quantum

Resources links

Take a look at some resources to learn more about quantum mechanics, quantum computing and some other fields that surround the quantum world.

If you want some roadmaps to follow, or some tips to study these topics, below, there’re some links to check:

• My chatgpt conversation (03/03/2023)
• [YouTube] How To Go From No Math to Quantum Machine Learning
• [Linkedin] Dr. Shashank Gupta - useful resources

Quantum mechanics

• [Khan Academy] quantum mechanics course
• [YouTube] Quantum Physics - nptelhrd (playlist)
• [YouTube] Schrodinger Equation
• [YouTube] understanding quantum mechanics (playlist)
• [YouTube] Schrodinger Equation MIT
• [YouTube] Road map quantum physics - Domain of science
• [YouTube] Dirac notation (playlist)
• [YouTube] Spin
• [Quora] Why quantum mechanics use complex numbers
• [Wikimedia] Spin experiment (OGV)
• [Stanford] Statistical Mechanics II
• [Britannica] Rydberg constant
• [Arxiv] Relaxation of experimental parameters in a Quantum-Gravity Induced Entanglement of Masses Protocol using electromagnetic screening (PDF)
• [APS] Fast, Hierarchical, and Adaptive Algorithm for Metropolis Monte Carlo Simulations of Long-Range Interacting Systems (PDF)

Raman Techniques

• [UFMG] Raman Book
• [UFMG] Quantum Description of Raman Scattering (PDF)
• [Slideshare] Quantum Theory of Raman Effect
• [Arxiv] Critical Role of Quantum Dynamical Effects in the Raman Spectroscopy of Liquid Water (PDF)

Particle Physics

• [Youtube] Física de partículas (pt-br) (playlist)

Chemistry

• [Florida State University] Electronic configuration of an atom
• [Florida State University] Orbitals
• [Arxiv] Quantum Chemistry in the Age of Quantum Computing (PDF)
• [GeeksForGeeks] Shapes of Atomic Orbitals
• [YouTube] Pauli Exclusion Principle

• [x] [[YouTube] Quantum Numbers

  What are the 4 Quantum Numbers? Chemistry](https://youtu.be/oOVLkiBnq6o)

• [x] [[YouTube] Aufbau Principle

  Chemistry](https://youtu.be/JRIxuqd7uts)

• [x] [[YouTube] Hund’s Rule

  Chemistry](https://youtu.be/6st_BQvvrVI)

• [YouTube] The Shapes of Atomic Orbitals s-orbital, p-orbital and d-orbital

Math

• [TowardsDataScience] Math quantum computing
• [Wikipedia] Conjugate transpose matrix
• [Wolfram] unitary matrix
• [Wolfram] kronecker product
• [YouTube] matriz conjugada (es)
• [YouTube] complex, hermitian and unitary matrices
• [YouTube] addition and subtraction of vectors
• [Math Insight] vector math
• [Khan Academy] vectors
• [Cern] linear algebra for quantum computing (PDF)
• [Wikipedia] Euler Formula
• [Wikipedia] mod
• [Wikipedia] Riemann sphere

Linear Algebra

• [MathIsFun] eigenvalue
• [Khan Academy] linear algebra
• [khan Academy] eigenvalues and eigenvectors
• [Wikipedia] Linear Span
• [mbernste] Linear independence
• [StackExchange] The definition of a vector space: closure under scalar multiplication
• [Johns Hopkins] subspace (PDF)
• [Emory] Vector spaces (PDF)
• [YouTube] Essence of linear algebra (playlist)
• [Medium] What’s Hilbert Space
• [nLab] Hilbert space
• [UCDavis] Hilbert Spaces (PDF)
• [Quantiki] Hilbert Spaces
• [Caltech] The notion of space in mathematics (PDF)
• [Wikipedia] Space
• [Wikipedia] Euclidian Space
• [Wikipedia] State Space
• [Wikipedia] Complete Metric Space
• [StackExchange] Difference between inner product and dot product
• [Quora] What’s the difference between inner product, dot product and scalar product
• [Numpy] dot product
• [Numpy] inner product
• [TutorialsPoint] dot product numpy
• [Wolfram] dot product
• [Wolfram] Inner Product

Planes

• [Wikipedia] Euclidian plane

Shapes

• [Wikipedia] Isomorphism
• [Wikipedia] Isomorfismo (pt-br)

Sets

• [Wikipedia] Open set
• [Brilliant] Open sets
• [Britannica] Open set
• [YouTube] Introduction to Open and Closed Sets
• [Wolfram] Open set
• [Wolfram] Close set
• [Wolfram] Open Interval

