Fast and Sure-ious Quantum Process Tomography

arXiv:2609.39941 · quant-ph · Submitted 2026-09-30 · Read on arXiv

quant-ph

Submitted: 2026-09-30

Updated: 2026-10-02

Terminology

• Fidelity — 85× in this paper · explained in 2 episodes
• Trace — 41× in this paper · explained in 2 episodes
• Regularization — 33× in this paper · explained in 3 episodes
• Accuracy — 31× in this paper · explained in 1 episode
• Process tomography — 15× in this paper · explained in 2 episodes
• Sample Complexity — 8× in this paper · explained in 15 episodes
• Fidelity Projected Least Squares — 7× in this paper
• Calibration — 3× in this paper · explained in 7 episodes
• Trace Distance — 3× in this paper · explained in 3 episodes
• Adaptive Algorithm — 2× in this paper · explained in 1 episode
• Adaptivity — 2× in this paper · explained in 1 episode
• Bayesian Inference — 2× in this paper · explained in 5 episodes
• Benchmark — 2× in this paper · explained in 2 episodes
• Conference on Decision and Control — 2× in this paper
• Core — 2× in this paper · explained in 2 episodes
• Entanglement — 2× in this paper · explained in 4 episodes
• Foundations of Computer Science — 2× in this paper
• Quantum Fourier Transform — 2× in this paper
• Additivity — 1× in this paper · explained in 1 episode
• Alignment — 1× in this paper · explained in 1 episode
• Hilbert Space — 1× in this paper · explained in 2 episodes
• Large Language Models (LLMs) — 1× in this paper · explained in 6 episodes
• Loss Function — 1× in this paper · explained in 2 episodes
• Semidefinite Program (SDP) — 1× in this paper · explained in 2 episodes
• Sparsity — 1× in this paper · explained in 4 episodes
• Verification — 1× in this paper · explained in 2 episodes

Sources

• Projections with Respect to Bures Distance and Fidelity: Closed-Forms and Applications
• Quantum channel tomography: optimal bounds and a Heisenberg-to-classical phase transition
• Optimal learning of quantum channels in diamond distance
• Efficient learning of the structure and parameters of local Pauli noise channels
• A Framework for Non-Asymptotic Quantum Information Theory
• Simpler semidefinite programs for completely bounded norms

Related papers

• Reconquering Bell sampling on qudits: stabilizer learning and testing, quantum pseudorandomness bounds, and more
• Encrypted clones can leak: Classification of informative subsets in Quantum Encrypted Cloning
• Polynomial-time classical and quantum simulation of quantum impurity models
• Theory of quantum-enhanced interferometry with general Markovian light sources
• A convergent hierarchy of spectral gap certificates for qubit Hamiltonians
• Universal Bound and Phase Transition in Many-Body Fermionic Non-Gaussianity