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Awesome Quantum Machine Learning

A curated list of awesome quantum machine learning algorithms,study materials,libraries and software (by language).

Table of Contents

• INTRODUCTION
  • Why Quantum Machine Learning?
• BASICS
  • What is Quantum Mechanics?
  • What is Quantum Computing?
  • What is Topological Quantum Computing?
  • Quantum Computing vs Classical Computing
• QUANTUM COMPUTING
  • Atom Structure
  • Photon wave
  • Electron Fluctuation or spin
  • States
  • SuperPosition
  • SuperPosition specific for machine learning(Quantum Walks)
  • Classical Bit
  • Quantum Bit or Qubit or Qbit
  • Basic Gates in Quantum Computing
  • Quantum Diode
  • Quantum Transistor
  • Quantum Processor
  • Quantum Registery QRAM
  • Quantum Entanglement
• QUANTUM COMPUTING MACHINE LEARNING BRIDGE
  • Complex Numbers
  • Tensors
  • Tensors Network
  • Oracle
  • Hadamard transform
  • Hilbert Space
  • eigenvalues and eigenvectors
  • Schr¨odinger Operators
  • Quantum lambda calculus
  • Quantum Amplitute Phase
  • Qubits Encode and Decode
  • convert classical bit to qubit
  • Quantum Dirac and Kets
  • Quantum Complexity
  • Arbitrary State Generation
• QUANTUM ALGORITHMS
  • Quantum Fourier Transform
  • Variational-Quantum-Eigensolver
  • Grovers Algorithm
  • Shor's algorithm
  • Hamiltonian Oracle Model
  • Bernstein-Vazirani Algorithm
  • Simon’s Algorithm
  • Deutsch-Jozsa Algorithm
  • Gradient Descent
  • Phase Estimation
  • Haar Tansform
  • Quantum Ridgelet Transform
  • Quantum NP Problem
• QUANTUM MACHINE LEARNING ALGORITHMS
  • Quantum K-Nearest Neighbour
  • Quantum K-Means
  • Quantum Fuzzy C-Means
  • Quantum Support Vector Machine
  • Quantum Genetic Algorithm
  • Quantum Hidden Morkov Models
  • Quantum state classification with Bayesian methods
  • Quantum Ant Colony Optimization
  • Quantum Cellular Automata
  • Quantum Classification using Principle Component Analysis
  • Quantum Inspired Evolutionary Algorithm
  • Quantum Approximate Optimization Algorithm
  • Quantum Elephant Herding Optimization
  • Quantum-behaved Particle Swarm Optimization
  • Quantum Annealing Expectation-Maximization
• QAUNTUM NEURAL NETWORK
  • Quantum perceptrons
  • Qurons
  • Quantum Auto Encoder
  • Quantum Annealing
  • Photonic Implementation of Quantum Neural Network
  • Quantum Feed Forward Neural Network
  • Quantum Boltzman Neural Network
  • Quantum Neural Net Weight Storage
  • Quantum Upside Down Neural Net
  • Quantum Hamiltonian Neural Net
  • QANN
  • QPN
  • SAL
  • Quantum Hamiltonian Learning
  • Compressed Quantum Hamiltonian Learning
• QAUNTUM STATISTICAL DATA ANALYSIS
  • Quantum Probability Theory
  • Kolmogorovian Theory
  • Quantum Measurement Problem
  • Intuitionistic Logic
  • Heyting Algebra
  • Quantum Filtering
  • Paradoxes
  • Quantum Stochastic Process
  • Double Negation
  • Quantum Stochastic Calculus
  • Hamiltonian Calculus
  • Quantum Ito's Formula
  • Quantum Stochastic Differential Equations(QSDE)
  • Quantum Stochastic Integration
  • Itō Integral
  • Quasiprobability Distributions
  • Quantum Wiener Processes
  • Quantum Statistical Ensemble
  • Quantum Density Operator or Density Matrix
  • Gibbs Canonical Ensemble
  • Quantum Mean
  • Quantum Variance
  • Envariance
  • Polynomial Optimization
  • Quadratic Unconstrained Binary Optimization
  • Quantum Gradient Descent
  • Quantum Based Newton's Method for Constrained Optimization
  • Quantum Based Newton's Method for UnConstrained Optimization