Complex Numbers

• [Khan Academy] Complex numbers
• [Khan Academy] complex numbers multiplication
• [Wikipedia] complex plane
• [Math is fun] complex plane

Quantum Computing

• Quantum Kittens
• [Notion] Exploring Quantum Theory with Qubits
• [Medium] The Bernstein-Vazirani Algorithm: Quantum Algorithms Untangled
• [Medium] Programming Quantum Computers with Q#
• [Medium] Quantum games
• [Medium] Qiskit Backends: what they are and how to work with them
• [Medium] Quantum Game Theory
• [Medium] A Beginner’s Guide to Quantum Computing Literature & Notation
• [Github] Links de referência pro Episódio 66 do Canal Akitando (pt-br)
• [Github] Open Source Quantum Computing
• [Github] Classical logic gates in Qiskit
• [Microsoft] Quantum computing for computer scientists (PDF)
• [Microsoft] Pauli Measurements
• [Microsoft] quantum Oracles
• [Google] Researchers can use qsim to explore quantum algorithms
• [Forbes] What Is Quantum Computing? A Super-Easy Explanation For Anyone
• [Wired] Quantum computing and quantum supremacy, explained
• [FreeCodeCamp] What is a quantum computer? Explained with a simple example
• [MIT Technology Review] Explainer: What is a quantum computer?
• [Quantiki] Quantum Gates
• [TowardsDataScience] Demystifying Quantum Gates — One Qubit At A Time
• [TowardsDataScience] quantum amplitudes and probabilities
• [TowardsDataScience] Introduction to Quantum Programming
• [TowardsDataScience] diffusers
• [Wikipedia] logic gates
• [Wikipedia] phase (GIF)
• [Wikipedia] Toffoli gate
• [Wikipedia] Bloch Sphere (SVG)
• [IBM] creating superpositions
• [IBM] Quantum teleportation
• [Arxiv] Quantum Computing: Lecture Notes (PDF)
• [Arxiv] Neutral Atoms (PDF)
• [Arxiv] Schöning’s K-SAT Algorithm (PDF)
• [Arxiv] Quantum Algorithm Implementations for Beginners (PDF)
• [Arxiv] Quantum Netlist Compile (PDF)

• [ ] [[Arxiv] t

  ket〉: A Retargetable Compiler for NISQ Devices (PDF)](https://arxiv.org/pdf/2003.10611.pdf)

• [Arxiv] staq– A full-stack quantum processing toolkit (PDF)
• [Arxiv] Search by Lackadaisical Quantum Walk with Symmetry Breaking(PDF)
• [Arxiv] A randomized quantum algorithm for statistical phase estimation (PDF)
• [Arxiv] A Quantum Random Walk Search Algorithm (PDF)
• [Qiskit] Hello qiskit
• [Qiskit] building gates qiskit
• [Qiskit] qiskit visualization methods
• [Amazon AWS] bernoulli line and block sphere AWS
• [Yale] Schöning’s Algorithm (PDF)
• [msoeken] Quantum Oracle Circuits and the Christmas Tree Pattern
• [benjaminwhiteside] Quantum Oracles
• [leimao] Bloch sphere
• [Nature] How to start in quantum computing
• [Nature] Quantum supremacy using a programmable superconducting processor
• [YouTube] CHSH game
• [YouTube] Gamification of Bell’s Theorem
• [YouTube] Minority game
• [YouTube] Quantum computer programming (playlist)
• [YouTube] Will Quantum Computers break encryption? - Frame of Essence
• [YouTube] Quantum Computing road map - Domain of science
• [YouTube] Open Source Quantum Computing: Write Your Own Quantum Programs - Coding Tech
• [StackExchange] Universal sets of quantum gates
• [StackExchange] Computational basis
• [StackExchange] understanding bloch sphere
• [BlogXA0]List of QUBO formulations
• [Berkley] CS294-2: Quantum Computation
• [Carnegie Mellon University] 15-859BB: Quantum Computation and Information 2015

Quantum Information

• [Arxiv] Quantum Computation and Quantum Information (PDF)

Linear Algebra

• [TheSingularityResearch] Linear Algebra For Quantum Computing

Surface Code

• [QuTube] Surface codes
• [Error Correction Zoo] Kitaev surface code
• [Arxiv] Surface codes: Towards practical large-scale quantum computation (PDF)
• [Nature] Suppressing quantum errors by scaling a surface code logical qubit
• [StackExchange] What is the “surface code” in the context of quantum error correction?

