Anybody familiar with linear algebra over rings? I want to find the null space of a matrix whose entries are elements of a (finite) group algebra (over a finite field).
Help?
               
            
            
                27.05.2025 01:08 β π 0    π 0    π¬ 0    π 0                      
            
         
            
        
            
            
            
            
            
    
    
    
    
            Figured it out: it's the transversal SUM gate.
               
            
            
                27.01.2025 14:32 β π 0    π 0    π¬ 0    π 0                      
            
         
            
        
            
            
            
            
            
    
    
    
    
            Qubit CSS codes can be characterized by (a) stabilizers that are purely X or Z type, or equivalently (b) a transversal CNOT gate.
What's the equivalent of condition (b) for quDit CSS codes?
               
            
            
                27.01.2025 03:24 β π 0    π 0    π¬ 1    π 0                      
            
         
            
        
            
            
            
            
            
    
    
    
    
            Reminder to self, yet again: the surface code has no threshold with BP-OSD. This can be the source of much confusion when testing or debugging code.
               
            
            
                10.01.2025 14:35 β π 0    π 0    π¬ 0    π 0                      
            
         
            
        
            
            
            
            
            
    
    
    
    
            The real lift-off moment will be when major journals start accepting the typst.app format. Until then, sunsetting latex is only a sweet fantasy...
               
            
            
                04.12.2024 03:23 β π 2    π 0    π¬ 0    π 0                      
            
         
            
        
            
            
            
            
            
    
    
            
                             
                        
                GitHub - Infleqtion/qLDPC: Tools for constructing and analyzing quantum low density parity check (qLDPC) codes.
                Tools for constructing and analyzing quantum low density parity check (qLDPC) codes. - Infleqtion/qLDPC
            
        
    
    
            arxiv.org/abs/2409.18175 has a really neat way to identify transversal gates of a QEC code, which I was inspired to add to github.com/Infleqtion/qLDPC
What other useful tools/methods for QEC and FTQC should I add to qLDPC?
               
            
            
                22.11.2024 03:15 β π 1    π 0    π¬ 0    π 0                      
            
         
    
         
        
            
        
                            
                    
                    
                                            Mission-driven programme developing fault-tolerant quantum computing hardware and algorithms to solve life-science chemical and biological problems.  
πNiels Bohr Institute, University of Copenhagen, Denmark.  
https://nqcp.ku.dk/
                                     
                            
                    
                    
                                            Arch mage of quantumancy @ riverlane / Prof @ Sheffield uni /  quantum error correction and algorithms / poster of posts / reader of sci-fi / player of games / father of daughters / cronic typer of typoes & requester of edit buttons
                                     
                            
                    
                    
                                            A team of #QuantumErrorCorrection (QEC) experts, helping quantum computers scale and tackle errors across qubit types π§ͺ 
www.riverlane.com
                                     
                            
                    
                    
                                    
                            
                    
                    
                                            Research scientist on Google's quantum team, working on reducing the cost of quantum error correction.
Useful tools I've made:
- Quirk: https://algassert.com/quirk
- Stim: https://github.com/quantumlib/stim
- Crumble: https://algassert.com/crumble
                                     
                            
                    
                    
                                            Aspiring philosopher; tolerable human; "amusing combination of sardonic detachment & literally all the feelings felt entirely unironically all at once" [he/his]
                                     
                            
                    
                    
                                            Staff Scientist at Los Alamos National Laboratory. Researcher on Quantum Computing and Quantum Machine Learning. Master of dungeons.
                                     
                            
                    
                    
                                            Quantum Curious | Tensor Network Algorithms researcher at SandBoxAQ
                                     
                            
                    
                    
                                            We are physicists, bridging the gap between quantum physics and sustainability. From Catalunya to the world.
                                     
                            
                    
                    
                                            Associate professor at the University of Amsterdam and senior researcher at QuSoft working on quantum computing.
                                     
                            
                    
                    
                                            π©Ί/π§βπ¬ student at Northwestern University, like thinking about T cells and immunology, born in πΊπ¦
                                     
                            
                    
                    
                                    
                            
                    
                    
                                            Caltech theoretical physicist
                                     
                            
                    
                    
                                            Quantum Error Correction | Quantum Software Lab | University of Edinburgh
Homepage: https://roffe.eu
                                     
                            
                    
                    
                                            Quantum Bullshit Detector. 
Tag for a reading.
                                     
                            
                    
                    
                                            Research and education in physics with a focus on quantum computing, communication and sensing with team Qudev (https://qudev.phys.ethz.ch/) at ETH Zurich. Team lead at the ETHZ-PSI Quantum Computing Hub. Director of the Quantum Center at ETHZ.
                                     
                            
                    
                    
                                            EPSRC Open Fellow in quantum condensed matter theory at the University of Edinburgh. Former Research Scientist at IBM Research, Marie Sklodowska-Curie Fellow at FU Berlin, and postdocs at Collège de France, the Ecole Polytechnique and CEA Saclay. He/him.
                                     
                            
                    
                    
                                            Theorist in Waterloo. Quantum information, quantum computing, science, parenting. https://gsbsmith.ca
                                     
                            
                    
                    
                                            Complexity, in all its forms.
Associate Professor of Computer Science at Columbia University. 
http://www.henryyuen.net