Optimal Quantum Junta Testing without Inverse Queries

arXiv:2609.37926 · quant-ph · Submitted 2026-09-29 · Read on arXiv

quant-ph

Submitted: 2026-09-29

Updated: 2026-09-29

Comments: 57 pages, 1 table, 3 algorithms

License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/

Terminology

• Trace — 25× in this paper · explained in 2 episodes
• Query Complexity — 12× in this paper · explained in 2 episodes
• Sample Complexity — 6× in this paper · explained in 15 episodes
• Combinatorial Optimization — 2× in this paper · explained in 2 episodes
• Adam — 1× in this paper · explained in 2 episodes
• Adaptivity — 1× in this paper · explained in 1 episode
• Chebyshev Polynomials — 1× in this paper · explained in 2 episodes
• Core — 1× in this paper · explained in 2 episodes
• Entanglement — 1× in this paper · explained in 3 episodes
• Hilbert Space — 1× in this paper · explained in 2 episodes
• Homogeneity — 1× in this paper · explained in 2 episodes
• Process tomography — 1× in this paper · explained in 2 episodes
• Quantum Circuits — 1× in this paper · explained in 2 episodes
• Sparsity — 1× in this paper · explained in 4 episodes

Sources

• Tolerant Quantum Junta Testing
• Quantum Algorithm for Reversing Unknown Unitary Evolutions
• Quantum Lazy Sampling and Path Recording for Any Group
• Quantum Channel Testing in Average-Case Distance
• Universal Refocusing of Systematic Quantum Noise
• Amplitude amplification and estimation require inverses
• Conjugate queries can help
• Property Testing of Quantum Measurements
• Experimental Efficient Influence Sampling of Quantum Processes
• Near-Optimal Algorithm for Distribution-Free Junta Testing

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