Irish Scientists Discover New Superconductor With Possible Implications For Quantum Computing https://thequantuminsider.com/?p=2356164 #Research #Joe_Carroll #superconductor #topological #UCC #University_College_Cork #UTe2 #quantumdaily Insider Brief University College Cork say new superconductor, Uranium Ditelluride, may provide a solution to one of quantum computing’s greatest challenges. The discovery required on of the world’s most powerful quantum microscopes. Critical Quote: “However, sin

#Palindrome Problems: of the Opposite kind

Fishing For Info

"Palindromes 🧬 are "spelled" backwards on the two fold rotational twist and turn opposite side (5' to 3'➡️ , vs 3' to 5' ⬅️ ) and apparently strange (new???) concept commonly occurring in #DNA pattern recognition , but poorly described elsewhere in terms of #topological symmetry or #python ? math.... so if anyone can help elucidate the seeming paradoxical disparity with a reference or insight, it would be much appreciated

#Palindrome DNA : https://www.nature.com/articles/s41439-020-00127-5

??? #Palindrome Alpha Numeric https://datagy.io/python-palindrome/

'Outlier-Robust Subsampling Techniques for Persistent Homology', by Bernadette J. Stolz.

http://jmlr.org/papers/v24/21-1526.html

#homology #outliers #topological

We got started with a workshop on #noncommutative #geometry and #topological #recursion yesterday. 📐Check out the schedule and the recordings on our website 🚩 www.esi.ac.at and on our YT Channel: https://www.youtube.com/channel/UCUHyfvOFOuaUumnWaVrtfaQ/videos

This tweet is a joint work with Carlos I. Pérez Sánchez, a workshop participant and Junior Research Fellow at ESI, we thank him for his cooperation.

@univienna

'Intrinsic Persistent Homology via Density-based Metric Learning', by Ximena Fernández, Eugenio Borghini, Gabriel Mindlin, Pablo Groisman.

http://jmlr.org/papers/v24/21-1044.html

#manifold #homology #topological

'Topological Convolutional Layers for Deep Learning', by Ephy R. Love, Benjamin Filippenko, Vasileios Maroulas, Gunnar Carlsson.

http://jmlr.org/papers/v24/21-0073.html

#cnn #cnns #topological

@ailbhe
What I'm really impressed about when seeing #sewing being done, is the link sewers can do between the shape of the cloth on the table and the shape it'll have when put on.
In #mechanics, this is the link between what we call a reference configuration and a "current" one. But, in general we're not able to handle any large difference between the two.
In addition, sewing the fabric introduces what we call #topological changes, which will of course change the shape obtained.

More on #QuantumFieldTheory anomalies in #topological #insulators😎 Learn about the non-perturbative global anomalies in 3D and discuss their connection to topological states in 4D at https://enabla.com/pub/1105/about; the video lecture is supplemented by carefully-crafted lecture notes🔥

The anomalies we studied so far manifested themselves as non-conserved currents, corresponding to gauge non-invariance of the partition function in the presence of background fields. We showed that the anomalies in 2D signal the existence of topological states in 3D, the connection being the symmetry restoration due to the flow of a conserved quantity from bulk to edge. It is natural to ask if there is a similar connection between a topological state in 4D and an anomaly in 3D, but this does not seem likely, since the anomalies we discussed so far are present only in even D. It turns out, however, that there is a different class of anomalies that do appear in odd dimensions. In this class, we discuss global anomalies, which are associated with a change of the partition function over global gauge transformations. We first discuss how a Chern-Simons action can be non-invariant under a global gauge transformation if it has non-integer level. We then return to the edge theory of a topological insulator and understand whether the system is invariant or not under this transformation. Studying the index theorem in a system with a boundary, we understand that neither the bulk nor the edge is invariant in isolation, so we need both to have a consistent theory.

