A necessary and sufficient condition for the quantum imaginary-time Mpemba effect is that it depends only on the population ratios of excited states to the ground state.
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quant-ph 3years
2026 3verdicts
UNVERDICTED 3representative citing papers
Riemannian modified Newton optimization on quantum search achieves quadratic convergence and O(√(N/M) log log(1/ε)) complexity when M/N is known.
A non-unitary extension of Grover's algorithm achieves O(sqrt(N)) query complexity matching the optimal bound by using a single large rotation via block encoding and Chebyshev approximation, at the cost of one additional qubit.
citing papers explorer
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Theory of Quantum Imaginary-Time Mpemba Effect
A necessary and sufficient condition for the quantum imaginary-time Mpemba effect is that it depends only on the population ratios of excited states to the ground state.
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Achieving double-logarithmic precision dependence in optimization-based quantum unstructured search
Riemannian modified Newton optimization on quantum search achieves quadratic convergence and O(√(N/M) log log(1/ε)) complexity when M/N is known.
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Non-unitary extension of Grover's search algorithm
A non-unitary extension of Grover's algorithm achieves O(sqrt(N)) query complexity matching the optimal bound by using a single large rotation via block encoding and Chebyshev approximation, at the cost of one additional qubit.