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We present a detailed account of quantum state estimation by joint maximization of the likelihood and the entropy.
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The word “beam splitter”, used in this context, represents a class of possible apparatuses for splitting photon pulses, which includes conventional beam splitters, optical fibers, etc
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In order to talk about a physical position ket | x j ⟩ \left|{x_{j}}\right> , it is important to understand that the specification of x j x_{j} comes with a certain finite precision. As such, these physical kets now normalize to the Kronecker delta, that is ⟨ x j | x j ′ ⟩ = δ j j ′ \langle x_{j}|x_{j^{\prime}}\rangle=\delta_{jj^{\prime}}
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