Author Archives: Gil Kalai

Gil’s Collegial Quantum Supremacy Skepticism FAQ

The first 15 samples of Google’s  53 qubit  flagship quantum supremacy experiment!   After the sensationally successful Scott’s Supreme Quantum Superiority FAQ and Boaz’s inferior classical inferiority FAQ let me add my contribution, explaining my current skeptical view. (I was actually … Continue reading

Posted in Combinatorics, Physics, Quantum | Tagged | 6 Comments

Amazing! Keith Frankston, Jeff Kahn, Bhargav Narayanan, Jinyoung Park: Thresholds versus fractional expectation-thresholds

This post describes a totally unexpected breakthrough about expectation and thresholds. The result  by Frankston, Kahn, Narayanan, and Park has many startling applications and it builds on the recent breakthrough work of Alweiss, Lovett, Wu and Zhang on the sunflower … Continue reading

Posted in Combinatorics, Probability | Tagged , , , | 3 Comments

Starting today: Kazhdan Sunday seminar: “Computation, quantumness, symplectic geometry, and information”

Sunday, 27 October, 2019 – 14:00 to 16:00 Repeats every week every Sunday until Sat Feb 01 2020 Location: Ross 70 See also: Seminar announcement; previous post Symplectic Geometry, Quantization, and Quantum Noise. The Google supremacy claims are discussed (with … Continue reading

Posted in Combinatorics, Computer Science and Optimization, Geometry, Physics, Teaching | Tagged , , , | Leave a comment

The story of Poincaré and his friend the baker

Update: After the embargo update (Oct 25): Now that I have some answers from the people involved let me make a quick update: 1) I still find the paper unconvincing, specifically, the few verifiable experiments (namely experiments that can be … Continue reading

Posted in Combinatorics, Computer Science and Optimization, Probability, Quantum, Statistics | Tagged , , | 24 Comments

Gérard Cornuéjols’s baker’s eighteen 5000 dollars conjectures

Gérard Cornuéjols Gérard Cornuéjols‘s beautiful (and freely available) book from 2000 Optimization: Packing and Covering is about an important area of combinatorics which is lovely described in the preface to the book The integer programming models known as set packing … Continue reading

Posted in Combinatorics, Computer Science and Optimization, Open problems | Tagged , , , , | 3 Comments

Noisy quantum circuits: how do we know that we have robust experimental outcomes at all? (And do we care?)

In a recent post we discussed Google’s claim of achieving “quantum supremacy” and my reasons to think that these claims will not stand. (See also this comment for necessary requirements from a quantum supremacy experiment.) This debate gives a good … Continue reading

Posted in Computer Science and Optimization, Quantum | Tagged , , | 10 Comments

Test Your Intuition 40: What Are We Celebrating on Sept, 28, 2019? (And answer to TYI39.)

Update: We are celebrating 10 years anniversary to Mathoverflow Domotorp got the answer right. congratulations, Domotorp! To all our readers: Shana Tova Umetuka –  שנה טובה ומתוקה – Happy and sweet (Jewish) new year.

Posted in Test your intuition, What is Mathematics | Tagged , | 6 Comments

Quantum computers: amazing progress (Google & IBM), and extraordinary but probably false supremacy claims (Google).

A 2017 cartoon from this post. After the embargo update (Oct 25): Now that I have some answers from the people involved let me make a quick update: 1) I still find the paper  unconvincing, specifically, the verifiable experiments (namely experiments … Continue reading

Posted in Combinatorics, Computer Science and Optimization, Quantum, Updates | Tagged | 65 Comments

Jeff Kahn and Jinyoung Park: Maximal independent sets and a new isoperimetric inequality for the Hamming cube.

Three isoperimetric papers by Michel Talagrand (see the end of the post) Discrete isoperimetric relations are of great interest on their own and today I want to tell you about a new  isoperimetric inequality by Jeff Kahn and Jinyoung Park … Continue reading

Posted in Combinatorics | Tagged , , | 3 Comments

Alef’s corner: Bicycles and the Art of Planar Random Maps

The artist behind Alef’s corner has a few mathematical designs and here are two new ones. (See Alef’s  website offering over 100 T-shirt designs.)   which was used for the official T-shirt for Jean-François Le Gall’s birthday conference. See also … Continue reading

Posted in Art, Combinatorics, Geometry, Probability | Tagged | Leave a comment