate slightly. In the computational basis, $H= \frac{1}{\sqrt{2}}\begin{pmatrix} 1 & 1 \\ 1 & -1\end{pmatrix}$ maps $|0\rangle \...
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Do unitary matrices acting on entangled states always give a quantum state?

Yes, you can absolutely simplify down. The problem you're having isn't one of simplification, rather one of counting all the terms in the normalisation, although you appear to have picked up a stray $\...
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Understanding Controlled Operation

The best way to see this is through an example. Consider the circuit below: qubit that is in an eigenstate of the unitary Note that $|-\rangle$ is an eigenstate ...
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Homeomorphism or stereographic projection corresponding to the set of mixed states within the Bloch sphere

I'm late to the party, but here's my take: Pure qubit states As you said, the space of pure states of a single qubit can be described as a complex projective line $\mathbb{C}P^1$, which is ...
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What is the maximally entangled state in Choi matrix?

Definition of Choi–Jamiołkowski isomorphism states that $d$ is the dimension of the hilbert space while your generalized GHZ states is still with hilbert space dimension $2$ for each subsystem. The ...

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