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You're reading from  Quantum Computing Algorithms

Product typeBook
Published inSep 2023
PublisherPackt
ISBN-139781804617373
Edition1st Edition
Concepts
Quantum Computing
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Author (1)
Barry Burd
Barry Burd
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Barry Burd

Barry Burd received a master's degree in computer science at Rutgers University and a Ph.D. in mathematics at the University of Illinois. As a teaching assistant in Champaign–Urbana, Illinois, he was elected five times to the university-wide List of Teachers Ranked as Excellent by Their Students. Since 1980, Dr. Burd has been a professor in the department of mathematics and computer science at Drew University in Madison, New Jersey. He has spoken at conferences in the United States, Europe, Australia, and Asia. In 2020, he was honored to be named a Java Champion. Dr. Burd lives in Madison, New Jersey, USA, where he spends most of his waking hours in front of a computer screen.
Read more about Barry Burd

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Questions

  1. Using a pencil and paper or a hand calculator, find the factors of 14 using 3 as a coprime. (Use only the technique shown in the section entitled The role of a period in factoring a number. Don’t try applying the QFT.)
  2. Using a pencil and paper or a hand calculator, find the factors of 35 using 2 as a coprime. (Again, use only the technique shown in the section entitled The role of a period in factoring a number.)
  3. Write the value of using a + bi notation.
  4. Write down the entries of a 4 × 4 QFT matrix. Use the notation for complex numbers that’s shown in Figure 9.8. Then, use the 4 × 4 QFT matrix to find the entries in the QFT† matrix.
  5. Write down the entries of a 2 × 2 QFT matrix. Does this matrix look familiar?
  6. Fill in the missing values in Figure 9.20.
  7. Why isn’t 3 useful as a coprime when you try to factor 22?
  8. Starting with the powers of 7 shown in the How Shor’s algorithm works section, use...
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Quantum Computing Algorithms
Published in: Sep 2023Publisher: PacktISBN-13: 9781804617373
© 2023 Packt Publishing Limited All Rights Reserved

Author (1)

author image
Barry Burd

Barry Burd received a master's degree in computer science at Rutgers University and a Ph.D. in mathematics at the University of Illinois. As a teaching assistant in Champaign–Urbana, Illinois, he was elected five times to the university-wide List of Teachers Ranked as Excellent by Their Students. Since 1980, Dr. Burd has been a professor in the department of mathematics and computer science at Drew University in Madison, New Jersey. He has spoken at conferences in the United States, Europe, Australia, and Asia. In 2020, he was honored to be named a Java Champion. Dr. Burd lives in Madison, New Jersey, USA, where he spends most of his waking hours in front of a computer screen.
Read more about Barry Burd

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