Quantum Error correction

• [Oxford] A Tutorial on Quantum Error Correction (PDF)

Measurements

• [StackExchange] Spin state after measurement on x-direction

QAOA

• [Qiskit] Solving combinatorial optimization problems using QAOA
• [Arxiv] Quantum Approximate Optimization Algorithm: Performance, Mechanism, and Implementation on Near-Term Devices (PDF)
• [Arxiv] A Structured Method for Compiling and Optimizing QAOA Circuits in Quantum Computing (PDF)
• [PennyLane] Intro to QAOA
• [OSTI] Quantum Approximate Optimization Algorithm (QAOA) on Constrained Optimization Problems

Quantum Random Circuits

• [Arxiv] Quantum Random Circuits (PDF)

Hybrid

• [Arxiv] The theory of variational hybrid quantum-classical algorithms

Quantum machine learning

• [Nature] QDataSet, quantum datasets for machine learning
• [Arxiv] Quantum machine learning (PDF)
• [Arxiv] Machine learning & artificial intelligence in the quantum domain (PDF)
• [Arxiv] Supervised Learning With Quantum-Inspired Tensor Networks (PDF)
• [Arxiv] Quantum support vector machine for big data classification (PDF)
• [Arxiv] Generalized Coherent States, Reproducing Kernels, and Quantum Support Vector Machines (PDF)
• [Arxiv] Quantum machine learning in feature Hilbert spaces (PDF)
• [Arxiv] Supervised learning with quantum enhanced feature spaces (PDF)

Quantum Hardware

• [Nature] Underdog technologies gain ground in quantum-computing race
• [Github] ibmqx4 characteristics
• [Nvidia] NVIDIA Announces New System for Accelerated Quantum-Classical Computing
• [Microsoft] Microsoft achieves first milestone towards a quantum supercomputer
• [PhysicalReviewB] InAs-Al hybrid devices passing the topological gap protocol (PDF)
• [Arxviv] Quantum random access memory (PDF)

Coherence

• [Arxiv] ADAPT: Mitigating Idling Errors in Qubits via Adaptive Dynamical Decoupling (PDF)

Qubit

• [Wikipedia] Qubit

Photonic quantum computers

• [IEEE] Photonic Quantum Computer Claims Speedup “Advantage”
• [PennyLane] Tutorial Photonics
• [TheQuantumInsider] 6 Companies Working With Photonic Quantum Computing Technology in 2022
• [Wikipedia] Linear optical quantum computing
• [Nature] Quantum computational advantage with a programmable photonic processor (PDF)
• [Stanford] Stanford engineers propose a simpler design for quantum computers
• [MIT] Quantum computing with light

Trapped ions quantum computers

• [Wikipedia] Trapped ion quantum computer
• [PennyLane] Tutorial Trapped Ions
• [Arxiv] Quantum computing with trapped ions(PDF)
• [TheQuantumInsider] 6 Best Trapped Ion Quantum Computing Companies [2022]
• [Oxford] Ion trap quantum computing research group
• [Virginia] Quantum Computing with Ions (PDF)

Cold Atoms quantum computers

• [OpenUniversity] Cold atoms for Quantum Technology
• [TheQuantumInsider] 4 Companies Working With Neutral (Cold) Atom Quantum Computing
• [TheNextPlatform] ColdQuanta Uses Cold Atoms To Build A Quantum Computing

Superconducting quantum computers

• [Medium] QC — How to build a Quantum Computer with Superconducting Circuit?
• [Nature] Realization of efficient quantum gates with a superconducting qubit-qutrit circuit

Nuclear magnetic resonance quantum computers

• [Medium] How Do I Build a Quantum Computer in My House?

tools

• Azure quantum
• Tensornetwork google
• pytket
• silq
• quipper
• rigetti
• ExeQu project repo
• OpenQasm
• Qiskit
• Q#
• QNC
• IBM quantum computing
• PyQuil
• Cirq
• ProjectQ
• TriQ
• Staq
• OpenQL
• PyZX
• Mitiq
• Braket
• PennyLane
• Quantikz
• Classiq
• Quantum Inspire
• Quantum elixir
• QuTIP
• Nvidia cuQuantum
• Quirk
• Mathematica
• SageMath
• PyMatching
• Google Stim
• Qiskit metal
• BQSkit
• Grokking the Bloch Sphere
• Bloch Sphere Simulator (Kherb)
• Bloch Sphere Simulator (bits-and-electrons)
• Oqtant
• TikZiT

