Book Image

Quantum Computing Algorithms

By : Barry Burd
5 (1)
Book Image

Quantum Computing Algorithms

5 (1)
By: Barry Burd

Overview of this book

Navigate the quantum computing spectrum with this book, bridging the gap between abstract, math-heavy texts and math-avoidant beginner guides. Unlike intermediate-level books that often leave gaps in comprehension, this all-encompassing guide offers the missing links you need to truly understand the subject. Balancing intuition and rigor, this book empowers you to become a master of quantum algorithms. No longer confined to canned examples, you'll acquire the skills necessary to craft your own quantum code. Quantum Computing Algorithms is organized into four sections to build your expertise progressively. The first section lays the foundation with essential quantum concepts, ensuring that you grasp qubits, their representation, and their transformations. Moving to quantum algorithms, the second section focuses on pivotal algorithms — specifically, quantum key distribution and teleportation. The third section demonstrates the transformative power of algorithms that outpace classical computation and makes way for the fourth section, helping you to expand your horizons by exploring alternative quantum computing models. By the end of this book, quantum algorithms will cease to be mystifying as you make this knowledge your asset and enter a new era of computation, where you have the power to shape the code of reality.
Table of Contents (19 chapters)
Free Chapter
Part 1 Nuts and Bolts
Part 2 Making Qubits Work for You
Part 3 Quantum Computing Algorithms
Part 4 Beyond Gate-Based Quantum Computing

Illustrating Shor’s algorithm with Qiskit code

In this section, we present two Qiskit programs. One program illustrates, in a straightforward manner, the application of Qiskit’s QFT function. The other uses special tricks to construct a circuit that scales for large numbers. Neither program implements Shor’s algorithm in complete detail.

Testing the QFT

We begin this example with the required import statements:

from qiskit import QuantumCircuit, Aer, executefrom qiskit.circuit.library import QFT
from import plot_histogram
import numpy as np

With public key 15 and coprime 7, we create a vector containing eight values of 7n % 15:

public_key = 15coprime = 7
#coprime = 11
vector = []
for i in range(8):
    vector.append(coprime**i % public_key)
norm = np.linalg.norm(vector)
statevector = vector / norm