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
2
Part 1 Nuts and Bolts
7
Part 2 Making Qubits Work for You
10
Part 3 Quantum Computing Algorithms
14
Part 4 Beyond Gate-Based Quantum Computing

Solving Deutsch’s problem

The circuit that solves Deutsch’s problem has very few gates. It doesn’t look very complicated. But to understand why the circuit works, you have to understand some important concepts. This section covers those critical concepts.

Phase kickback

In Chapter 4, we introduced the controlled NOT (CNOT) gate with its control and target qubits. In a typical scenario, the control qubit tells the target qubit what to do, and the target qubit obeys willingly. But what about a non-typical scenario? Is there such a thing as a disobedient target qubit? To find out, let’s do an experiment.

Run the following code:

from qiskit import QuantumCircuitfrom qiskit.quantum_info import Statevector
from qiskit.visualization \
    import plot_bloch_multivector
circ = QuantumCircuit(2)
circ.x(1)
circ.h(0)
circ.h(1)
display(circ.draw('latex'))
state = Statevector(circ)
display(plot_bloch_multivector(state, reverse_bits...