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doc/src/week6/Latexexamples/additional2week6.tex

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\newcommand{\Y}{\sigma_y}
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\newcommand{\I}{\mathbbm{1}}
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\title[VQE for a Two-Qubit Hamiltonian]{}
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\author{}
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\date{}
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\title[VQE for a Two-Qubit Hamiltonian]{How do we measure?}
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\author{Morten Hjorth-Jensen}
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\date{Spring 2026}
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\begin{document}
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% ============================================================
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\begin{frame}{Formal fact 1: single-qubit statistics depend only on the reduced state}
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Let \(\{M_m\}\) be a POVM performed \emph{only} on qubit 1. Operationally this corresponds to
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Let \(\{M_m\}\) be a POVM (s a measure whose values are positive semi-definite operators on a Hilbert space) performed \emph{only} on qubit 1. Operationally this corresponds to
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measurement operators \(\{M_m\otimes \I\}\) on the two-qubit system.
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\medskip

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