knowledge base

• [Youtube] Stanford quantum channel
• [Youtube] Qiskit
• [Youtube] DrPhysics
• [Youtube] Looking Glass Universe
• [Youtube] Anastasia Marchenkova
• [Youtube] Quantum sense
• [Youtube] Cambridge Quantum
• Quantum-inspire knowledge base
• PASQAL learn
• quantum computing notes
• aws quantum computing blog
• qiskit textbook
• quantum machine learning
• CNOT
• Quantum algorithms zoo
• [Github] introduction to quantum computing and quantum hardware
• [Github] qiskit tutorials
• [Github] Quantum computing resources
• [Github] Qiskit community
• [Github] Dpbm stars quantum list
• [Github] Awesome quantum machinbe learning
• Leimao
• [Medium] Dpbm Quantum list
• DWave learn
• Quantiki
• QuTube
• Error Correction Zoo
• Thomas Wong
• OSTI - U.S. Department of Energy Office of Scientific and Technical Information
• Qubit Zoo
• quantum hub
• [GitLab] qosf
• science Direct
• Quantum Computing UK
• [Google] Discover the Quantum AI campus
• Quantum Atlas
• IQM Academy
• Xanadu Codebook
• ZXCalculus

people

Here are some researchers, professors, engineers, etc. that works with some quantum fields.

Andrea Morello	Seth Lloyd	Scott Aaronson
UNSW	MIT	UTexas

Zlatko Minev
IBM Quantum

courses

• [Stanford] Quantum computing
• [Qiskit] qiskit courses
• [Github] CS video courses
• [EDX] Quantum Computing For Your Classroom 10-12
• [EDX] Quantum Machine learing
• [EDX] Introduction to quantum computing
• [MIT OCW] Quantum Physics III
• [MIT OCW] Linear Algebra (Spring 2010)
• [scottaaronson] scottaaronson website
• [UCSD] quantum mechanics notes

OCW courses
OpenHPI courses
Qworld Courses

Badges

• [IBM] qiskit advocate
• [Qiskit] qiskit advocate
• [Credly] IBM quantum badges

news

Newsletters and news websites

• the quantum insider

books

Supervised Learning with Quantum Computers	Quantum Machine learning	Alice no país do quantum (pt-br)
Springer	Elsevier	Amazon

Introduction to Quantum Algorithms via Linear Algebra	Learning with Kernels	Introduction to Classical and Quantum Computing
MITpress	MITpress	Thomas Wong Website (PDF)

Quantum Computing Since Democritus	The Feynman Lectures on Physics	Principles of Quantum Mechanics
Amazon	FeynmanLecturesOnPhysics website	Amazon

[TheQuantumInsider] 7 Quantum Computing Books to Read in 2022
[Youtube] Quantum Computing Book Recommendations
[Youtube] Quantum Book Recommendations Part 2!
[Youtube] ESTUDE MECÂNICA QUÂNTICA SOZINHO • FÍSICA QUÂNTICA • Física e Afins (pt-br)

companies and initiatives

• Quantum BC
• OriginQ
• DWave
• qutech
• Onnes Technologies
• QuIC
• qt-EU
• QuEra
• pasqal
• Forschungszentrum Jülich Quantum
• Quantum Motion
• Oxford Ionics
• SandboxAQ
• IONQ
• CQUIC
• Quantum Machines
• Agnostiq
• QmWare
• Q-CTRL
• BlueQubit
• Sydney University quantum science group
• UNSW
• XANADU
• EEROQ
• Quantum Enablement
• IQIM Caltech
• Qworld
• IQM
• Infleqtion
• CERN
• Q12
• QIR Alliance

[Wikipedia] List of companies involved in quantum computing or communication

games

• [Scratch] Pickle Checker Algorithm (complete)
• [Scratch] Stern-Gerlach Simulator (GU)
• [Scratch] One Qubit Circuit (GU)
• [Scratch] Entangled pairs (GU)
• [Scratch] Entangled pairs (GU) remix-2
• [Scratch] Classically controlled gates (GU)
• [Scratch] Quantum teleportation with Joey the Otter
• QuarksInteractive
• Entanglion
• [IBM] Hello quantum
• [Google] The qubit gatem
• [QuantumEnablement] Finding Waldo using Grover Search
• Quantum Game
• Quantum Chess
• [Github] Qpong
• [KiedosArt] List of Quantum Games
• [Caltech] Quantum Games

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