Quantum Formalism

Quantum Formalism is an educational platform focused on deepening the understanding of quantum mechanics and quantum computing through advanced mathematical frameworks. It offers courses, mentorship, and tools like QF GPT to facilitate learning in abstract mathematics, quantum hardware, software verification, and influential mathematicians' contributions, aiming to make emerging technologies accessible.

Quantum Computing Abstract Mathematics Quantum Hardware and Software Educational Courses and Tools Mathematical Foundations of Quantum Mechanics Influential Mathematicians Group Theory and Lie Theory Machine Learning Applications in Quantum Computing

The hottest Substack posts of Quantum Formalism

And their main takeaways

Influential Mathematicians: Jacques Hadamard

19 implied HN points • 17 Jun 20
🔬 Science Mathematics Quantum Mechanics Functional Analysis Books
  1. Jacques Hadamard's early struggles in mathematics did not deter him from becoming an influential mathematician of the 20th century.
  2. Hadamard's work on functions of a complex variable and entire functions laid significant groundwork for future mathematical developments.
  3. Although Hadamard did not directly contribute to quantum formalism, his work on functional analysis played a crucial role in its mathematical foundation.

Content structure survey

19 implied HN points • 04 Jun 20
🔬 Science Mathematics Physics Experiment Structure
  1. The content structure of the Quantum Formalism newsletter involves foundational content on mathematics concepts like set theory, abstract algebra, topology, and analysis.
  2. Specific Quantum Formalism content focuses on topics like the genesis of quantum formalism, functional analysis, measure theory, and the formalism of quantum mechanics.
  3. The newsletter team is open to subscriber feedback through a survey to adjust and tailor the content structure to meet the needs of their diverse audience.

Live Session One Replay on YouTube.

0 implied HN points • 30 Sep 23
🔬 Science Quantum Mechanics Live session Course
  1. A quantum hardware course has started, with the first live session replay available on YouTube.
  2. The initial lecture covers core content, while there's a preview of the upcoming mathematical tools of Quantum Mechanics.
  3. Late admissions to the course are possible, with replay access on YouTube, but live session participation is for admitted students only.

The Hilbert Space Formalism of Quantum Mechanics.

0 implied HN points • 14 Oct 23
🔬 Science Quantum Mechanics Physics
  1. Understanding the mathematical concepts of Hilbert spaces and Operators empowers in comprehending quantum mechanics and hardware.
  2. Delving into mathematics of Hilbert spaces and Operators can be beneficial for various quantum topics like error correction and machine learning.
  3. Even if you're not taking the quantum hardware course, learning about Hilbert spaces and Operators independently can be valuable for exploring quantum subjects.

Lecture #04

0 implied HN points • 09 Oct 20
🚌 Education Mathematics Self-study Community
  1. Introduction to complex vector spaces was covered in this live session.
  2. Key concepts included Additive Groups Axioms, Field Axioms, and Complex Vector Space Axioms.
  3. Various topics like Linear Subspaces, Linear Combinations, and Dirac Notation were also discussed.
Get a weekly roundup of the best Substack posts, by hacker news affinity:

Elliptic Curve Cryptography

0 implied HN points • 29 Nov 23
🕹 Technology Cryptocurrency Cybersecurity Mobile Blockchain Internet of Things
  1. Elliptic Curve Cryptography (ECC) is crucial for secure internet communications like TLS protocols, mobile security, blockchain, and cryptocurrencies.
  2. ECC is efficient and widely utilized in mobile devices for securing transactions and communications due to lower computational power requirements.
  3. ECC plays a significant role in various sectors like government communications, wireless security protocols, and cloud computing due to its high security and efficiency.

Elliptic Curve Cryptography Course + Quantum Tea

0 implied HN points • 13 Dec 23
🕹 Technology Cryptocurrency
  1. The Elliptic Curve Cryptography course has an upcoming first live lecture scheduled for December 27th, with a strict cap on live attendees to enhance interactivity.
  2. The Quantum Tea open discussion forum started with a free-form session but will introduce more structured discussions exploring alternative viewpoints.
  3. You can register for both the ECC course and Quantum Tea sessions using the provided links to secure your spot.

