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arXiv · 2012.11497

Approximate Phase Search and Eigen Estimation using Modified Grover's Algorithm

Sayantan Pramanik·M Girish Chandra·Shampa Sarkar·Manoj Nambiar
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Abstract

An attempt has been made in this paper to modify Grover's Algorithm to find the binary string solutions approximating a target cost value. In that direction, new Controlled Oracle and the Local Diffusion Operator are suggested, apart from incorporating suitable ancilla qubits. A possible strategy to estimate eigenvalues and eigenstates of a given cost Hamiltonian, extending the reasoning of the methodology, is also pointed out. Typical results and relevant discussions are captured to support the propositions.

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Sayantan Pramanik, M Girish Chandra, Shampa Sarkar, Manoj Nambiar. 2020-12-18. Approximate Phase Search and Eigen Estimation using Modified Grover's Algorithm. https://arxiv.org/abs/2012.11497

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