Introduces the random Stinespring superchannel to convert channel queries into isometry queries, yielding a channel analogue of Uhlmann's theorem and proving optimal channel learning query complexity of Θ(d_A d_B r).
Weingarten Calculus, February 2021
7 Pith papers cite this work. Polarity classification is still indexing.
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Random projections enable a tunable tradeoff between coherent quantum resources and sampling overhead for multi-copy estimation of multivariate traces like tr(ρ^K).
Above a critical noise strength, operator scrambling in random circuits is suppressed leading to classical simulability; below it, simulation stays exponentially hard.
CBNE enables estimation of nonlinear quantum properties such as higher-order expectations from a single randomized measurement setting under sufficient system dimension or ancillary qubits.
Entanglement certification with randomized measurements is the most resource-intensive task among all two-qubit invariants because it requires the maximum number of measurement settings.
A geometric result links quantum thermalization in almost all accessible pure states to saturation of controllably nonlocal out-of-time-ordered correlators, avoiding statistical averages entirely.
Proves that SO(3) lattice Yang-Mills theory fails Wilson's confinement criterion at strong coupling.
citing papers explorer
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Random Stinespring superchannel: converting channel queries into dilation isometry queries
Introduces the random Stinespring superchannel to convert channel queries into isometry queries, yielding a channel analogue of Uhlmann's theorem and proving optimal channel learning query complexity of Θ(d_A d_B r).
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Random Projections for Multi-Copy Quantum Algorithms
Random projections enable a tunable tradeoff between coherent quantum resources and sampling overhead for multi-copy estimation of multivariate traces like tr(ρ^K).
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Noise-induced Simulability Transition from Operator Scrambling
Above a critical noise strength, operator scrambling in random circuits is suppressed leading to classical simulability; below it, simulation stays exponentially hard.
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Quantum Nonlinear Properties from a Single Measurement Setting
CBNE enables estimation of nonlinear quantum properties such as higher-order expectations from a single randomized measurement setting under sufficient system dimension or ancillary qubits.
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Entanglement quantification with randomized measurements is maximally difficult
Entanglement certification with randomized measurements is the most resource-intensive task among all two-qubit invariants because it requires the maximum number of measurement settings.
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Provable quantum thermalization without statistical averages
A geometric result links quantum thermalization in almost all accessible pure states to saturation of controllably nonlocal out-of-time-ordered correlators, avoiding statistical averages entirely.
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Deconfinement For $\mathrm{SO}(3)$ Lattice Yang-Mills at Strong Coupling
Proves that SO(3) lattice Yang-Mills theory fails Wilson's confinement criterion at strong coupling.