  • Quantum Ensemble
  • Quantum Topology
  • Quantum Topological Data Analysis
  • Quantum Bayesian Hypothesis
  • Quantum Statistical Decision Theory
  • Quantum Minimax Theorem
  • Quantum Hunt-Stein Theorem
  • Quantum Locally Asymptotic Normality
  • Quantum Ising Model
  • Quantum Metropolis Sampling
  • Quantum Monte Carlo Approximation
  • Quantum Bootstrapping
  • Quantum Bootstrap Aggregation
  • Quantum Decision Tree Classifier
  • Quantum Outlier Detection
  • Cholesky-Decomposition for Quantum Chemistry
  • Quantum Statistical Inference
  • Asymptotic Quantum Statistical Inference
  • Quantum Gaussian Mixture Modal
  • Quantum t-design
  • Quantum Central Limit Theorem
  • Quantum Hypothesis Testing
  • Quantum Chi-squared and Goodness of Fit Testing
  • Quantum Estimation Theory
  • Quantum Way of Linear Regression
  • Asymptotic Properties of Quantum
  • Outlier Detection in Quantum Concepts
• QAUNTUM ARTIFICIAL INTELLIGENCE
  • Heuristic Quantum Mechanics
  • Consistent Quantum Reasoning
  • Quantum Reinforcement Learning
• QAUNTUM COMPUTER VISION
• QUANTUM PROGRAMMING LANGUAGES , TOOLs and SOFTWARES
  • ALL
• QUANTUM ALGORITHMS SOURCE CODES , GITHUBS
• QUANTUM HOT TOPICS
  • Quantum Cognition
  • Quantum Camera
  • Quantum Mathematics
  • Quantum Information Processing
  • Quantum Image Processing
  • Quantum Cryptography
  • Quantum Elastic Search
  • Quantum DNA Computing
  • Adiabetic Quantum Computing
  • Topological Big Data Anlytics using Quantum
  • Hamiltonian Time Based Quantum Computing
  • Deep Quantum Learning
  • Quantum Tunneling
  • Quantum Entanglment
  • Quantum Eigen Spectrum
  • Quantum Dots
  • Quantum elctro dynamics
  • Quantum teleportation
  • Quantum Supremacy
  • Quantum Zeno Effect
  • Quantum Cohomology
  • Quantum Chromodynamics
  • Quantum Darwinism
  • Quantum Coherence
  • Quantum Decoherence
  • Topological Quantum Computing
  • Topological Quantum Field Theory
  • Quantum Knots
  • Topological Entanglment
  • Boson Sampling
  • Quantum Convolutional Code
  • Stabilizer Code
  • Quantum Chaos
  • Quantum Game Theory
  • Quantum Channel
  • Tensor Space Theory
  • Quantum Leap
  • Quantum Mechanics for Time Travel
  • Quantum Secured Block Chain
  • Quantum Internet
  • Quantum Optical Network
  • Quantum Interference
  • Quantum Optical Network
  • Quantum Operating System
  • Electron Fractionalization
  • Flip-Flop Quantum Computer
  • Quantum Information with Gaussian States
  • Quantum Anomaly Detection
  • Distributed Secure Quantum Machine Learning
  • Decentralized Quantum Machine Learning
  • Artificial Agents for Quantum Designs
  • Light Based Quantum Chips for AI Training
• QUANTUM STATE PREPARATION ALGORITHM FOR MACHINE LEARNING
  • Pure Quantum State
  • Product State
  • Matrix Product State
  • Greenberger–Horne–Zeilinger State
  • W state
  • AKLT model
  • Majumdar–Ghosh Model
  • Multistate Landau–Zener Models
  • Projected entangled-pair States
  • Infinite Projected entangled-pair States
  • Corner Transfer Matrix Method
  • Tensor-entanglement Renormalization
  • Tree Tensor Network for Supervised Learning
• QUANTUM MACHINE LEARNING VS DEEP LEARNING
• QUANTUM MEETUPS
• QUANTUM GOOGLE GROUPS
• QUANTUM BASED COMPANIES
• QUANTUM LINKEDLIN
• QUANTUM BASED DEGREES
• CONSOLIDATED QUANTUM ML BOOKS
• CONSOLIDATED QUANTUM ML VIDEOS
• CONSOLIDATED QUANTUM ML Reserach Papers
• CONSOLIDATED QUANTUM ML Reserach Scientist
• RECENT QUANTUM UPDATES FORUM ,PAGES AND NEWSLETTER

