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👾 notes and resources on quantum computing (e.g., quantum information, post-quantum cryptography, implications on post-quantum and blockchains)
blockchain-technologydocumentspost-quantum-cryptographyquantumquantum-algorithmsquantum-computingquantum-informationquantum-machine-learningquantum-mechanicsresources
| .gitignore | ||
| intro_group_theory_mia_von_steinkirch.pdf | ||
| intro_quantum_fcomputing_mia_von_steinkirch.pdf.pdf | ||
| intro_quantum_field_theory_mia_von_steinkirch.pdf | ||
| LICENSE | ||
| README.md | ||
Quantum Computing Machine Learning Studies
Quantum Computing
Atom Structure
Electron Orbiting around the nucleous in an eliptical format
- YOUTUBE - A nice animation video about the basic atom structure
Photon Wave
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
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
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
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)
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
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
The superposition value of states of a set of electrons is Qubit
Basic Gates in Quantum Computing
As like NOT, OR and AND , Basic Gates like NOT, Hadamard gate , SWAP, Phase shift etc can be made with quantum gates
- YOUTUBE - A nice video about the Quantum Gates
Quantum Diode
Quantum Diodes using a different idea from normal diode, A bunch of laser photons trigger the electron to spin and the quantum magnetic flux will capture the information
- YOUTUBE - A nice video about the Quantum Diode
Quantum Transistors
A transistor default have Source ,drain and gate ,Here source is photon wave ,drain is flux and gate is classical to quantum bits
Quantum Processor
A nano integration circuit performing the quantum gates operation sorrounded by cooling units to reduce the tremendous amount of heat
- YOUTUBE - Well Explained
Quantum Registery QRAM
Comparing to the the normal ram, it's ultrafast and very small in size ,the address location can be access using qubits superposition value ,for a very large memory set coherent superposition(address of address) be used
- PDF - very Well Explained
QUANTUM COMPUTING MACHINE LEARNING BRIDGE
Complex Numbers
Normally Waves Interference is in n dimensional structure , to find a polynomial equation n order curves ,better option is complex number
- YOUTUBE - Wonderful Series very super Explained
Tensors
Vectors have a direction in 2D vector space ,If on a n dimensional vector space ,vectors direction can be specify with the tensor ,The best solution to find the superposition of a n vector electrons spin space is representing vectors as tensors and doing tensor calculus
Tensors Network
As like connecting multiple vectors ,multple tensors form a network ,solving such a network reduce the complexity of processing qubits
- YOUTUBE - Tensors Network Some ideas specifically for quantum algorithms
QUANTUM MACHINE LEARNING ALGORITHMS
Quantum K-Nearest Neighbour
Here the centroid(euclidean distance) can be detected using the swap gates test between two states of the qubit , As KNN is regerssive loss can be tally using the average
- PDF1 from Microsoft - Theory Explanation
- PDF2 - A Good Material to understand the basics
- Matlab - Yet to come soon
- Python - Yet to come soon
Quantum K-Means
Two Approaches possible ,1. FFT and iFFT to make an oracle and calculate the means of superposition 2. Adiobtic Hamiltonian generation and solve the hamiltonian to determine the cluster
- PDF1 - Applying Quantum Kmeans on Images in a nice way
- PDF2 - Theory
- PDF3 - Explaining well the K-means clustering using hamiltonian
- Matlab - Yet to come soon
- Python - Yet to come soon
Quantum Fuzzy C-Means
As similar to kmeans fcm also using the oracle dialect ,but instead of means,here oracle optimization followed by a rotation gate is giving a good result
Quantum Support Vector Machine
Alittle different from above as here kernel preparation is via classical and the whole training be in oracles and oracle will do the classification, As SVM is linear ,An optimal Error(Optimum of the Least Squares Dual Formulation) Based regression is needed to improve the performance
- PDF1 - Nice Explanation but little hard to understand :)
- PDF2 - Nice Application of QSVM
- Matlab - Yet to come soon
- Python - Yet to come soon
Quantum Genetic Algorithm
One of the best algorithm suited for Quantum Field ,Here the chromosomes act as qubit vectors ,the crossover part carrying by an evaluation and the mutation part carrying by the rotation of gates
- PDF1 - Very Beautiful Article , well explained and superp
- PDF2 - A big theory :)
- PDF3 - Super Comparison
- Matlab - Simulation
- Python1 - Simulation
- Python2 - Yet to come
Quantum Hidden Morkov Models
As HMM is already state based ,Here the quantum states acts as normal for the markov chain and the shift between states is using quantum operation based on probability distribution
- PDF1 - Nice idea and explanation
- PDF2 - Nice but a different concept little
- Matlab - Yet to come
- Python1 - Yet to come
- Python2 - Yet to come
Quantum state classification with Bayesian methods
Quantum Bayesian Network having the same states concept using quantum states,But here the states classification to make the training data as reusable is based on the density of the states(Interference)
