Query-optimal unitary channel tomography in diamond distance with parallel access

arXiv:2609.38145 · quant-ph · Submitted 2026-09-29 · Read on arXiv

quant-ph

Submitted: 2026-09-29

Updated: 2026-09-29

Terminology

• Query Complexity — 17× in this paper · explained in 2 episodes
• Entanglement — 6× in this paper · explained in 3 episodes
• Adaptivity — 5× in this paper · explained in 1 episode
• Fidelity — 5× in this paper · explained in 2 episodes
• Hilbert Space — 4× in this paper · explained in 2 episodes
• Process tomography — 4× in this paper · explained in 2 episodes
• Trace — 3× in this paper · explained in 2 episodes
• Alignment — 2× in this paper · explained in 1 episode
• Chebyshev Polynomials — 2× in this paper · explained in 2 episodes
• Heisenberg Scaling — 2× in this paper · explained in 4 episodes
• Accuracy — 1× in this paper · explained in 1 episode
• Adam — 1× in this paper · explained in 2 episodes
• Benchmarking — 1× in this paper · explained in 3 episodes
• Consistency — 1× in this paper · explained in 3 episodes
• Fisher Information — 1× in this paper · explained in 3 episodes
• Quantization — 1× in this paper · explained in 12 episodes
• Quantum Circuits — 1× in this paper · explained in 2 episodes
• Reconstruction Error — 1× in this paper · explained in 2 episodes
• Research Grants Council — 1× in this paper
• Sparsity — 1× in this paper · explained in 4 episodes
• Unified Framework — 1× in this paper · explained in 5 episodes

Sources

• Optimal estimation of quantum dynamics
• Quantum reverse-engineering and reference frame alignment without non-local correlations
• Optimal quantum learning of a unitary transformation
• The Quantum Schur Transform: I. Efficient Qudit Circuits
• The commutant of fermionic Gaussian unitaries
• Optimal Quantum Clocks
• Logical quantum processor based on reconfigurable atom arrays
• High-dimensional quantum Schur transforms
• Quantum process tomography of unitary and near-unitary maps
• Strict hierarchy between parallel, sequential, and indefinite-causal-order strategies for channel discrimination
• Unitary channel discrimination beyond group structures: Advantages of sequential and indefinite-causal-order strategies
• Lagrangian representation for fermionic linear optics
• Memory effects in quantum channel discrimination
• Theoretical framework for quantum networks
• Efficient use of quantum resources for the transmission of a reference frame
• Optimal estimation of group transformations using entanglement
• When Does Adaptivity Help for Quantum State Learning?
• Asymptotic performance of port-based teleportation
• Learning Gaussian Operations and the Matchgate Hierarchy
• Learning fermionic linear optics with Heisenberg scaling and physical operations

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