Position--momentum uncertainty relation for the average confidence width

arXiv:2606.31443 · quant-ph, math-ph, math.MP · Submitted 2026-06-30 · Read on arXiv

quant-ph, math-ph, math.MP

Submitted: 2026-06-30

Updated: 2026-09-22

Terminology

• Quantization — 1× in this paper · explained in 12 episodes
• Verification — 1× in this paper · explained in 2 episodes

Sources

• Confidence uncertainty: position and momentum can be jointly determined with a guaranteed probability

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