- PDF1 - Good Theory
- PDF2 - Good Explanation
- Matlab - Yet to come
- Python1 - Yet to come
- Python2 - Yet to come
Quantum Ant Colony Optimization
A good algorithm to process multi dimensional equations, ACO is best suited for Sales man issue , QACO is best suited for Sales man in three or more dimension, Here the quantum rotation circuit is doing the peromene update and qubits based colony communicating all around the colony in complex space
- PDF1 - Good Concept
- PDF2 - Good Application
- Matlab - Yet to come
- Python1 - Yet to come
- Python2 - Yet to come
Quantum Cellular Automata
One of the very complex algorithm with various types specifically used for polynomial equations and to design the optimistic gates for a problem, Here the lattice is formed using the quatum states and time calculation is based on the change of the state between two qubits ,Best suited for nano electronics
- Wikipedia - Basic
- PDF1 - Just to get the keywords
- PDF2 - Nice Explanation and an easily understandable application
- Matlab - Yet to come
- Python1 - Yet to come
- Python2 - Yet to come
QAUNTUM NEURAL NETWORK
Normal Neural Network is doing parallel procss ,QNN is doing parallel of parallel processess ,In theory combination of various activation functions is possible in QNN ,In Normal NN more than one activation function reduce the performance and increase the complexity
Quantum perceptrons
Perceptron(layer) is the basic unit in Neural Network ,The quantum version of perceptron must satisfy both linear and non linear problems , Quantum Concepts is combination of linear(calculus of superposition) and nonlinear(State approximation using probability) ,To make a perceptron in quantum world ,Transformation(activation function) of non linearity to certain limit is needed ,which is carrying by phase estimation algorithm
- PDF1 - Good Theory
- PDF2 - Good Explanation
- Matlab - Yet to come
- Python1 - Yet to come
- Python2 - Yet to come
QAUNTUM STATISTICAL DATA ANALYSIS
An under research concept ,It can be seen in multiple ways, one best way if you want to apply n derivative for a problem in current classical theory its difficult to compute as its serialization problem instead if you do parallelization of differentiation you must estimate via probability the value in all flows ,Quantum Probability Helps to achieve this ,as the loss calculation is very less . the other way comparatively booming is Quantum Bayesianism, its a solution to solve most of the uncertainity problem in statistics to combine time and space in highly advanced physical research
QUANTUM PROGRAMMING LANGUAGES , TOOLs and SOFTWARES
- Software - Nice content of all
- Python library - A python library
- Matlab based python library - Matlab Python Library
- Quantum Tensor Network Github - Tensor Network
- Bayesforge - A Beautiful Amazon Web Service Enabled Framework for Quantum Alogorithms and Data Analytics
- Rigetti - A best tools repository to use quantum computer in real time
- Rigetti Forest - An API to connect Quantum Computer
- quil/pyQuil - A quantum instruction language to use forest framework
- Grove - Grove is a repository to showcase quantum Fourier transform, phase estimation, the quantum approximate optimization algorithm, and others developed using Forest
- QISKit - A IBM Kit to access quantum computer and mainly for quantum circuits
- IBM Bluemix Simulator - A Bluemix Simulator for Quantum Circuits
- Microsoft Quantum Development Kit - Microsoft Visual Studio Enbaled Kit for Quantum Circuit Creation
- Microsoft "Q#" - Microsoft Q Sharp a new Programming Language for Quantum Circuit Creation
- qiskit api python - An API to connect IBM Quantum Computer ,With the generated token its easy to connect ,but very limited utils ,Lot of new utils will come soon
- Cyclops Tensor Framework - A framework to do tensor network simulations
- Python ToolKit for chemistry and physics Quantum Algorithm simulations - A New Started Project for simulating molecule and solids
- Bayesian Based Quatum Projects Repository - A nice repository and the kickstarter of bayesforge
- Google Fermion Products - A newly launched product specifivally for chemistry simulation
- Tree Tensor Networks - Interesting Tensor Network in Incubator
- Deep Tensor Neural Network - Some useful information about Tensor Neural Network in Incubator
- Generative Tensorial Networks - A startup to apply machine learning via tensor network for drug discovery
- Google Bristlecone - A new Quantum Processor from Google , Aimed for Future Hardwares with full fledged AI support
- XANADU - A Light based Quantum Hardware(chips supports) and Software Company Started in Preparation Stage. Soon will be in market
- fathom computing - A new concept to train the ai in a processor using light and quantum based concepts. soon products will be launch
- Alibaba Quantum Computing Cloud Service - Cloud Service to access 11 Bit Quantum Computing Processor
- Atomistic Machine Learning Project - Seems something Interesting with Deep Tensor Network for Quantum Chemistry Applications
- Quantum Tensorflow - Yet to come soon
- Quantum Spark - Yet to come soon
- Quatum Map Reduce - Yet to come soon
- Quantum Database - Yet to come soon
- Quantum Server - Yet to come soon
- Quantum Data Analytics - Yet to come soon