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Advanced Data Structures, RSA and Quantum Algorithms
Sriram Sankaranarayanan
Sriram Sankaranarayanan
Introduces number-theory based cryptography, basics of quantum algorithms and advanced data-structures.
Read more
Introduces number-theory based cryptography, basics of quantum algorithms and advanced data-structures.
Read more
Introduces number-theory based cryptography, basics of quantum algorithms and advanced data-structures.
This course can be taken for academic credit as part of CU Boulder’s Masters of Science in Computer Science (MS-CS) degrees offered on the Coursera platform. This fully accredited graduate degree offer targeted courses, short 8-week sessions, and pay-as-you-go tuition. Admission is based on performance in three preliminary courses, not academic history. CU degrees on Coursera are ideal for recent graduates or working professionals. Learn more:
MS in Computer Science: https://coursera.org/degrees/ms-computer-science-boulder
Register for this course and see more details by visiting:
OpenCourser.com/course/ite7ih/advanced
What's inside
Syllabus
RSA Public Key Cryptography and Basics of Quantum Computing
This module covers a brief recap of elementary number theory, GCD, Euclid's algorithm, Bezout coefficients and presents the RSA public key cryptosystem. It then shows how the security of RSA relies on the supposed hardness of the factoring problem for numbers that are semi-primes
Read more
Syllabus
RSA Public Key Cryptography and Basics of Quantum Computing
This module covers a brief recap of elementary number theory, GCD, Euclid's algorithm, Bezout coefficients and presents the RSA public key cryptosystem. It then shows how the security of RSA relies on the supposed hardness of the factoring problem for numbers that are semi-primes
Read more
Quantum Computing: Qubits, Quantum Gates and Grover's Search Algorithm
This module covers the basics of quantum computing with an introduction to qubits, the concept of a superposition, the effect of measuring a qubit, elementary quantum gates, direct/tensor products, entanglements, quantum parallelism and ends with a presentation of Grover's search algorithm. We will have a brief introduction to IBM qiskit package for exploring quantum circuits.
Quantum Computing: Phase Estimation and Shor's Algorithm
We will describe Shor's algorithm and as part of Shor's algorithm show how Quantum Fourier Transform (a very useful operation for quantum systems) is computed. We will show how the power of quantum parallelism combines with the divide-and-conquer paradigm for algorithm design to yield exponential speedups for computing Quantum Fourier Transforms.
B-Trees and Tries
We will learn two important and interesting data structures to round off this course. The first data structure will be the widely used B-Tree data structure which is used in indexing and storing large amounts of data on a disk. Next, we will study algorithms on strings esp. string search algorithm. We will study the suffix trie data structure: a very useful data structure for fast searching over strings.
Good to know
Good to know
Know what's good ,
what to watch for , and
possible dealbreakers
Teaches in-depth understanding of cryptography and advanced data structures suitable for roles in system security engineering and algorithm design
Introduces quantum computing and demonstrates its potential to solve complex problems
Covers advanced topics in computer science, expanding capabilities in research or software development
Students without some prior background knowledge of cryptography, algorithms, and quantum theory may require extra effort to keep up
Understanding of the concepts and algorithms taught in this course requires significant intellectual rigor
Strongly recommended for students with a solid background in data structures, algorithms and number theory
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Activities
Be better prepared
before
your course. Deepen your understanding
during
and
after
it. Supplement your coursework and achieve mastery of the topics covered
in Advanced Data Structures, RSA and Quantum Algorithms with these
activities:
Review and practice foundational coding principles before starting on quantum algorithms.
Show steps
Improved performance in the course by taking time in advance to review basic programming principles.
Browse courses on
Coding
Show steps
-
Review basic programming concepts
-
Practice writing simple programs
-
Review data structures
Review mathematics prior to introduction of Quantum Fourier Transforms (QFT)
Show steps
Refresher on Mathematics in advance of QFT can solidify a foundation in the materials and provide extra confidence for dealing with new, challenging materials.
Show steps
-
Review complex numbers and their operations
-
Practice matrix multiplication
Follow a tutorial on RSA Encryption
Show steps
Enhance understanding of how RSA encryption works by completing tutorial on the topic.
Show steps
-
Find a recommended tutorial on RSA
-
Follow the tutorial
-
Test your understanding through in-tutorial quizzes
Five other activities
Expand to see all activities and additional details
Show all eight activities
Practice number theory with the Euclidean Algorithm
Show steps
Further solidify understanding of the Euclidean Algorithm through repetitive drills to build familiarity with the concept.
Browse courses on
Number Theory
Show steps
-
Identify two numbers to find GCD
-
Work through the Euclidean Algorithm
Review 'Quantum Computing for Computer Scientists' by Nielsen and Chuang
Show steps
Expand knowledge of quantum computing and delve into advanced concepts through reviewing a recommended text.
