Perturbation of $4\,\mathrm{tr}\,\hat{A} - \lVert\hat{A}\rVert_F^2$ under a trace-norm-bounded error

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Perturbation of $4\,\mathrm{tr}\,\hat{A} - \lVert\hat{A}\rVert_F^2$ under a trace-norm-bounded error · Prove2Me