The mere idea of measuring a quantity changes it. After all, we are mortal beings, devoid of god-like powers, we can only measure things rather than direct observations of microscopic systems.
Hence, it is important to understand Measurements in Quantum Systems and Fundamental Theory.
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In quantum mechanics and thereby quantum information science, Hermitian matrices are utilized because the result of a measurement is determined by the matrix’s eigenvalues, which must be real since physical quantities such as energy and angular momentum are observable and real. Operators related to physical quantities are represented by Hermitian matrices to ensure real eigenvalues.
https://medium.com/quantum-frontiers/hermitian-products-in-quantum-information-science-ae37bf7ab4f9
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Rαhul Bhαdαni