In the HHL algorithm, phase estimation operator coherence depends only on input decomposition coefficients beta_i, while inverse phase estimation coherence depends on beta_i, matrix eigenvalues, and success probability P_s, decreasing as P_s increases for alpha in (1,2].
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Tsallis relative α entropy of coherence decreases with success probability in Grover's search, yielding complementarity relations and coherence-entanglement insights.
Shor's algorithm depletes coherence and generates entanglement across its steps, with per-step coherence depending on register dimension and order.
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Coherence dynamics in quantum algorithm for linear systems of equations
In the HHL algorithm, phase estimation operator coherence depends only on input decomposition coefficients beta_i, while inverse phase estimation coherence depends on beta_i, matrix eigenvalues, and success probability P_s, decreasing as P_s increases for alpha in (1,2].
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Tsallis relative $\alpha$ entropy of coherence dynamics in Grover's search algorithm
Tsallis relative α entropy of coherence decreases with success probability in Grover's search, yielding complementarity relations and coherence-entanglement insights.
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Coherence and entanglement dynamics in Shor's algorithm
Shor's algorithm depletes coherence and generates entanglement across its steps, with per-step coherence depending on register dimension and order.