#ComputationalComplexity
Harm Derksen will be talking about "Invariant Theory and [Computational] Complexity" in tomorrow's online CodEx Seminar: www.math.colostate.edu/~king/codex/

Tue Jan 28, 2025 10am Pacific
Sign up on the website for the zoom link

#MathSky #CSTheory #TheoryCS #TCS #ComputationalComplexity
CodEx Seminar
CodEx Seminar
www.math.colostate.edu
January 27, 2025 at 6:01 PM
Happy Birthday, Richard E. Stearns! Stearns received the 1993 #ACMTuringAward with Juris Hartmanis in recognition of their seminal paper which established the foundations for the field of computational complexity theory. youtu.be/Z-Ek0CCThZQ?...

#ComputerScience #computationalcomplexity
July 5, 2026 at 12:02 PM
On the "Depth-Accessibility" trade-off: There's a trade-off between conceptual depth and practical accessibility in complexity measures. This highlights the value of approximations in real-world #ComputationalComplexity #BigData" n/n ☕️vs🍷
June 13, 2025 at 5:47 PM
Hybrid CS Theory Seminar today (2026-07-13)

Excited to have Jack Stade (U. Copenhagen) presenting "The Boundary-Boundary Art-Gallery Problem is in NP" (which won Best Student Paper at STOC this year)

www.colorado.edu/cs-theory/th...

#MathSky #TCSSky #algorithms #geometry #ComputationalComplexity
July 13, 2026 at 3:51 PM
Hybrid CS Theory Seminar today 2025-03-14

We're excited to have Spencer Peters from Cornell presenting "Recursive Lattice Reduction"

spencerpeters.io
www.colorado.edu/cs-theory/th...

#MathSky #Algorithms #ComputationalComplexity
Home - Spencer Peters
spencerpeters.io
March 14, 2025 at 4:02 PM
A quantum oracle exists where NP is hard on average but quantum cryptographic primitives (EFI pairs, OWPuzzs) provably don't exist—establishing that quantum cryptography isn't fundamental to computational hardness.

#QuantumCryptography #ComputationalComplexity #Research
Quantum Pessiland: Hardness Without Quantum Cryptography
arxiv.org
September 1, 2026 at 1:47 AM
Apparently I missed that Zhuk posted a *simplified* proof of the CSP Dichotomy Conjecture back in January: arxiv.org/abs/2404.01080

I'd really love to understand all of this!

#MathSky #ComputationalComplexity #complexity
A simplified proof of the CSP Dichotomy Conjecture and XY-symmetric operations
We develop a new theory of strong subalgebras and linear congruences that are defined globally. Using this theory we provide a new proof of the correctness of Zhuk's algorithm for all tractable CSPs o...
arxiv.org
October 4, 2024 at 7:28 PM
en.wikipedia.org/wiki/Promise...

"
In #ComputationalComplexity theory, a #PromiseProblem is a generalization of a #DecisionProblem where the input is promised to belong to a particular subset of #AllPossibleInputs.
Promise problem - Wikipedia
en.wikipedia.org
August 29, 2026 at 4:24 AM
I was lead down that #RabbitHole by:

en.wikipedia.org/wiki/BQP

"
In #ComputationalComplexity theory, #BoundedError #QuantumPolynomialTime ( #BQP) is the class of #DecisionProblems solvable by a #QuantumComputer in #PolynomialTime, with an #ErrorProbability of at most 1/3 for all instances.
BQP - Wikipedia
en.wikipedia.org
August 29, 2026 at 4:27 AM
🔥 Advancing Matrix Multiplication Complexity: A New Bound via AlphaEvolve

https://pneumetron.com/news/ai_research/advancing-matrix-multiplication-complexity-alphaevolve-c9d82d

#matrixmultiplication #computationalcomplexity #alphaevolve #optimization
August 26, 2026 at 6:38 AM
Quantum algorithm achieves polynomial log(q)-complexity approximation of torus points over finite fields, while proof shows the problem becomes #P-hard with unrestricted support parameters—revealing fundamental tradeoffs in quantum advantage.

#QuantumAlgorithms #ComputationalComplexity #Research
Quantum Algorithms for Torus Point-Count Approximation Over Finite Fields
arxiv.org
August 26, 2026 at 5:38 AM
We establish fundamental computational barriers to efficient decoding of topological quantum codes, proving that minimum-weight decoding cannot be approximated better than Ω(N^1/14) without solving NP-hard problems.

#QuantumErrorCorrection #ComputationalComplexity #Research
Hardness of Approximation for Minimum-Weight Decoding of Topological Quantum Codes
arxiv.org
August 19, 2026 at 7:14 AM
Faster quantum algorithms for subset sum and k-sum problems: researchers achieve improved worst-case complexity through quantum walks and block decomposition, outperforming previous quantum approaches.

#QuantumAlgorithms #ComputationalComplexity #Research
Improved Quantum Algorithms for Subset Sum and k-SUM
arxiv.org
August 10, 2026 at 3:40 AM
The constructive nature of Thomassé's proof opens up possibilities for efficient #algorithms to find the vertex in the #DeanConjecture. This could have implications for tournament-related problems in computer science. #TCS #ComputationalComplexity #Algorithms
March 29, 2025 at 12:08 PM
The proof informs space-time tradeoffs by providing a *lower bound* on space needed. It sets a limit on how much space *can* be compressed, rather than offering a universal method for tradeoff. #ComputationalComplexity 5/5
July 1, 2025 at 4:00 AM
🚀💡 Exciting news! Ryan Williams has made a breakthrough in computational theory, showing how a bit of memory can change our view of time vs. space in computing. What could this mean for #AI's future? 🧠✨ #ComputationalComplexity #MathMagic LINK
July 13, 2025 at 4:18 PM
Assuming classical gravity couples quantum matter via semiclassical Einstein equations, non-linear qubit dynamics could solve NP-complete problems in polynomial time—violating computational fundamentals and suggesting gravity must be quantized.

#QuantumGravity #ComputationalComplexity #Research
Semiclassical Gravity Efficiently Solves NP-Complete Problems
arxiv.org
June 16, 2026 at 12:28 PM
New framework reveals computational complexity creates 'hidden' quantum correlations. Proves highly entangled states appear uncorrelated to efficient observers—separations range from logarithmic to nearly maximal in key examples.

#QuantumInformation #ComputationalComplexity #Research
Complexity-Constrained Quantum Correlations and Computationally Inaccessible Entanglement
iq.fp2.dev
April 20, 2026 at 6:13 AM
Turing's negative lens unveils computation's enigmatic bounds 🚫💻 His method sparks a surreal dive into computational complexity 🔄🎭 #AlanTuring #ComputationalComplexity #Diagonalization 🌐 go.digitalengineer.io/SI
Alan Turing and the Power of Negative Thinking
Mathematical proofs based on a technique called diagonalization can be relentlessly contrarian, but they help reveal the limits of algorithms.
go.digitalengineer.io
October 30, 2023 at 8:33 PM
How does the injectivity of Projected Entangled Pair States (PEPS) impact the complexity of evaluating local observables? Understanding this link is vital for advancing quantum algorithms. Share your thoughts! #QuantumComputing #Entanglement #ComputationalComplexity LINK
September 30, 2025 at 11:41 AM