Optimal quantum channel tomography query complexity has a Heisenberg-to-classical phase transition at dilation rate τ=1: Θ(rd₁d₂/ε) on the boundary and Θ(rd₁d₂/ε²) away from it.
[ZRK25] Leonardo Zambrano, Sergi Ramos-Calderer, and Richard Kueng
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Local Lindbladians can be learned with Õ(Λ²/ε²) channel uses and Õ(Λ/ε²) total time; matching lower bounds prove this optimal even for adaptive, entangling strategies.
Derives closed-form intervals for compatible population changes from calibrated qubit readouts and identifies cases where stable data permit multiple population interpretations.
Nonclassical area δ from the tomogram and g^(2)(0) serve as direct experimental signatures of quantum synchronization in the driven van der Pol oscillator.
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Quantum channel tomography: optimal bounds and a Heisenberg-to-classical phase transition
Optimal quantum channel tomography query complexity has a Heisenberg-to-classical phase transition at dilation rate τ=1: Θ(rd₁d₂/ε) on the boundary and Θ(rd₁d₂/ε²) away from it.
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Near-Optimal Learning of Local Lindbladians
Local Lindbladians can be learned with Õ(Λ²/ε²) channel uses and Õ(Λ/ε²) total time; matching lower bounds prove this optimal even for adaptive, entangling strategies.
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Stable Qubit Readout and the Identifiability of Population Change
Derives closed-form intervals for compatible population changes from calibrated qubit readouts and identifies cases where stable data permit multiple population interpretations.
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Characterizing quantum synchronization in the van der Pol oscillator via tomogram and photon correlation
Nonclassical area δ from the tomogram and g^(2)(0) serve as direct experimental signatures of quantum synchronization in the driven van der Pol oscillator.