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Shawn Geller

@shawngeller.bsky.social
141 followers 776 following 66 posts

Physicist at NIST Boulder, views are my own.

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Shawn Geller @shawngeller.bsky.social · 10/10/2026
In view of the retractions that they have issues, I think it’s fair to say that they haven’t done their due diligence
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Reposted by Shawn Geller
Maris Ozols @marisozols.bsky.social · 09/10/2026
You may finally rest easy at night since SICs exist in all dimensions! github.com/marozols/SIC... SICs are d² unit vectors in d complex dimensions with pairwise equal inner products. Their existences in all dimensions d was conjectured by Zauner in 1999. en.wikipedia.org/wiki/SIC-POVM
Diagram illustrating Lean proof of SIC existence
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Shawn Geller @shawngeller.bsky.social · 13/09/2026
Isn’t that the G-orbits of RPn?
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Shawn Geller @shawngeller.bsky.social · 04/09/2026
Tomaytometer, tomahtometer
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Shawn Geller @shawngeller.bsky.social · 01/09/2026
My eggs are neutrally buoyant???
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Shawn Geller @shawngeller.bsky.social · 20/08/2026
A related concept is called an ergodic action. en.wikipedia.org/wiki/Ergodic...
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Shawn Geller @shawngeller.bsky.social · 20/08/2026
Probably satisfying only to a Bayesian, though.
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Shawn Geller @shawngeller.bsky.social · 20/08/2026
I don’t have a reference that does this specifically, but it must follow by a Dutch book argument: en.wikipedia.org/wiki/Dutch_b...
en.wikipedia.org
Dutch book arguments - Wikipedia
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Shawn Geller @shawngeller.bsky.social · 19/08/2026
I’m gonna start called modules mector spaces
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Shawn Geller @shawngeller.bsky.social · 17/08/2026
Concatenated code? Yeah not to my knowledge so far. Fifteen-ish extra years is honestly not that bad for a problem this hard!
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Shawn Geller @shawngeller.bsky.social · 17/08/2026
- perform repetitive error correction of the logical qubit, and - transfer the state of the logical qubit into the state of another set of physical qubits with high fidelity, and by the year 2012, to - implement a concatenated quantum error-correcting code.
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Shawn Geller @shawngeller.bsky.social · 17/08/2026
It’s a roadmap from 2004. Some excerpts: The desired 2007 and 2012 high-level goals of the roadmap for QC are therefore, by the year 2007, to - encode a single qubit into the state of a logical qubit formed from several physical qubits,
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Shawn Geller @shawngeller.bsky.social · 17/08/2026
Sorry about the researchgate link, it’s the only one I could find, but relevant: www.researchgate.net/profile/Rich...
researchgate.net
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Shawn Geller @shawngeller.bsky.social · 16/08/2026
The Arc de Triomphe is so big it has an arch in it. This raises the question of the Sierpinski arch: Can it be stably supported (assuming gravity is the only relevant factor)? Can it be sensibly arranged to have only finite height? Can someone 3D print one for me please
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Shawn Geller @shawngeller.bsky.social · 14/08/2026
Very cool! Thanks for the link
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Shawn Geller @shawngeller.bsky.social · 14/08/2026
Is it known what the probability density (I guess wrt Haar measure for the integers) of these arithmetic-progression primes is?
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Shawn Geller @shawngeller.bsky.social · 08/08/2026
Are we gonna get paper clipped here simonwillison.net/2026/Aug/7/o...
simonwillison.net
Now we have a timeline of the OpenAI accidental attack against Hugging Face
OpenAI gave a last-minute presentation at the Black Hat security on Wednesday about “the Hugging Face Incident” (previously on this blog). The video was published yesterday. It’s short and information...
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Reposted by Shawn Geller
Dave Bacon @dabacon.tachyon.institute · 06/08/2026
Unverified but BIG if true eprint.iacr.org/2026/1591
eprint.iacr.org
A Polynomial-Time Quantum Algorithm for the Dihedral Coset Problem
We present a polynomial-time quantum algorithm for the Dihedral Coset Problem (DCP). The algorithm is based on Regev's polynomial-time reduction of the Dihedral Subgroup Problem (DSP) to the modular ...
