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First provide a summary of the paper, and then address the following criteria: Quality, clarity, originality and significance. This paper considers the estimation of an unknown vector v0 from noisy quadratic observations and some additional information regarding v0. Specifically, it considers that the unknown vector v0 is from a convex cone. It rigorously shows that the resulting optimization problem is tractable. Note that the resulting optimization problem in Eq.(3) is non-convex.