Quantum Computing

Index

• Overview
• Fundamentals
  • Quantum Supremacy
  • Computational Complexity
• Quantum Gates and Circuits
• Quantum Algorithms
  • Overview
  • Basic Algorithms
  • Advanced Algorithms
• Quantum Hardware
• Overview
• Cubit
• Other Proposals
• Simulators
• Analog Quantum Computers
• Gate-Based Quantum Computers
• Measurement Based Quantum Computers
• Evaluation of Quantum Computers
• Manufacturers
• Programming Languages
• Quantum SW tools
  • Simulators
  • Optimisers
  • Correction of Errors
  • Circuit Designers
  • Development Environments

General View

• Decoded: How Does a Quantum Computer Work?
• Introduction: A New Quantum Revolution
• Quantum computing at the quantum advantage threshold: a down-to-business review
• Understanding Quantum Technologies. 4ed.

Fundamentals

• Concept
• Quantum Supremacy Using a Programmable Superconducting Processor I

• Complexity Zoo
• The Limits of Quantum
• What Can a Quantum Computer Actually Do?

Quantum Gates and Circuits

Quantum Gates

Quantum Circuits

Quantum Algorithms

Overview

• Basic Quantum Algorithms
• Quantum Algorithm Zoo
• Quantum algorithms: A survey of applications and end-to-end complexities
• Quantum Error Correction For Dummies
• The Quantum Frontier of Software Engineering: A Systematic Mapping Study
• The Story of Shor's Algorithm

Basic Algorithms

• Bernstein-Vazirani Algorithm
• Deutsch-Jozsa
• Quantum Katas
• Grover's Search Algorithm
• Lecture Notes on Quantum Algorithms
  • Quantum Katas
• Quantum Counting Algorithm
• Quantum Fourier Transform
  • Quantum Katas
• Quantum Phase Estimation Algorithm
• Quantum Teleportation
  • Quantum Katas
• Simon's Algorithm
  • Distributed quantum algorithm for Simon's problem
  • Quantum Katas
• Shor's Factoring Algorithm
• Superdense Coding
  • Quantum Katas
• Variational Quantum Algorithms
  • The Variational Quantum Eigensolver: a review of methods and best practices

Advanced Algorithms

• An Efficient Quantum Factoring Algorithm
• An Expressive Ansatz for Low-Depth Quantum Optimisation
• Continuous Variable Quantum Algorithms: an Introduction
• EVA: a quantum Exponential Value Approximation
• Implementable Hybrid Quantum Ant Colony Optimization Algorithm
• Noisy intermediate-scale quantum (NISQ) algorithms
• Optimizing Space in Regev's Factoring Algorithm
• Parallel Quantum Rapidly-Exploring Random Trees
• Polynomial-depth quantum algorithm for computing matrix determinant
• Quantum Algorithm for Dynamic Programming Approach for DAGs and Applications
• Quantum algorithms for scientific applications
• QAOA
• Quantum Approximate Optimization Algorithm for Bayesian network structure learning
• Searching and Sorting Algorithms for Quantum Annealing Computers
• Variational Quantum Eigensolver
• Qiskit Implementation
• Algoritmo Harrow-Lloyd

Quantum Hardware

Overview

• 10 Differences between Classical computing and Quantum computing
• Application-Oriented Performance Benchmarks for Quantum Computing
• Quantum Computing: An Overview Across the System Stack

