Cryptography in the age of quantum computers

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Abstract/Contents

Abstract
It is well established that full-fledged quantum computers, when realized, will completely break many of today's cryptosystems. This looming threat has led to the proposal of so-called "post-quantum" systems, namely those that appear resistant to quantum attacks. We argue, however, that the attacks considered in prior works model only the near future, where the attacker may be equipped with a quantum computer, but the end-users implementing the protocols are still running classical devices. Eventually, quantum computers will reach maturity and everyone - even the end-users - will be running quantum computers. In this event, attackers can interact with the end-users over quantum channels, opening up a new set of attacks that have not been considered before. This thesis puts forth new security models and new security analyses showing how to ensure security against such quantum channel attacks. In particular, we re-build many core cryptographic functionalities, including pseudorandom functions, encryption, digital signatures, and more, resulting in the first protocols that are safe to use in a ubiquitous quantum computing world. Along the way, we resolve several open problems in quantum query complexity, such as the Collision Problem for random functions, the Set Equality Problem, and the Oracle Interrogation Problem.

Description

Type of resource text
Form electronic; electronic resource; remote
Extent 1 online resource.
Publication date 2015
Issuance monographic
Language English

Creators/Contributors

Associated with Zhandry, Mark
Associated with Stanford University, Department of Computer Science.
Primary advisor Boneh, Dan
Thesis advisor Boneh, Dan
Thesis advisor Valiant, Gregory
Thesis advisor Williams, Ryan (Richard Ryan)
Advisor Valiant, Gregory
Advisor Williams, Ryan (Richard Ryan)

Subjects

Genre Theses

Bibliographic information

Statement of responsibility Mark Zhandry.
Note Submitted to the Department of Computer Science.
Thesis Thesis (Ph.D.)--Stanford University, 2015.
Location electronic resource

Access conditions

Copyright
© 2015 by Mark Landry Zhandry
License
This work is licensed under a Creative Commons Attribution Non Commercial 3.0 Unported license (CC BY-NC).

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