Mathematical Proof Resources

0 implied HN points • 23 Nov 20
🚌 Education Mathematics Proofs
  1. Mathematical proofs are essential for theoretical advancements in quantum information and mechanics.
  2. Resources like the Lean and Coq projects offer tools for proof assistance and management.
  3. Attending live sessions like 'Matrix Groups - Part 1' can offer valuable insights for enthusiasts.

Lecture 9 Invite + Nicolas Bourbaki

0 implied HN points • 10 Nov 20
🔬 Science Mathematics Physics
  1. Invitations have been sent out for the next live session, so make sure to check your email if you attended the previous one.
  2. There is a group called Nicolas Bourbaki, a secretive math society that has notable members like Jean-Pierre Serre and Alain Connes.
  3. Noncommutative Geometry and C*-algebras, topics linked to physics, will be covered in the advanced module next year.

Post-Quantum Cryptography Standards

0 implied HN points • 05 Jul 22
🕹 Technology Cryptography Courses Community Machine Learning
  1. The US National Institute of Standards and Technology announced post-quantum cryptography standardisation proposals, marking a historic day in modern cryptography.
  2. Cryptography courses will now include post-quantum cryptography standards in the curriculum, with a focus on the selected standards.
  3. The Quantum Formalism community encourages participation in lectures, Discord community engagements, and sponsorships for events like LOGML Summer School, emphasizing the importance of advanced Geometry in Machine Learning.

Session 14

0 implied HN points • 08 Jan 21
🔬 Science Quantum physics
  1. Session 14 of quantum formalism discussing Quantum Axioms & Operators
  2. The session provided a link to physics-oriented quantum theory lectures by Aggie Branczyk
  3. A mention of a potential fix made for a Dirac notation typo

Lecture 11 Rescheduled for July 29!

0 implied HN points • 21 Jul 22
🚌 Education Mathematics Physics Online Learning
  1. Lecture 11 has been rescheduled to July 29 due to a disrupted schedule from a heat wave in the UK.
  2. There will be upcoming updates on Measure Theory & Functional Analysis course and community activities.
  3. The sponsor of LOGML Summer School emphasizes the potential benefits of applying modern Geometry to Machine Learning.

2021 Kickstart

0 implied HN points • 10 Jan 21
🔬 Science Quantum physics
  1. The first session of 2021 is available on YouTube with corrected slides on GitHub.
  2. There are physics-oriented quantum theory lectures recommended by Aggie Branczyk on PIRSA.
  3. Registration for the next quantum axioms and operators session is open on Crowdcast.

Late start today (Group theory)!

0 implied HN points • 12 Aug 22
🚌 Education Group Theory
  1. Today's session on Group theory is delayed by one hour due to a last-minute work commitment.
  2. Registration to attend the session can be found at https://www.crowdcast.io/c/group-theory-lecture-12.
  3. If you miss the live session, a recording will be uploaded on the YouTube playlist later tonight or Monday.

Lecture 02 Registration Reminder + External Event

0 implied HN points • 08 Mar 22
🚌 Education Lectures Community Events Study Social media
  1. Registration for Friday's live session is now open. Check the link provided to register.
  2. Community member George Zipperlen is giving a talk on Saturday about 'From Numbers to Tensors'. Interested individuals can register via the provided link.
  3. Consider joining the Discord community for group study sessions and follow Zaiku Group's LinkedIn and Twitter accounts for updates on their initiatives.

Lecture #1 Reschedule

0 implied HN points • 15 Jun 21
🚌 Education Physics Topology
  1. The first lecture on Topology Crash Course has been rescheduled due to a funeral service on June 25
  2. Alternative dates offered are June 24, June 29, and July 2, all at 5pm BST
  3. Participants are reminded to review basic set-theoretic and real analysis concepts mentioned during the last Q&A session

Latest Community updates

0 implied HN points • 12 Apr 21
🚌 Education Mathematics Physics Topology Geometry
  1. The Lie Theory prerequisite mini-series will focus on point-set topology, metric spaces, and basics of differentiable manifolds.
  2. Reviewing basics of set theory, including intersections, unions, Cartesian products, and maps between sets, is recommended for the upcoming lectures.
  3. While the Lie Theory module may not be sufficient to understand Eric Weinstein's 'Geometric Unity' paper, it provides a foundational knowledge base that can ease the understanding of complex topics in differential geometry and topology.

