3 April 2008 The A-V formula, its justification, and implications for signal enhancement
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Abstract
We have establish a more rigorous formulation of the AV-formula by illustrating how it can be derived from the Projection Theorem. This connection with the Projection Theorem enables us to establish an additional formula as well as show how to calculate the higher powers of the observable in terms of the formulas for Â|Ψ⟩ and Â|Ψ⊥⟩. Additionally discussed the relevance of the expression to weak values from the formulas for a post selection state |ζ⟩.
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John E. Gray, John E. Gray, Jeff Tollaksen, Jeff Tollaksen, "The A-V formula, its justification, and implications for signal enhancement", Proc. SPIE 6976, Quantum Information and Computation VI, 69760S (3 April 2008); doi: 10.1117/12.778095; https://doi.org/10.1117/12.778095
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