Quantum walks, limits, and transport equations / Giuseppe Di Molfetta.

Format:

Book

Author/Creator:

Di Molfetta, Giuseppe, author.

Series:

IOP Ebooks Series

Language:

English

Subjects (All):

Quantum theory--Mathematics.

Quantum theory.

Random walks (Mathematics).

Physical Description:

1 online resource (71 pages)

Edition:

First edition.

Place of Publication:

Bristol, England : IOP Publishing, [2024]

Summary:

This book provides an overview of quantum walks, limits, and transport equations. After an introduction to quantum computing, quantum simulation, and then symmetries, it then narrows down to describe quantum transport and quantum walks.

Contents:

Intro

Author biography

Giuseppe Di Molfetta

Chapter Introduction

The plan

References

Chapter Elements of quantum theory

2.1 Reminders of linear algebra

2.1.1 Vectors

2.1.2 Operators

2.2 Postulates of quantum theory

Chapter Fundamentals of quantum walks

3.1 Quantum walks

3.1.1 Definitions

3.1.2 Dynamics

3.2 Higher-dimensional spaces

Chapter Continuous limits and plasticity in one dimension

4.1 Plastic quantum walk

4.1.1 The infinite line

4.2 Convergence

4.3 Discussion and open problems

Chapter Plasticity in 2D, transport equations and beyond

5.1 Higher spatial dimensions: the plane

5.2 Discussion and perspectives

Chapter Quantum walking over triangles

6.1 The model

6.2 Discussion and open problems

Chapter Simulating transport on curved surfaces

7.1 Mimicking curved transport on the grid

7.2 A quantum walk over a generic two-dimensional spatial triangulation

7.3 Discussion and perspectives

Chapter Conclusion

Reference.

Notes:

Description based on publisher supplied metadata and other sources.

Description based on print version record.

Includes bibliographical references.

ISBN:

9780750357449

0750357444

OCLC:

1456761032