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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Nonnormality is an intrinsically dissipative property of Lindbladian generators that controls transient growth in open quantum dynamics and increases the cost of quantum simulations.
Randomized sparse-QSVT reduces gate counts by up to 10x for inhomogeneous many-term Hamiltonians at moderate error (around 10^{-3}), but deterministic QSVT becomes cheaper for higher precision.
A tunable parallel amplitude estimation algorithm achieves near-Heisenberg query scaling and logarithmic depth via GHZ states and quantum signal processing, with a near-optimality proof using the parallel quantum adversary method.
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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Nonnormality and Dissipation in Markovian Quantum Dynamics: Implications for Quantum Simulation
Nonnormality is an intrinsically dissipative property of Lindbladian generators that controls transient growth in open quantum dynamics and increases the cost of quantum simulations.
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When is randomization advantageous in quantum simulation?
Randomized sparse-QSVT reduces gate counts by up to 10x for inhomogeneous many-term Hamiltonians at moderate error (around 10^{-3}), but deterministic QSVT becomes cheaper for higher precision.
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Near-Heisenberg-limited parallel amplitude estimation with logarithmic depth circuit
A tunable parallel amplitude estimation algorithm achieves near-Heisenberg query scaling and logarithmic depth via GHZ states and quantum signal processing, with a near-optimality proof using the parallel quantum adversary method.