Certificate of Attendance versus Certificate of Completion + Quantum Webinar

0 implied HN points • 04 Nov 21
🚌 Education Topology Certificates Crash course
  1. Two certificates are being issued for the crash course: Certificate of Attendance for those who attended the entire course, and Certificate of Completion for those who comprehend the basics discussed.
  2. The crash course covers topics like topological and smooth manifolds.
  3. A Quantum Webinar by Dr. Ryuji Takagi from Nanyang Technological University in Singapore is scheduled, presenting their recent ArXiv paper 'Fundamental limits of quantum error mitigation'.

Lecture 08 Replay

0 implied HN points • 01 Nov 21
🚌 Education Mathematics Lectures
  1. The lecture covered the concept of a 'smooth manifold' which is crucial for understanding 'Lie Groups' to be discussed in Module II.
  2. Upcoming topics include diffeomorphisms, classification of smooth manifolds with interesting facts about certain dimensions like dimension 4.
  3. The crash course will end after Lecture 9, but extra sessions on advanced topics like fibre bundles are planned after career and hackathon Q&A sessions.

Quantum Formalism 2022 Hackathon

0 implied HN points • 18 Oct 21
🕹 Technology Quantum Computing Mathematics Coding
  1. The Quantum Formalism 2022 Hackathon focuses on showcasing mathematical knowledge in code, open to teams of up to three people with cash prizes and internship opportunities.
  2. Participants must apply through a Google form to be considered for the hackathon.
  3. All the code and assets created during the hackathon will be open-sourced.

Group theory session 18 invitation

0 implied HN points • 11 Nov 22
🚌 Education Mathematics
  1. Live group theory session 18 covers real matrix group topics and delves into complex groups next.
  2. Register for the session at the provided link or catch the replay on YouTube if you can't make it.
  3. The session promises to be informative and engaging for Quantum Formalists.

Newcomers Invitation to Lecture #5

0 implied HN points • 12 Oct 20
🚌 Education STEM Online Learning
  1. New subscribers need a background in graduate-level linear algebra to join future sessions.
  2. Newcomers must fill out a Google form for verification to attend the live session.
  3. People are encouraged to review the previous session on YouTube before attending the next live session.

Quick updates.

0 implied HN points • 26 Aug 22
🚌 Education Mathematics Online Learning
  1. Group theory session today starting an hour later, registration page for attendance available
  2. Measure Theory & Functional Analysis (MTFA) course soon to release first lecture, homework challenge on GitHub
  3. QF LinkedIn page created, Discord community for group study sessions

Lecture #1 Registration

0 implied HN points • 22 Jun 21
🚌 Education Mathematics
  1. The preferred start date for the first lecture is July 2.
  2. Core concepts covered in the first lecture include topological spaces, closed sets, subspace topology, and neighborhoods.
  3. If time permits, there will be a brief introduction to fibre bundles and the algebra of smooth maps.

Friday community updates.

0 implied HN points • 09 Sep 22
🚌 Education Mathematics YouTube Discord Lectures
  1. Friday community updates include group theory live sessions covering various topics like cosets, index of subgroups, normal subgroups, and quotient groups.
  2. The upcoming Module II will focus on Lie Groups, Lie Algebras & Representations, following prerequisites like a crash course on Topology & Differential Geometry.
  3. Measure Theory & Functional Analysis Course offers valuable content on real analysis, Riemann's integration theory, sigma algebras, and solutions to assignments.

An Optimal Entanglement Distribution Policy for a Quantum Switch

0 implied HN points • 13 Sep 22
🕹 Technology Quantum Computing
  1. The webinar discusses an optimal strategy for distributing entanglements in a quantum switch, crucial for quantum network applications.
  2. The proposed Max-Weight scheduling policy aims to generate end-to-end entanglements efficiently at the quantum switch.
  3. The speaker, Thirupathaiah Vasantam, has a background in performance modeling and analysis of communication networks with a focus on quantum networking.

Feynman: Mathematicians vs Physicists

0 implied HN points • 07 Sep 21
🔬 Science Mathematics Physics
  1. Feynman highlighted the cultural differences between mathematicians and physicists, emphasizing that mathematicians have the freedom to do things their way without criticism.
  2. Feynman's invention of the 'Feynman Path Integral' showcased that innovative techniques can produce results even without strict mathematical rigor.
  3. The talk underlines the importance of individual freedom in pursuing different approaches to problem-solving in science.

