Quantum Algorithms: A Survey of Applications and End-to-end Complexities

Alexander M. Dalzell; Sam McArdle; Mario Berta; Przemyslaw Bienias; Chi-Fang Chen; András Gilyén; Connor T. Hann; Michael J. Kastoryano; Emil T. Khabiboulline; Aleksander Kubica; Grant Salton; Samson Wang; Fernando G. S. L. Brandão

doi:10.1017/9781009639651

The 1994 discovery of Shor's quantum algorithm for integer factorization—an important practical problem in the area of cryptography—demonstrated quantum computing's potential for real-world impact. Since then, researchers have worked intensively to expand the list of practical problems that quantum algorithms can solve effectively. This book surveys the fruits of this effort, covering proposed quantum algorithms for concrete problems in many application areas, including quantum chemistry, optimization, finance, and machine learning. For each quantum algorithm considered, the book clearly states the problem being solved and the full computational complexity of the procedure, making sure to account for the contribution from all the underlying primitive ingredients. Separately, the book provides a detailed, independent summary of the most common algorithmic primitives. It has a modular, encyclopedic format to facilitate navigation of the material and to provide a quick reference for designers of quantum algorithms and quantum computing researchers.

‘This timely and forward-looking survey captures the state-of-the-art in quantum computing. Focusing on cutting-edge applications and recent advances in quantum primitives, it serves as an essential resource for understanding the rapidly evolving role of quantum algorithms in scientific discovery.’

Lin Lin - University of California, Berkeley

- Aa Reduce text
- Aa Enlarge text

View selected items
Save to my bookmarks
Export citations
Download PDF (zip)
Save to Kindle
Save to Dropbox
Save to Google Drive
Save content to
To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to .

To save content items to your Kindle, first ensure no-reply@cambridge.org is added to your Approved Personal Document E-mail List under your Personal Document Settings on the Manage Your Content and Devices page of your Amazon account. Then enter the ‘name’ part of your Kindle email address below. Find out more about saving to your Kindle.

Note you can select to save to either the @free.kindle.com or @kindle.com variations. ‘@free.kindle.com’ emails are free but can only be saved to your device when it is connected to wi-fi. ‘@kindle.com’ emails can be delivered even when you are not connected to wi-fi, but note that service fees apply.

Find out more about the Kindle Personal Document Service.

Please be advised that item(s) you selected are not available.
You are about to save
Your Kindle email address

Please provide your Kindle email.

@free.kindle.com @kindle.com (service fees apply)

By using this service, you agree that you will only keep content for personal use, and will not openly distribute them via Dropbox, Google Drive or other file sharing services

Full book PDF

Page 1 of 2

First
« Prev
1
2
Next »
Last

Contents

Frontmatter
pp i-iv
- - You have access
  - Open access
- PDF
- Export citation

Contents
pp v-viii
- - You have access
  - Open access
- PDF
- Export citation

Preface
pp ix-xiv
- - You have access
  - Open access
- PDF
- Export citation

Part I - Areas of application
pp 1-3
- - You have access
  - Open access
- PDF
- Export citation

1 - Condensed matter physics
pp 4-28
- - You have access
  - Open access
- PDF
- Export citation

2 - Quantum chemistry
pp 29-50
- - You have access
  - Open access
- PDF
- Export citation

3 - Nuclear and particle physics
pp 51-61
- - You have access
  - Open access
- PDF
- Export citation

4 - Combinatorial optimization
pp 62-77
- - You have access
  - Open access
- PDF
- Export citation

5 - Continuous optimization
pp 78-97
- - You have access
  - Open access
- PDF
- Export citation

6 - Breaking cryptosystems
pp 98-110
- - You have access
  - Open access
- PDF
- Export citation

7 - Solving differential equations
pp 111-129
- - You have access
  - Open access
- PDF
- Export citation

8 - Finance
pp 130-147
- - You have access
  - Open access
- PDF
- Export citation

9 - Machine learning with classical data
pp 148-184
- - You have access
  - Open access
- PDF
- Export citation

Part II - Quantum algorithmic primitives
pp 185-187
- - You have access
  - Open access
- PDF
- Export citation

10 - Quantum linear algebra
pp 188-209
- - You have access
  - Open access
- PDF
- Export citation

11 - Hamiltonian simulation
pp 210-224
- - You have access
  - Open access
- PDF
- Export citation

12 - Quantum Fourier transform
pp 225-227
- - You have access
  - Open access
- PDF
- Export citation

13 - Quantum phase estimation
pp 228-234
- - You have access
  - Open access
- PDF
- Export citation

14 - Amplitude amplification and estimation
pp 235-242
- - You have access
  - Open access
- PDF
- Export citation

15 - Gibbs sampling
pp 243-249
- - You have access
  - Open access
- PDF
- Export citation

16 - Quantum adiabatic algorithm
pp 250-254
- - You have access
  - Open access
- PDF
- Export citation

17 - Loading classical data
pp 255-269
- - You have access
  - Open access
- PDF
- Export citation

18 - Quantum linear system solvers
pp 270-275
- - You have access
  - Open access
- PDF
- Export citation

19 - Quantum gradient estimation
pp 276-280
- - You have access
  - Open access
- PDF
- Export citation

20 - Variational quantum algorithms
pp 281-285
- - You have access
  - Open access
- PDF
- Export citation

21 - Quantum tomography
pp 286-290
- - You have access
  - Open access
- PDF
- Export citation

22 - Quantum interior point methods
pp 291-298
- - You have access
  - Open access
- PDF
- Export citation

23 - Multiplicative weights update method
pp 299-304
- - You have access
  - Open access
- PDF
- Export citation

24 - Approximate tensor network contraction
pp 305-310
- - You have access
  - Open access
- PDF
- Export citation

Part III - Fault-tolerant quantum computing
pp 311-313
- - You have access
  - Open access
- PDF
- Export citation

Page 1 of 2

First
« Prev
1
2
Next »
Last

Metrics

Altmetric attention score

Total number of HTML views: 0

Total number of PDF views: 0 *

Loading metrics...

Total views: 0 *

Loading metrics...

* Views captured on Cambridge Core between #date#. This data will be updated every 24 hours.

Usage data cannot currently be displayed.

Why this information is here

This section outlines the accessibility features of this content - including support for screen readers, full keyboard navigation and high-contrast display options. This may not be relevant for you.

Accessibility Information

Accessibility compliance for the PDF of this book is currently unknown and may be updated in the future.

Quantum Algorithms

A Survey of Applications and End-to-end Complexities

Book description

Reviews

Refine List

Actions for selected content:

Save Search

Contents

Metrics

Altmetric attention score

Full text views

Book summary page views

Accessibility standard: Unknown

Why this information is here

Accessibility Information