Analytically Continuing the Randomized Measurement Toolbox

arXiv:2511.02912 · quant-ph, cond-mat.quant-gas · Submitted 2025-11-04 · Read on arXiv

quant-ph, cond-mat.quant-gas

Submitted: 2025-11-04

Updated: 2026-09-23

Terminology

• Entanglement — 28× in this paper · explained in 4 episodes
• Benchmark — 9× in this paper · explained in 2 episodes
• Entanglement Entropy — 9× in this paper · explained in 2 episodes
• Adaptation — 3× in this paper · explained in 1 episode
• Topological Order — 3× in this paper · explained in 2 episodes
• Trace — 3× in this paper · explained in 2 episodes
• Hilbert Space — 2× in this paper · explained in 2 episodes
• Robustness — 2× in this paper · explained in 5 episodes
• Bayesian Inference — 1× in this paper · explained in 5 episodes
• Benchmarking — 1× in this paper · explained in 3 episodes
• Chebyshev Polynomials — 1× in this paper · explained in 2 episodes
• Fidelity — 1× in this paper · explained in 2 episodes
• Fisher Information — 1× in this paper · explained in 3 episodes
• Generalization — 1× in this paper · explained in 13 episodes
• Sample Complexity — 1× in this paper · explained in 15 episodes
• Unitary Dynamics — 1× in this paper · explained in 2 episodes

Sources

• Singularity and universality from von Neumann to R'enyi entanglement entropy and disorder operator in Motzkin chains
• Direct Analysis of Zero-Noise Extrapolation: Polynomial Methods, Error Bounds, and Simultaneous Physical-Algorithmic Error Mitigation
• Entanglement barrier and its symmetry resolution: theory and experiment
• On quantum Renyi entropies: a new generalization and some properties
• Strong converse for the classical capacity of entanglement-breaking and Hadamard channels via a sandwiched Renyi relative entropy
• RandomMeas.jl: A Julia Package for Randomized Measurements in Quantum Devices

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