View
Quantum Computation and Quantum Information:...
on Amazon
Show steps
-
Obtain a copy of the book
-
Read the book
-
Take notes and highlight key concepts
-
Complete the exercises
Attend a workshop on Quantum Computing
Show steps
Gain a deeper understanding of the basics and advanced concepts of quantum computing through an interactive workshop.
Browse courses on
Quantum Computing
Show steps
-
Find a reputable workshop
-
Register for the workshop
-
Attend the workshop
-
Take notes and ask questions
Create a presentation on Grover's Search Algorithm
Show steps
Solidify knowledge of Grover's Search Algorithm and improve communication skills through creating a presentation.
Show steps
-
Research Grover's Search Algorithm
-
Develop an outline for the presentation
-
Create engaging slides
-
Rehearse the presentation
-
Deliver the presentation
Contribute to the Qiskit community
Show steps
Enhance practical knowledge of Quantum Computing and contribute to the broader community through open source contributions.
Browse courses on
Qiskit
Show steps
-
Identify an area of Qiskit to contribute to
-
Fork the Qiskit repository
-
Make your changes
-
Submit a pull request
-
Collaborate with other contributors
Review and practice foundational coding principles before starting on quantum algorithms.
Show steps
Improved performance in the course by taking time in advance to review basic programming principles.
Browse courses on
Coding
Show steps
Show steps
Show steps
- Review basic programming concepts
- Practice writing simple programs
- Review data structures
Review mathematics prior to introduction of Quantum Fourier Transforms (QFT)
Show steps
Refresher on Mathematics in advance of QFT can solidify a foundation in the materials and provide extra confidence for dealing with new, challenging materials.
Show steps
Show steps
Show steps
- Review complex numbers and their operations
- Practice matrix multiplication
Follow a tutorial on RSA Encryption
Show steps
Enhance understanding of how RSA encryption works by completing tutorial on the topic.
Show steps
Show steps
Show steps
- Find a recommended tutorial on RSA
- Follow the tutorial
- Test your understanding through in-tutorial quizzes
Five other activities
Expand to see all activities and additional details
Show all eight activities
Practice number theory with the Euclidean Algorithm
Show steps
Further solidify understanding of the Euclidean Algorithm through repetitive drills to build familiarity with the concept.
Browse courses on
Number Theory
Show steps
Show steps
Show steps
- Identify two numbers to find GCD
- Work through the Euclidean Algorithm
Review 'Quantum Computing for Computer Scientists' by Nielsen and Chuang
Show steps
Expand knowledge of quantum computing and delve into advanced concepts through reviewing a recommended text.
View
Quantum Computation and Quantum Information:...
on Amazon
Show steps
Show steps
Show steps
- Obtain a copy of the book
- Read the book
- Take notes and highlight key concepts
- Complete the exercises
Attend a workshop on Quantum Computing
Show steps
Gain a deeper understanding of the basics and advanced concepts of quantum computing through an interactive workshop.
Browse courses on
Quantum Computing
Show steps
Show steps
Show steps
- Find a reputable workshop
- Register for the workshop
- Attend the workshop
- Take notes and ask questions
Create a presentation on Grover's Search Algorithm
Show steps
Solidify knowledge of Grover's Search Algorithm and improve communication skills through creating a presentation.
Show steps
Show steps
Show steps
- Research Grover's Search Algorithm
- Develop an outline for the presentation
- Create engaging slides
- Rehearse the presentation
- Deliver the presentation
Contribute to the Qiskit community
Show steps
Enhance practical knowledge of Quantum Computing and contribute to the broader community through open source contributions.
Browse courses on
Qiskit
Show steps
Show steps
Show steps
- Identify an area of Qiskit to contribute to
- Fork the Qiskit repository
- Make your changes
- Submit a pull request
- Collaborate with other contributors
Career center
Learners who complete Advanced Data Structures, RSA and Quantum Algorithms will develop knowledge and skills
that may be useful to these careers:
Kvantuminformatikus
Kvantuminformatikus
A Kvantuminformatikusok a kvantumfizika és a számítástechnika különböző aspektusait használják fel kvantumalkalmazások létrehozására. Ez a tanfolyam a kvantumszámítógépek alapjait és az olyan algoritmusokat tárgyalja, mint a Grover-keresés és a Shor-algoritmus, amelyek alapvető fontosságúak a kvantuminformatika területén.
Kvantumszámítógép-programozó
Kvantumszámítógép-programozó
A Kvantumszámítógép-programozók szoftvereket fejlesztenek kvantumszámítógépekhez. Ez a tanfolyam segíthet a kvantumszámítógépek alapjainak és az olyan algoritmusoknak, mint a Shor-algoritmus, a megértésének megalapozásában, amelyek létfontosságúak a kvantumszámítógépek programozásához.
