Question about transition matrix Q in D3PM diffusion model for discrete state space

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I have a question related to the following equations which are addressed in the section 3 of D3PM (Austin et al., 2021, NIPS, arXiv: 2107.03006v3: https://arxiv.org/pdf/2107.03006.pdf).

It's about transition matrix Q that is used in discrete diffusion models.

My question is, when I rewrote the left hand side of eq. (3), I got the eq. (4). How can I convert eq.(4) to eq. (3)?

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