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 Alef Corner: ICM2022
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 Let me tell you about three of my recent papers
 Mathematical news to cheer you up
 To cheer you up in difficult times 27: A major recent "Lean" proof verification
 The Argument Against Quantum Computers  A Very Short Introduction
 TYI 30: Expected number of Dice throws
 A sensation in the morning news  Yaroslav Shitov: Counterexamples to Hedetniemi's conjecture.
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Category Archives: Quantum
Amazing: Feng Pan and Pan Zhang Announced a Way to “Spoof” (Classically Simulate) the Google’s Quantum Supremacy Circuit!
Feng Pan and Pan Zhang uploaded a new paper on the arXive “Simulating the Sycamore supremacy circuits.” with an amazing announcement. Abstract: We propose a general tensor network method for simulating quantum circuits. The method is massively more efficient in … Continue reading
Posted in Computer Science and Optimization, Physics, Quantum
Tagged Feng Pan, Pan Zhang, Quantum computation
1 Comment
The Argument Against Quantum Computers – A Very Short Introduction
Left: Gowers’s book Mathematics a very short introduction. Right C. elegans; Boson Sampling can be seen as the C. elegans of quantum computing. (See, this paper.) Update (January 6, 2021): Tomorrow January, 7, 8:30 AM Israel time, I give a … Continue reading
Posted in Combinatorics, Computer Science and Optimization, Physics, Probability, Quantum
Tagged Guy Kindler, quantum supremacy
7 Comments
Photonic Huge Quantum Advantage ???
This is a quick and preliminary post about a very recent announcement in a Science Magazine paper: Quantum computational advantage using photons by a group of researchers leaded by Jianwei Pan and ChaoYang Lu. (Most of the researchers are from … Continue reading
Posted in Combinatorics, Physics, Probability, Quantum
Tagged BosonSampling, quantum supremacy
12 Comments
Quantum Matters
A comparison between the Google estimator U for the fidelity and two improved estimators that we studied MLE (maximum likelihood estimator) and V (a variant of U). (More figures at the end of the post.) Here are some links on … Continue reading
Trees not Cubes! Memories of Boris Tsirelson
This post is devoted to a few memories of Boris Tsirelson who passed away at the end of January. I would like to mention that a few days ago graph theorist Robin Thomas passed away after long battle with ALS. … Continue reading
Amazing: Zhengfeng Ji, Anand Natarajan, Thomas Vidick, John Wright, and Henry Yuen proved that MIP* = RE and thus disproved Connes 1976 Embedding Conjecture, and provided a negative answer to Tsirelson’s problem.
A few days ago an historic 160page paper with a very short title MIP*=RE was uploaded to the arXive by Zhengfeng Ji, Anand Natarajan, Thomas Vidick, John Wright, and Henry Yuen. I am thankful to Dorit Aharonov and Alon Rosen … Continue reading
Posted in Algebra, Analysis, Combinatorics, Computer Science and Optimization, Physics, Quantum
Tagged Anand Natarajan, Henry Yuen, John Wright, Thomas Vidick, Zhengfeng Ji
13 Comments
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
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 Google, Henri Poincaré, quantum supremacy
25 Comments