A HHL quantum algorithm and the phase estimation

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In HHL algorithm, does the controlled unitary (Hamiltonian simulation part of Quantum phase estimation) depend on Hermitian matrix coefficients and how?
In HHL algorithm, does the controlled unitary (Hamiltonian simulation part of Quantum phase estimation) depend on Hermitian matrix coefficients and how?
 
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Yes, the controlled unitary used in the Hamiltonian simulation part of Quantum Phase Estimation depends on the Hermitian matrix coefficients. Specifically, the controlled unitary is constructed from the matrix coefficients of the Hermitian matrix that describes the system’s Hamiltonian. The Hamiltonian is then used to evolve the given state vector over a period of time, and the resulting state vector can be used to estimate the eigenvalues of the Hamiltonian.
 
Insights auto threads is broken atm, so I'm manually creating these for new Insight articles. Towards the end of the first lecture for the Qiskit Global Summer School 2025, Foundations of Quantum Mechanics, Olivia Lanes (Global Lead, Content and Education IBM) stated... Source: https://www.physicsforums.com/insights/quantum-entanglement-is-a-kinematic-fact-not-a-dynamical-effect/ by @RUTA
If we release an electron around a positively charged sphere, the initial state of electron is a linear combination of Hydrogen-like states. According to quantum mechanics, evolution of time would not change this initial state because the potential is time independent. However, classically we expect the electron to collide with the sphere. So, it seems that the quantum and classics predict different behaviours!
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