AI and Quantum Computing

What if quantum uncertainty isn’t just a limit—but a geometric structure we can compute? A new paper by Cerjan, Ismert, and Loring (arXiv:2610.32014, submitted October 23, 2026) proves that the sum of variances for d Hermitian observables is bounded below by a term involving both commutator expectations and the square of the smallest singular value of the associated localizer matrix. This isn’t just theory—it’s a new way to quantify uncertainty in quantum systems using pseudospectral methods. For AI and quantum practitioners, this means: uncertainty isn’t just noise. It’s a measurable, constructible feature of the system’s operator geometry. How might this reshape error mitigation in quantum machine learning? Share your take. Source: https://arxiv.org/abs/2610.32014 View and join any or all of our communities — AI, quantum, and real estate: https://alex-companies.com/reports/linkedin-groups If there's an AI, quantum, or real estate community you'd like to see us convene, tell us — this portfolio grows by request.
George Arnold Alexander III, MPA
MIT, Nvidia, Google, AWS & IBM-Trained. Cross-Domain Expert. Castor Venture Club.
Partner, ALEX Companies
Associate Broker, Alexander Tiffany Southwest, LLC dba ALEX.realestate, et al.
Texas License #574878-B · Texas Broker License #565194-BB
Broker · North Carolina License #367733
Independent Broker · Colorado License #II.100112456
Broker · Alabama License #000178406
[email protected] · +1 713.918.9951
Join any of our 46 LinkedIn Groups spanning Quantum, AI and Tennessee to Texas.
Follow one or all of our 106 greater Austin communities, cities and counties on our Blog.
TREC Information About Brokerage Services · TREC Consumer Protection Notice
Source data: Source: arXiv · Published October 23, 2026
Download the PDFDownload the video
Slide 1Slide 2Slide 3Slide 4
Licensed by the Texas Real Estate Commission. Broker: Alexander Tiffany Southwest, LLC · License #565194-BB.
Diane Hart Alexander, Chair & CEO, ALEX Companies · Designated Broker · #574877-B  ·  George Arnold Alexander III, Partner, ALEX Companies · Associate Broker · #574878-B
Texas Real Estate Commission Information About Brokerage Services · TREC Consumer Protection Notice · trec.texas.gov