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The Oracle in my Modified Grover’s Algorithm

/u/Cautious_Pitch_6712
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An undergraduate thesis proposes a modified Grover’s algorithm to solve the classical three-body problem by identifying stable orbits among perturbed initial conditions. The algorithm searches precomputed phase-space datasets stored as .npz files, each representing a perturbed configuration, aiming to find at least one stable orbit. The oracle must encode three distinct physical stability criteria, but the researcher struggles with combining these conditions into a single quantum query. A key challenge is bridging classical and quantum workflows: the oracle needs to evaluate stability from classical data while operating within a quantum computational framework. The work highlights the practical hurdles of applying Grover’s algorithm to real-world physics problems, particularly in oracle design and hybrid data integration.
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In my undergraduate thesis, I propose a modified version of Grover’s search algorithm applied to the classical three-body problem. Starting from a set of known stable initial conditions reported in the literature, I introduce small random perturbations to each of them. For every perturbed configuration, I numerically compute the corresponding phase-space evolution and store the results in separate .npz files, each representing one possible initial condition. The goal of the quantum algorithm is to search among those perturbed initial conditions for at least one that still produces a stable orbit. In the Grover framework, this corresponds to encoding a stability criterion into the oracle: a valid solution should satisfy three physical requirements for orbital stability. However, my current challenge lies in the actual construction of the oracle. Specifically: 1. The oracle must verify three different physical conditions, but I am unsure how to combine those multiple “questions”; 2. The data structure is classical: the perturbed initial conditions exist as .npz files (phase-space datasets). I do not yet understand how the oracle would efficiently access or evaluate stability using this classical data while still operating in a quantum computational context. Any thoughts? submitted by /u/Cautious_Pitch_6712 [link] [comments]

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