Measurement-based quantum diffusion models are introduced to recover pure and mixed quantum states via weak measurements, quantum score matching, and Petz recovery maps with error bounds, bridging to classical stochastic reversals.
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Quantum information lifetime scales exponentially with system size under continuous monitoring via mid-circuit measurements, proven analytically for Haar random unitaries and confirmed numerically and experimentally, unlike the linear scaling without monitoring.
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Measurement-Based Quantum Diffusion Models
Measurement-based quantum diffusion models are introduced to recover pure and mixed quantum states via weak measurements, quantum score matching, and Petz recovery maps with error bounds, bridging to classical stochastic reversals.
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Scaling Laws of Quantum Information Lifetime in Monitored Quantum Dynamics
Quantum information lifetime scales exponentially with system size under continuous monitoring via mid-circuit measurements, proven analytically for Haar random unitaries and confirmed numerically and experimentally, unlike the linear scaling without monitoring.