Our lectures are #free & #OpenAccess; the easiest way for you to support our project is to share this post, follow our account, and ask a few questions on Enabla. Thank you!🙏

Remember the half-quantized #quantum #HallEffect paradox we introduced a week ago? Today we explain this effect and discuss why it is present in #topological #insulators but not in #superconductors🤓

Explore the #QFT videos & lecture notes and ask your questions at https://enabla.com/pub/1103/about

All our lectures are #free and #OpenAccess; the easiest way for you to support our project is to share this post, follow our account, and ask a few questions on Enabla. Thank you!🙏

Why are #anomalies robust against #perturbations, and what has #topology to do with it?🤔

Read about #symmetry-protected #topological states, watch the #OpenAccess introduction to #TopologicalInsulators, and discuss the half-quantized #quantum #HallEffect paradox at https://enabla.com/pub/1083/about 🔥

All our lectures are #free and #openaccess; the easiest way for you to support our project is to share this post, follow our account, and ask a few questions on Enabla. Thank you!🙏

We continue talking about the #QuantumFieldTheory #Anomalies with the #OpenAccess lecture on #Weyl #Semimetals. Learn about #Topological #QFT, Dirac materials, and mixed anomalies, and discuss what is left unclear with the authors and our community at https://enabla.com/set/153/pub/1071/about

New Material May Pave Way for Topological Qubit Designs, Easer Errors For Scalable Quantum Computing https://thequantuminsider.com/?p=2350924 #Research #heterostructure #Joshua_Robinson #Jun_Zhu #materials_research #quantum #topological #topological_insulators #quantumdaily Insider Brief A Penn State-led research team suggests a solution for errors in quantum computing may be found in an exotic version of a qubit known as a topological qubit. They designed a heterostructure of layered two-dimen

Postdoc position at Uppsala University Sweden on computational modeling of electrically induced spin and orbital torques, theory for light-induced spin and orbital currents, current-induced spin dynamics and modelling of electrically induced magnetization dynamics and switching in spin-orbitronic elements. #spin #modeling #orbital #spindynamics #topological #dft http://bit.ly/3SeMXue

`Compactness` https://www.youtube.com/watch?v=xiWizwjpt8o

#topology #mathematics #lecture #lesson #topological #setTheory #mathematical #proof #logic #analysis #continuity #infinity #topology

Researchers have designed an optical fiber that can robustly propagate light, even if there are variations in the properties of its light-guiding materials or in its overall geometry. The team thinks that this newfound #topological protection could enable advances in optical #communication & photonic #quantumcomputing.

#physicsmagazine #sciencemastodon #physicsnews #sciencenews #physics #academicmastodon #quantum #quantumphysics #math #optics

https://physics.aps.org/articles/v16/16

Here's an interesting new #terahertz science result: #cyclotron emission from #Landau levels in HgTe quantum wells. Typically, emission from Landau levels is hard to observe with parabolic bands, because of the equally spaced ladder of states. Emission always loses to absorption.

But in a 2D #topological system, bands are non-parabolic and the Auger mechanism is suppressed. This portends future developments in Landau lasing, covering 0.5-3 THz. Very exciting!

https://doi.org/10.1038/s41566-022-01129-1

DARPA Collaborating With Atom Computing, Microsoft and PsiQuantum to Develop Utility-Scale Quantum Computers https://thequantuminsider.com/?p=2350302 #Quantum_Computing_Business #Research #atom_computing #DARPA #Joe_Altepeter #microsoft #opticallytrapped_ions #photonic #PsiQuantum #topological #Underexplored_Systems_for_UtilityScale_Quantum_Computing #US #US2QC #utilityscale #quantumdaily Insider Brief DARPA selected Atom Computing, Microsoft and PsiQuantum to join the Underexplored Systems for

#PRXQuantum #Physics #Quantum
A clever method for implementing Floquet codes on #topological platforms can lead to an #ErrorCorrection performance significantly superior to that achieved with the ubiquitous surface code.

https://t.co/wUSsz5V5nm

#PRXQuantum #Physics #Quantum
A systematic method for constructing #topological defect networks for a wide range of lattice Hamiltonians is presented.

https://t.co/IobJNMqeql

EPFL Scientists Overcome Scaling Challenges For First Superconducting Circuit Optomechanical Graphene Lattice. https://thequantuminsider.com/?p=2048566 #Research #Amir_Youssefi #Andrea_Bancora #EPFL #graphene #graphene_lattice #Nik_Papageorgiou #optomechanical_lattice #Tobias_J_Kippenberg #topological #quantumdaily Insider View Theoretical studies predict that significantly richer physics and novel dynamics can be accessed in optomechanical lattices, but reproducing devices experimentally has b