Tootfinder

Projective error models: Stabilizer codes, Clifford codes, and weak stabilizer codes
Jonas Eidesen
https://arxiv.org/abs/2506.01843 https://

Projective error models: Stabilizer codes, Clifford codes, and weak stabilizer codes
We introduce more general notions of Clifford codes and stabilizer codes, the latter we call weak stabilizer codes. This is all formulated in the language of projective representation theory of finite groups and we give a novel description of the detectable errors for a Clifford code. We also give examples of infinite families of non-stabilizer Clifford codes as well as examples of non-Clifford weak stabilizer codes. The latter of these types of examples is a class of codes that have not been s…

Sweet, Arizona has TWO on this list of the USA's top twenty most boring cities 😂🤣
Edit - found the link these rankings came from, with the explanations of how they came up with them: https://financebuzz.com/most-boring-cities-in-america-ranked

Bored in the USA: The Most Boring Cities in America, Ranked
FinanceBuzz evaluated 75 of the biggest cities in the U.S. to find the most boring cities in the country. Is yours on the list?

Tax Cuts Now, Benefit Cuts Later: The Timeline in the Republican Megabill (New York Times)
https://www.nytimes.com/2025/07/02/us/politics/tax-cuts-benefit-cuts.html
http://www.memeorandum.com/250702/p117#a250702p117

IBM has announced the dismissal of approximately 8,000 employees, with its HR department bearing the brunt of the cuts.
LinkedIn also cutting jobs.
https://www.computing.co.uk/news/2025/ibm-cuts-8-000-jobs

IBM cuts 8,000 jobs amid AI expansion
IBM has announced the dismissal of approximately 8,000 employees, with its HR department bearing the brunt of the cuts.

Dozens of peaceful protestors, including disabled people in wheelchairs,
were arrested last Wednesday, June 25, in Washington, DC,
while protesting Trump’s so-called “One Big Beautiful Bill,”
which will slash taxes,
dramatically increase funding for war and immigration enforcement,
and make devastating cuts to vital, popular programs like Medicaid and the Supplemental Nutrition Assistance Program (SNAP).

‘These cuts are death sentences’: Trump’s ‘Big, Beautiful Bill’ passes Senate
“These cuts are death sentences... If this bill is passed and its rules are codified, this will cause mass loss of insurance for many people in need for years to come."

"Fast-growing, global-south cities are ‘strikingly underrepresented’ in climate research"
#Climate #ClimateChange

Fast-growing, global-south cities are ‘strikingly underrepresented’ in climate research - Carbon Brief
Climate change research in urban areas is skewed towards large, well-established global north cities, says analysis of over 50,000 studies.

Construction of DNA codes using $\theta$-skew cyclic codes over $\mathbb{F}_4 v \mathbb{F}_4$
Jo\"el Kabore, Mohammed Elhassani Charkani
https://arxiv.org/abs/2506.01236

Construction of DNA codes using $θ$-skew cyclic codes over $\mathbb{F}_4 + v \mathbb{F}_4$
In this paper, we investigate $θ$-skew cyclic codes over the ring $R= \mathbb{F}_4 + v \mathbb{F}_4$, where $v^2=v$ and $θ$ is a non-trivial automorphism over $\mathbb{F}_4 + v \mathbb{F}_4$. This allows us to describe DNA code over this ring by characterizing $θ$-skew cyclic reversible DNA codes and $θ$-skew cyclic reversible complement DNA codes. We also explore the Gray images of $θ$-skew cyclic codes.

Two related news stories that hint of the destruction of US assets and infrastructure that are critical to the safety of all of us:
"Severe weather hits the US hard as key forecast offices reel from Trump cuts"
"Trump delays plan to cut satellite data access crucial to hurricane forecasting"

This is that list that got taken down. According to *Murphy v. NCAA*, the federal government cannot tell the states what laws they can write, and according to *United States v. California*, No. 18-16496 (9th Cir. 2019), the feds can't go after the states because of sanctuary cities and related immigration laws.
Sanctuary Cities List.pdf
https://archspmmainsite.s3.amazonaws.com/Offices/Ministerio Latino/Sanctuary Cities List.pdf

Almost 200 countries guarantee children’s rights.
Why doesn’t the US?
The US never signed on to the UN Convention on the Rights of the Child, which experts say paves the way for cuts to federal funding for children’s health coverage
https://www.