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Shawn Geller @shawngeller.bsky.social · 29/07/2026
That movie was so long that I had to kill a bunch of suitors when I got home
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Shawn Geller @shawngeller.bsky.social · 24/07/2026
Seems like you could extend this to a countable infinite set? Are there obvious problems I’m not seeing?
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Shawn Geller @shawngeller.bsky.social · 23/07/2026
It’s pretty cool to see how he uses it, including the level of detail in the prompts
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Shawn Geller @shawngeller.bsky.social · 23/07/2026
This is Terry Tao using ChatGPT to understand the counterexample(s) to the Jacobian conjecture: chatgpt.com/share/6a5fdc...
chatgpt.com
Check out this chat
Here's a chat someone thought you'd want to see.
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Shawn Geller @shawngeller.bsky.social · 18/05/2026
should i vibecode this for you?
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Shawn Geller @shawngeller.bsky.social · 16/05/2026
|0>, |1>, |+>, |->, |+i>, |-i>
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Shawn Geller @shawngeller.bsky.social · 16/05/2026
Bring back the old names! Beauty and Truth
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Shawn Geller @shawngeller.bsky.social · 10/05/2026
It seems possible that math will end up the way chess is: computers are better than any human, but people do it anyway because we want to.
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Reposted by Shawn Geller
ꭓle Ormsby 𓆙 @e-infinity.space · 30/04/2026
You may have heard that the Banach-Tarski paradox is a consequence of the group of spatial rotations SO(3) having a subgroup that is free on two generators. But what does that look like? Answer: Roughly like this! kyleormsby.github.io/F2-in-SO3/ 1/n 🧮
F₂ inside SO(3) ≅ ℝP³
Generators A = rotation by arccos(1/3) about x-axis, B = same about z-axis. Each reduced word w becomes a rotation in SO(3); we plot it as the point θn̂ in the ball of radius π, where θ ∈ [0, π] is the rotation angle and n̂ is its unit axis. Edges are true SO(3)-geodesics — some wrap through ∂B and reappear at the antipodal point (the ℝP³ identification).Now transformed into the standard 'tree' Cayley graph of F_2.
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Shawn Geller @shawngeller.bsky.social · 10/04/2026
During the review process we added the following result: Perfectly indistinguishable bosons maximize the Haar average of the generalized bunching probability.
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Shawn Geller @shawngeller.bsky.social · 10/04/2026
Our paper on the bunching behavior of bosons was published in PRA today! journals.aps.org/pra/abstract...
journals.aps.org
Measuring multiparticle indistinguishability with the generalized bunching probability
The indistinguishability of many bosons undergoing passive linear transformations followed by number basis measurements is fully characterized by the visible state of the bosons. However, measuring all the parameters in the visible state is experimentally demanding. In this work, we seek to perform partial characterization of the visible state by measuring properties of it that are available after randomization. First, we study the case where the occupied visible modes are randomly permuted, and second, we study the case where Haar random linear optical unitaries are applied. In each case, we find that the generalized bunching probability---which is the probability that all the input bosons arrive in a given subset of the output modes---obeys monotonicity with respect to some partial order of distinguishability of the input bosons. As an intermediate result, we show that Lieb's permanental-dominance conjecture for immanants is equivalent to the following statement: for states that are invariant under permutations of the occupied visible modes, the generalized bunching probability is maximized when the bosons are perfectly indistinguishable. We also prove that a consequence of the monotonicity of the generalized bunching probability after Haar averaging is that this average is maximized when the bosons are perfectly indistinguishable. Finally, we discuss applications of our results to thermometry of cold-atom systems.
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Shawn Geller @shawngeller.bsky.social · 05/04/2026
Ah yes that’s a simple criterion. I have been looking at lattice basis reduction algorithms so this was top of mind, haha
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Shawn Geller @shawngeller.bsky.social · 05/04/2026
Asking because the picture refers to an ambient space
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Shawn Geller @shawngeller.bsky.social · 05/04/2026
If that Z^3 is really a lattice in R^3, and someone only hands you 3 real vectors that are lattice basis vectors, how sure are you that you really are in Z^3?