Cubit

• Atom-based technologies
• Ion trap
• A compact ion-trap quantum computing demonstrator
• Architecture for a large-scale ion-trap quantum computer
• Demonstration of a Fundamental Quantum Logic Gate
• Efficient motional-mode characterization for high-fidelity trapped-ion quantum computing
• Feasibility study of quantum computing using trapped electrons
• Quantum Computations with Cold Trapped Ions
• Seven Quantum Companies utilising Ion Trap Technology to build the future of Quantum Computing
• TILT: Achieving Higher Fidelity on a Trapped-Ion Linear-Tape Quantum Computing Architecture
• Quantum computing with trapped ions: a beginner’s guide
• Trapping Electrons in a Room-Temperature Microwave Paul Trap
• Trapped Ion Quantum Computing using Optical Tweezers and the Magnus Effect
• Trapped-Ion Quantum Computer with Robust Entangling Gates and Quantum Coherent Feedback
• Trapped-ion quantum computing: Progress and challenges
• Neutral-Atom Qubits
• Neutral Atom Quantum Computing Hardware: Performance and End-User Perspective
• Quantum Computing With Neutral Atoms - Perspectives
• Quantum Computing With Neutral Atoms
• Electron-based technologies
• Superconductivity
• Building logical qubits in a superconducting quantum computing system
• Gate-based superconducting quantum computing
• Perspective on superconducting qubit quantum computing
• Quantum information processing with superconducting circuits: a perspective
• Superconducting quantum bits
• Superconducting Qubit: Current State of Play
• The Future of Quantum Computing with Superconducting Qubits
• Quantum dot
• Quantum Computation with Quantum Dots
• Nitrogen-Vacancy Center
• Coherent coupling of a superconducting flux qubit to an electron spin ensemble in diamond
• Room temperature entanglement between distant single spins in diamond
• Topological Cubits
• A Short Introduction to Topological Quantum Computation
• Microsoft has demonstrated the underlying physics required to create a new kind of qubit
• Photon-based technologies
• 20-Mode Universal Quantum Photonic Processor
• 2022 Roadmap on integrated quantum photonics
• A Compilation Framework for Photonic One-Way Quantum Computation
• A scheme for efficient quantum computation with linear optics
• Photonic quantum information processing: A concise review
• Photonic quantum technologies
• Photonic chip brings optical quantum computers a step closer
• The Category of Linear Optical Quantum Computing

Other Proposals

• Qutrit
• Beyond Qubits: Key Components for a Qutrit-Based Quantum Computer Demonstrated
• Qudits
• A universal qudit quantum processor with trapped ions
• Efficient realization of quantum algorithms with qudits

Simulators

• CTIC Quantum Testbed
• Fujitsu Digital Annealer
• QCVis: A Quantum Circuit Visualization and Education Platform for Novices
• QForte: an efficient state simulator and quantum algorithms library for molecular electronic structure
• RGB Image Classification with Quantum Convolutional Ansaetze
• Scqubits: a Python package for superconducting qubits
• Web Quantum-Inspire

Analog Quantum Computers

• Adiabatic Quantum Computing
• Ising formulations of many NP problems
• Quantum annealing
• What is Quantum Annealing?

Gate-Based Quantum Computers

• Noisy Intermediate Scale Computers (NISQ)
• Quantum Computing in the NISQ era and beyond
• Sampling on NISQ Devices: “Who's the Fairest One of All?”
• Fault Tolerant Quantum Computers
• Automatic Implementation and Evaluation of Error-Correcting Codes for Quantum Computing
• Demonstration of fault-tolerant universal quantum gate operations
• Low overhead fault-tolerant quantum error correction with the surface-GKP code
• Optimal two-qubit circuits for universal fault-tolerant quantum computation
• Quantum Error Mitigation as a Universal Error Reduction Technique: Applications from the NISQ to the Fault-Tolerant Quantum Computing Eras
• Quantum error mitigation for fault-tolerant quantum computing
• Real-Time Decoding for Fault-Tolerant Quantum Computing: Progress, Challenges and Outlook
• The Race to Build a Fault-Tolerant Superconducting Quantum Computer
• Virtual Logical Qubits: A Compact Architecture for Fault-Tolerant Quantum Computing

Measurement Based Quantum Computers

• An efficient algebraic representation for graph states for measurement-based quantum computing
• An introduction to measurement based quantum computation
• Realizations of Measurement Based Quantum Computing
• The power of qutrits for non-adaptive measurement-based quantum computing

Evaluation of Quantum Computers

• DiVincenzo's Criteria
• Hidary Criteria
• Quantum Technology Readiness Level
• Single-Qubit Cross Platform Comparison of Quantum Computing Hardware
• SupermarQ: A Scalable Quantum Benchmark Suite

Manufacturers

• AQT
• Bleximo
• Cold Quanta
• D-Wave
• EeroQ
• Google
• Hitachi
• Honeywell
• IBM
• IMQ
• IONQ
• IQM
• OQC
• OriginQ
• PASQAL
• PsiQuantum
• QuantumBrilliance
• QuantumCircuits
• QuEra
• QuantumMotion
• QuiX
• Rigetti
• Seeqc
• SQC
• UniversalQuantum
• Xanadu