Lecture 3 Registration

0 implied HN points • 26 Jul 21
🚌 Education Mathematics Webinar Topology Discord Community
  1. Registration for Lecture 3 on topology is open via a provided link.
  2. Reviewing basic concepts from real analysis like open intervals and closed intervals is recommended for better understanding.
  3. Joining the Discord community server is encouraged, and a webinar on the application of Maths and Computing in various fields is scheduled.

Group theory applications webinar: Origami Modular Design.

0 implied HN points • 21 Oct 22
🔬 Science Group Theory
  1. The webinar discussed the application of group theory in Origami Modular Design
  2. The talk highlighted how group-theoretic notions can be utilized in creative design processes
  3. The presentation emphasized the connection between mathematical concepts like group theory and practical applications like origami

How soon would you like to wrap up the group theory course?

0 implied HN points • 01 Nov 22
🚌 Education Group Theory Lectures Survey
  1. The group theory crash course is wrapping up soon, with only three lectures left to go.
  2. There are two options for wrapping up the course: November 25 with weekly lectures or December 9 with the current biweekly schedule.
  3. In the final lectures, there will be coverage of group representation theory to provide a preview before the Lie Groups & Representations course.

Group theory 2022 course wrap up!

0 implied HN points • 13 Dec 22
🚌 Education Mathematics Online Courses Certificates
  1. Certificates of completion were offered to regular attendees of the group theory course who have a baseline knowledge from certain lectures, preparing them for the next course on Lie Groups & Representations.
  2. The upcoming course on Lie Groups & Representations starting in January 2023 does not require completion of the previous crash courses, but having some baseline knowledge in certain areas is recommended for better understanding.
  3. After the Lie Groups & Representations course, there will be a virtual mini school focusing on practical applications such as quantum error correction, classical machine learning, and quantum machine learning.

Lecture 9 Replay + The Next Steps

0 implied HN points • 15 Nov 21
🚌 Education Mathematics Online Learning
  1. The crash course introducing the notion of a 'smooth manifold' has concluded, preparing participants for the next module on Lie Groups, Lie Algebras & Representations.
  2. Certificates of Attendance and Completion are available upon request for auditing the crash course live or via the YouTube playlist, with different types of certificates offered.
  3. There will be a session on the industry career fellowship scheme for those who have expressed interest.

Lecture 5 Replay

0 implied HN points • 12 Sep 21
🚌 Education Quantum physics Topology
  1. The replay of lecture 5 is available on YouTube, split into 3 parts for convenient viewing and discussing path-connectedness, open covers, and compactness.
  2. Registration is open for lecture 6 on topology, focusing on the manifold section.
  3. You are encouraged to join the Discord community server as part of the Quantum Formalists group for further discussions and engagement.

Pre-Course Live Q&A

0 implied HN points • 30 Jul 20
🚌 Education Courses Q&A Feedback
  1. The quantum formalism course will start on Friday, September 18, based on feedback from a survey with approximately 80% choosing that date.
  2. A live Q&A session will be held on Friday, August 14 to present the course program and answer audience questions.
  3. Registration for the Q&A session is open, and interested individuals can sign up via URL provided by the Zaiku Group team.

Lecture 12

0 implied HN points • 11 Dec 20
🚌 Education Quantum physics Mathematics YouTube
  1. The lecture covers complex Hilbert spaces and delves into functional analysis
  2. The module will explore non-algebraic concepts alongside finite-dimensional Hilbert spaces
  3. There is a fireside chat event scheduled for Tuesday

Lecture 12 Reminder

0 implied HN points • 09 Dec 20
🚌 Education Quantum physics
  1. The lecture covers finite dimensional Hilbert spaces, including pre-lecture comments, the CM Formalism, and the Axioms of QM.
  2. Newcomers need prior exposure to concepts like complex vector spaces, linear independence, bases, and dimension to fully understand and engage in the session.
  3. The session will explore topics such as complex vector spaces, Hilbert space, dual space, and bra notation.

Last 2020 Lecture!

0 implied HN points • 17 Dec 20
🚌 Education Physics Mathematics
  1. The last session of 2020 will cover topics like normalised vectors, orthogonal vectors, and orthonormal bases.
  2. The lecture will also discuss topics such as bras, the dual space, and the Riesz Representation Theorem.
  3. Newcomers are welcome to join the lecture, but may find it challenging if they haven't attended previous sessions or lack an advanced background in physics/mathematics.