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Shawn Geller @shawngeller.bsky.social · 16/03/2026
#MarchMeeting26
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Shawn Geller @shawngeller.bsky.social · 16/03/2026
#APSsummit26
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Shawn Geller @shawngeller.bsky.social · 15/03/2026
Feel free to come say hi!
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Shawn Geller @shawngeller.bsky.social · 15/03/2026
And I’ll be talking about randomized benchmarking with leakage summit.aps.org/smt/2026/eve... Tue. March 17, 8:24 — 8:36 a.m. Mile High Ballroom 1C
summit.aps.org
Measuring Leakage Rates using Randomized Benchmarking | APS Meeting
Leakage errors are those that move the state out of the computational subspace. It has been shown that an adaptation of randomized benchmarking can be used to simultaneously infer bounds on the logica...
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Shawn Geller @shawngeller.bsky.social · 15/03/2026
Marcel Mazur will be talking about estimation of various properties of motional states in trapped ion processors: summit.aps.org/smt/2026/eve... Mon. March 16, 4:42 — 4:54 p.m. Meeting Room 302
summit.aps.org
Improving Estimation of Fock Probabilities And Parity of Trapped Ion Motional States | APS Meeting
The motions of trapped ions can be used for quantum information protocols, and researchers are manipulating these motional states with increasing fidelity and complexity. In this work, we study the es...
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Shawn Geller @shawngeller.bsky.social · 15/03/2026
Come hear @akira.social talk about novel QECCs for hybrid systems summit.aps.org/smt/2026/eve... Mon. March 16, 12:48 — 1:00 p.m. Mile High Ballroom 1E
summit.aps.org
Hybrid stabilizer quantum error correction on abelian configuration spaces | APS Meeting
Experimental platforms routinely access Hilbert spaces far beyond qubit subspaces, including harmonic-oscillator (bosonic) and rotor modes that mediate gates or anharmonic modes providing effective lo...
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Shawn Geller @shawngeller.bsky.social · 15/03/2026
I’ll be at the APS meeting this week, our group has a few presentations that I’m excited about. Come hear Aliza Siddiqui talk about characterization of QEC cycles! summit.aps.org/smt/2026/eve..., Tue. March 17, 12:36 — 12:48 p.m. Mile High Ballroom 1C
summit.aps.org
A Diary of a Faulty Logical Qubit: Logical Gate Set Tomography | APS Meeting
The quantum characterization, verification, and validation (QCVV) toolbox assesses processor performance by analyzing their qubits and logic operations. One can construct a comprehensive model of quan...
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Shawn Geller @shawngeller.bsky.social · 11/02/2026
P be a tennis player whose serve grazed the net.
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Shawn Geller @shawngeller.bsky.social · 11/02/2026
Do you think that people understand classical physics?
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Reposted by Shawn Geller
Theo Sanderson @theo.io · 08/02/2026
I made a map of 3.4 million Bluesky users - see if you can find yourself! bluesky-map.theo.io I've seen some similar projects, but IMO this seems to better capture some of the fine-grained detail
bluesky-map.theo.io
Bluesky Map
Interactive map of 3.4 million Bluesky users, visualised by their follower pattern.
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Reposted by Shawn Geller
julia 🌋 @hypv.bsky.social · 09/02/2026
problem set? i'm sorry but we do 21st century mathematics in this classroom. here's your problem category
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Shawn Geller @shawngeller.bsky.social · 04/02/2026
I don’t know! Just thought your previous reply was a little hyperbolic haha
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Shawn Geller @shawngeller.bsky.social · 04/02/2026
You don’t care about general Pauli channels, at least?
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Shawn Geller @shawngeller.bsky.social · 01/02/2026
it’s okay james webb eventually finished
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Shawn Geller @shawngeller.bsky.social · 30/01/2026
olde reed will always be dead tho
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Shawn Geller @shawngeller.bsky.social · 13/01/2026
I think you basically always need both: the ability to churn through arithmetic, and the freedom to explore.
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Shawn Geller @shawngeller.bsky.social · 13/01/2026
to go in in math, they’ll still need proficiency in applying algorithms, because you want to be able to quickly evaluate sub-problems when you’re working on things at a higher level.
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