INTRODUCTION

Why Quantum Machine Learning?

Machine Learning(ML) is just a term in recent days but the work effort start from 18th century.

What is Machine Learning ? , In Simple word the answer is making the computer or application to learn themselves . So its totally related with computing fields like computer science and IT ? ,The answer is not true . ML is a common platform which is mingled in all the aspects of the life from agriculture to mechanics . Computing is a key component to use ML easily and effectively . To be more clear ,Who is the mother of ML ?, As no option Mathematics is the mother of ML . The world tremendous invention complex numbers given birth to this field . Applying mathematics to the real life problem always gives a solution . From Neural Network to the complex DNA is running under some specific mathematical formulas and theorems.

As computing technology growing faster and faster mathematics entered into this field and makes the solution via computing to the real world . In the computing technology timeline once a certain achievements reached peoples interested to use advanced mathematical ideas such as complex numbers ,eigen etc and its the kick start for the ML field such as Artificial Neural Network ,DNA Computing etc.

Now the main question, why this field is getting boomed now a days ? , From the business perspective , 8-10 Years before during the kick start time for ML ,the big barrier is to merge mathematics into computing field . people knows well in computing has no idea on mathematics and research mathematician has no idea on what is computing . The education as well as the Job Opportunities is like that in that time . Even if a person tried to study both then the business value for making a product be not good.

Then the top product companies like Google ,IBM ,Microsoft decided to form a team with mathematician ,a physician and a computer science person to come up with various ideas in this field . Success of this team made some wonderful products and they started by providing cloud services using this product . Now we are in this stage.

So what's next ? , As mathematics reached the level of time travel concepts but the computing is still running under classical mechanics . the companies understood, the computing field must have a change from classical to quantum, and they started working on the big Quantum computing field, and the market named this field as Quantum Information Science .The kick start is from Google and IBM with the Quantum Computing processor (D-Wave) for making Quantum Neural Network .The field of Quantum Computer Science and Quantum Information Science will do a big change in AI in the next 10 years. Waiting to see that........... .(google, ibm).

References

• D-Wave - Owner of a quantum processor
• Google - Quantum AI Lab
• IBM - Quantum Computer Lab
• Quora - Question Regarding future of quantum AI
• NASA - NASA Quantum Works
• Youtube - Google Video of a Quantum Processor
• external-link - MIT Review
• microsoft new product - Newly Launched Microsoft Quantum Language and Development Kit
• microsoft - Microsoft Quantum Related Works
• Google2 - Google Quantum Machine Learning Blog
• BBC - About Google Quantum Supremacy,IBM Quantum Computer and Microsoft Q
• Google Quantum Supremacy - Latest 2019 Google Quantum Supremacy Achievement
• IBM Quantum Supremacy - IBM Talk on Quantum Supremacy as a Primer
• VICE on the fight - IBM Message on Google Quantum Supremacy
• IBM Zurich Quantum Safe Cryptography - An interesting startup to replace all our Certificate Authority Via Cloud and IBM Q

BASICS

What is Quantum Mechanics?

In a single line study of an electron moved out of the atom then its classical mechanic ,vibrates inside the atom its quantum mechanics

• WIKIPEDIA - Basic History and outline
• LIVESCIENCE. - A survey
• YOUTUBE - Simple Animation Video Explanining Great.

What is Quantum Computing?

A way of parallel execution of multiple processess in a same time using qubit ,It reduces the computation time and size of the processor probably in neuro size

• WIKIPEDIA - Basic History and outline
• WEBOPEDIA. - A survey
• YOUTUBE - Simple Animation Video Explanining Great.

Quantum Computing vs Classical Computing

• LINK - Basic outline

Quantum Computing

Atom Structure

one line : Electron Orbiting around the nucleous in an eliptical format

• YOUTUBE - A nice animation video about the basic atom structure

Photon Wave

one line : Light nornmally called as wave transmitted as photons as similar as atoms in solid particles

• YOUTUBE - A nice animation video about the basic photon 1
• YOUTUBE - A nice animation video about the basic photon 2

Electron Fluctuation or spin

one line : When a laser light collide with solid particles the electrons of the atom will get spin between the orbitary layers of the atom

• YOUTUBE - A nice animation video about the basic Electron Spin 1
• YOUTUBE - A nice animation video about the basic Electron Spin 2
• YOUTUBE - A nice animation video about the basic Electron Spin 3

States

one line : Put a point on the spinning electron ,if the point is in the top then state 1 and its in bottom state 0

• YOUTUBE - A nice animation video about the Quantum States

SuperPosition

two line : During the spin of the electron the point may be in the middle of upper and lower position, So an effective decision needs to take on the point location either 0 or 1 . Better option to analyse it along with other electrons using probability and is called superposition

• YOUTUBE - A nice animation video about the Quantum Superposition

SuperPosition specific for machine learning(Quantum Walks)

one line : As due to computational complexity ,quantum computing only consider superposition between limited electrons ,In case to merge more than one set quantum walk be the idea

• YOUTUBE - A nice video about the Quantum Walks

Classical Bits

one line : If electron moved from one one atom to other ,from ground state to excited state a bit value 1 is used else bit value 0 used

Qubit

one line : The superposition value of states of a set of electrons is Qubit

• YOUTUBE - A nice video about the Quantum Bits 1
• YOUTUBE - A nice video about the Bits and Qubits 2

Basic Gates in Quantum Computing

one line : As like NOT, OR and AND , Basic Gates like NOT, Hadamard