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## Quantum algorithms

*Vlatko Vedral*

### in Introduction to Quantum Information Science

- Published in print:
- 2006
- Published Online:
- January 2010
- ISBN:
- 9780199215706
- eISBN:
- 9780191706783
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199215706.003.0011
- Subject:
- Physics, Theoretical, Computational, and Statistical Physics

As computers get faster and faster, the size of the circuitry imprinted onto silicon chips decreases. The size of the circuitry becomes so small that its behavior is governed by the laws of quantum ... More

## Introduction to Quantum Information Science

*Vlatko Vedral*

- Published in print:
- 2006
- Published Online:
- January 2010
- ISBN:
- 9780199215706
- eISBN:
- 9780191706783
- Item type:
- book

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199215706.001.0001
- Subject:
- Physics, Theoretical, Computational, and Statistical Physics

In addition to treating quantum communication, entanglement, error correction, and algorithms in great depth, this book also addresses a number of interesting miscellaneous topics, such as Maxwell's ... More

## Quantum computing and entanglement: Les Houches School Singapore, June 29th–July 24th 2009

*Dagmar Bruß and Chiara Macchiavello*

### in Ultracold Gases and Quantum Information: Lecture Notes of the Les Houches Summer School in Singapore: Volume 91, July 2009

- Published in print:
- 2011
- Published Online:
- September 2011
- ISBN:
- 9780199603657
- eISBN:
- 9780191729515
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199603657.003.0004
- Subject:
- Physics, Theoretical, Computational, and Statistical Physics

This chapter contains an introduction to the main concepts in quantum computation and entanglement. It starts with a brief introduction to computational complexity and then introduces quantum gates ... More

## Outlook

*Vlatko Vedral*

### in Introduction to Quantum Information Science

- Published in print:
- 2006
- Published Online:
- January 2010
- ISBN:
- 9780199215706
- eISBN:
- 9780191706783
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199215706.003.0014
- Subject:
- Physics, Theoretical, Computational, and Statistical Physics

This book has discussed the foundations of quantum information science as well as the relationship between physics and information theory in general. It has considered the quantum equivalents of the ... More

## Entanglement, computation and quantum measurements

*Vlatko Vedral*

### in Introduction to Quantum Information Science

- Published in print:
- 2006
- Published Online:
- January 2010
- ISBN:
- 9780199215706
- eISBN:
- 9780191706783
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780199215706.003.00012
- Subject:
- Physics, Theoretical, Computational, and Statistical Physics

This chapter introduces a method that combines the concepts of quantum entanglement with those of quantum algorithms. In particular, some bounds are placed on the efficiency (speedup) of quantum ... More

## Introduction to Quantum Computing

*Andreas Bolfing*

### in Cryptographic Primitives in Blockchain Technology: A mathematical introduction

- Published in print:
- 2020
- Published Online:
- October 2020
- ISBN:
- 9780198862840
- eISBN:
- 9780191895463
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/oso/9780198862840.003.0008
- Subject:
- Mathematics, Computational Mathematics / Optimization, Logic / Computer Science / Mathematical Philosophy

This chapter gives a brief introduction to quantum computing, which is the discipline of studying algorithms based on the principles of quantum theory. It outlines the two fundamental quantum ... More

## Bitcoin Under Broken Crypto Primitives

*Andreas Bolfing*

### in Cryptographic Primitives in Blockchain Technology: A mathematical introduction

- Published in print:
- 2020
- Published Online:
- October 2020
- ISBN:
- 9780198862840
- eISBN:
- 9780191895463
- Item type:
- chapter

- Publisher:
- Oxford University Press
- DOI:
- 10.1093/oso/9780198862840.003.0009
- Subject:
- Mathematics, Computational Mathematics / Optimization, Logic / Computer Science / Mathematical Philosophy

Bitcoin’s security relies solely on cryptographic primitives, namely on digital signatures, hash functions and Merkle trees. This chapter discusses the security of the Bitcoin system if some ... More

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