Kriptográfiai mérnök
Kriptográfiai mérnök
A Kriptográfiai mérnökök biztonságos kommunikációs rendszereket és kódolási technológiákat terveznek, fejlesztenek, telepítenek és karbantartanak. Ez a tanfolyam segíthet az olyan alapvető kriptográfiai ismeretek megalapozásában, mint az RSA és a kvantumszámítógépek, amelyek létfontosságúak a biztonságos és megbízható rendszerek tervezéséhez.
Mesterséges intelligencia kutató
Mesterséges intelligencia kutató
A Mesterséges intelligencia kutatók új mesterséges intelligencia elméleteket és technológiákat kutatnak és fejlesztenek. Ez a tanfolyam segíthet az olyan alapvető számítógép-tudományi ismeretek megalapozásában, mint az adatstruktúrák és algoritmusok, amelyek létfontosságúak a mesterséges intelligencia területén végzett kutatásokhoz.
Kiberbiztonsági elemző
Kiberbiztonsági elemző
A Kiberbiztonsági elemzők számítógépes rendszereket és hálózatokat vizsgálnak, hogy azonosítsák és megelőzzék a biztonsági fenyegetéseket. Ez a tanfolyam segíthet az olyan alapvető kriptográfiai ismeretek megalapozásában, mint az RSA, amelyek létfontosságúak a biztonságos és megbízható rendszerek védelméhez.
Informatikai kutató
Informatikai kutató
Az Informatikai kutatók új számítógépes elméleteket és technológiákat kutatnak és fejlesztenek. Ez a tanfolyam segíthet az olyan alapvető számítógép-tudományi ismeretek megalapozásában, mint az adatstruktúrák és a kvantumszámítógépek, amelyek létfontosságúak a számítástechnika területén végzett kutatásokhoz.
Blockchain fejlesztő
Blockchain fejlesztő
A Blockchain fejlesztők blockchain alapú alkalmazásokat és szolgáltatásokat terveznek, fejlesztenek és karbantartanak. Ez a tanfolyam segíthet az olyan alapvető kriptográfiai ismeretek megalapozásában, mint az RSA, amelyek létfontosságúak a biztonságos és megbízható blockchain alapú rendszerek létrehozásához.
Adatbázis-adminisztrátor
Adatbázis-adminisztrátor
Az Adatbázis-adminisztrátorok adatbázisokat hoznak létre, kezelnek és karbantartanak. Ez a tanfolyam segíthet az olyan alapvető adatstruktúrák és algoritmusok megértésének megalapozásában, amelyek létfontosságúak a hatékony és megbízható adatbázisok létrehozásához és kezeléséhez.
Adattudományos
Adattudományos
Az Adattudományosok adatokat gyűjtenek, elemzik és értelmeznek, hogy betekintést nyerjenek belőlük. Ez a tanfolyam segíthet az adatstruktúrák és algoritmusok megértésének megalapozásában, ami létfontosságú az adatok hatékony tárolásához és kezeléséhez.
Szoftverfejlesztő
Szoftverfejlesztő
A Szoftverfejlesztők szoftveralkalmazásokat terveznek, fejlesztenek és karbantartanak. Ez a tanfolyam segíthet a fejlett adatstruktúrák és algoritmusok megértésének megalapozásában, ami létfontosságú a hatékony és megbízható szoftverek létrehozásához.
Adatmérnök
Adatmérnök
Az Adatmérnökök nagy adathalmazok gyűjtését, tárolását, elemzését és értelmezését végzik. Ez a tanfolyam segíthet az olyan alapvető számítógép-tudományi ismeretek megalapozásában, mint az adatstruktúrák és algoritmusok, amelyek létfontosságúak a nagy adatmennyiségek hatékony kezeléséhez.
Nagy teljesítményű számítógép-programozó
Nagy teljesítményű számítógép-programozó
A Nagy teljesítményű számítógép-programozók szoftvereket fejlesztenek nagy teljesítményű számítógépekhez. Ez a tanfolyam segíthet az olyan alapvető adatstruktúrák és algoritmusok megértésének megalapozásában, amelyek létfontosságúak a hatékony és megbízható nagy teljesítményű számítógépes programok létrehozásához.
Cloud computing mérnök
Cloud computing mérnök
A Cloud computing mérnökök terveznek, fejlesztenek és karbantartanak felhőalapú alkalmazásokat és szolgáltatásokat. Ez a tanfolyam segíthet az olyan alapvető adatstruktúrák és algoritmusok megértésének megalapozásában, amelyek létfontosságúak a hatékony és megbízható felhőalapú alkalmazások létrehozásához.
Kriptovaluta kereskedő
Kriptovaluta kereskedő
A Kriptovaluta kereskedők kriptovalutákkal kereskednek különböző tőzsdéken. Ez a tanfolyam segíthet a kriptográfia és a kvantumszámítógépek alapjainak megértésében, ami létfontosságú a kriptovaluták biztonságos és jövedelmező kereskedéséhez.
Informatikai tanár
Informatikai tanár
Az Informatikai tanárok számítástechnikát tanítanak középiskolákban és egyetemeken. Ez a tanfolyam segíthet az olyan alapvető számítógép-tudományi ismeretek megalapozásában, mint az adatstruktúrák és algoritmusok, amelyek létfontosságúak a számítástechnika hatékony és érdekes tanításához.
For more career information including salaries, visit:
OpenCourser.com/course/ite7ih/advanced
Reading list
We've selected 15 books
that we think will supplement your
learning. Use these to
develop background knowledge, enrich your coursework, and gain a
deeper understanding of the topics covered in
Advanced Data Structures, RSA and Quantum Algorithms.
Provides a deeper understanding of quantum algorithms and their applications in quantum systems, including quantum computation, quantum simulation, and quantum information theory.
Save
Provides a gentle introduction to the basics of quantum computing. It covers various topics, including qubits, quantum gates, Shor's algorithm, and quantum Fourier transform. It will be a valuable resource if you are interested in learning more about quantum algorithms and their potential applications.
This textbook provides a rigorous introduction to quantum computer science, covering topics like quantum information, quantum algorithms, and quantum complexity. It is suitable for advanced undergraduate or graduate students.
Save
Explores post-quantum cryptography, which offers potential solutions to the threat posed by quantum computers to current cryptosystems like RSA.
Provides a comprehensive introduction to quantum computing for students and researchers in various fields. It covers quantum information, quantum algorithms, and quantum hardware.
Offers a practical look at quantum computing, focusing on the current state of the field and potential applications. It is suitable for readers with a background in computer science or physics.
Provides a theoretical foundation for computer science, covering topics like finite automata, regular expressions, context-free grammars, and Turing machines. It valuable resource for understanding the theoretical underpinnings of algorithms and data structures.
Introduces the mathematical concepts and techniques used in number theory, including modular arithmetic, divisibility, prime numbers, and factorization. It valuable resource for understanding the theoretical foundations of cryptography.
Offers a clear and accessible introduction to quantum computing, suitable for readers with no prior knowledge of the subject. It covers quantum bits, quantum gates, quantum algorithms, and potential applications.
Provides a comprehensive overview of data structures and algorithms using Java, a language commonly used in industry and academia. It covers advanced data structures like B-trees and tries, which are topics in this course.
Covers advanced number theory algorithms used in cryptography, including primality testing, factoring, and computing discrete logarithms.
Save
This handbook offers a comprehensive overview of quantum computing, covering topics like qubits, quantum gates, quantum algorithms, and error correction. It is suitable for readers with a background in physics or computer science.
Focuses on the fundamental concepts of cryptography and provides a broad overview of the field. It will help you better understand the RSA public key cryptosystem.
Teaches performance analysis techniques essential for understanding and improving computer systems, including topics like B-tree performance optimization, which relates to the B-trees covered in this course.
Save
Provides a solid foundation in discrete mathematics, covering topics like number theory, combinatorics, and graph theory, which are relevant to the study of data structures and algorithms.
For more information about how these books relate to this course, visit:
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Effort
4 weeks of study, 10-15 hours per week
Level
Advanced
Via
Coursera
Institution
University of Colorado Boulder
Instructor
Sriram Sankaranarayanan
Language
English
Transcripts
magyar nyelv
اُردُو,
فارسی
বাংলা
پښتو
آذربایجان دیلی
This course belongs to a
collection
called
Foundations of Data Structures and Algorithms. It's comprised of five courses:
- Approximation Algorithms and Linear Programming
- Trees and Graphs: Basics
- Algorithms for Searching, Sorting, and Indexing
- Dynamic Programming, Greedy Algorithms
- Advanced Data Structures, RSA and Quantum Algorithms (viewing)
Good to know
Teaches in-depth understanding of cryptography and advanced data structures suitable for roles in system security engineering and algorithm design
Introduces quantum computing and demonstrates its potential to solve complex problems
Covers advanced topics in computer science, expanding capabilities in research or software development
Students without some prior background knowledge of cryptography, algorithms, and quantum theory may require extra effort to keep up
Understanding of the concepts and algorithms taught in this course requires significant intellectual rigor
Strongly recommended for students with a solid background in data structures, algorithms and number theory
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