Difference between revisions of "Journal Club Spring 2012"
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==Papers== | ==Papers== | ||
| − | + | June 2003: '''Randomizing quantum states: Constructions and applications''' - Hayden, Leung, Shor, Winter<br/> | |
| + | ''"The construction of a perfectly secure private quantum channel in dimension d is known to require 2 log d shared random key bits between the sender and receiver. We show that if only near-perfect security is required, the size of the key can be reduced by a factor of two."''<br/> | ||
| + | http://arxiv.org/abs/quant-ph/0307104 , http://arxiv.org/abs/0802.4193 | ||
| + | |||
| + | Sep 2004: '''Entanglement in Random Subspaces''' - Hayden<br/> | ||
| + | ''"The selection of random subspaces plays a role in quantum information theory analogous to the role of random strings in classical information theory."''<br/> | ||
| + | http://arxiv.org/abs/quant-ph/0409157 | ||
| + | |||
| + | Jun 2007: '''Random Unitaries Give Quantum Expanders''' - Hastings<br/> | ||
| + | ''"We show that randomly choosing the matrices in a completely positive map from the unitary group gives a quantum expander. "''<br/> | ||
| + | http://arxiv.org/abs/0706.0556 | ||
| + | |||
| + | Sep 2007: '''Quantum expanders from any classical Cayley graph expander''' - A. W. Harrow<br/> | ||
| + | ''"We give a simple recipe for translating walks on Cayley graphs of a group G into a quantum operation on any irrep of G. "''<br/> | ||
| + | http://arxiv.org/abs/0709.1142 0709.1142 | ||
| + | |||
| + | Apr 2008: '''Classical and Quantum Tensor Product Expanders''' - M. B. Hastings, A. W. Harrow<br/> | ||
| + | ''"We introduce the concept of quantum tensor product expanders. These are expanders that act on several copies of a given system, where the Kraus operators are tensor products of the Kraus operator on a single system."''<br/> | ||
| + | http://arxiv.org/abs/0804.0011 | ||
Revision as of 07:35, 28 March 2012
This quarter we will be focusing on Quantum Expanders and Randomized Constructions.
Contents
People
Organizer(1): Isaac Crosson
Organizer(2): Kamil Michnicki (kpm3uw@gmail.com)
Faculty Advisor: Aram Harrow
Place
Friday 1:30pm in Computer Science, CSE 503.
Schedule
| Subject | Speaker | Date |
|---|---|---|
| Introduction and Review | ??? | ??? |
| ??? | ??? | ??? |
Papers
June 2003: Randomizing quantum states: Constructions and applications - Hayden, Leung, Shor, Winter
"The construction of a perfectly secure private quantum channel in dimension d is known to require 2 log d shared random key bits between the sender and receiver. We show that if only near-perfect security is required, the size of the key can be reduced by a factor of two."
http://arxiv.org/abs/quant-ph/0307104 , http://arxiv.org/abs/0802.4193
Sep 2004: Entanglement in Random Subspaces - Hayden
"The selection of random subspaces plays a role in quantum information theory analogous to the role of random strings in classical information theory."
http://arxiv.org/abs/quant-ph/0409157
Jun 2007: Random Unitaries Give Quantum Expanders - Hastings
"We show that randomly choosing the matrices in a completely positive map from the unitary group gives a quantum expander. "
http://arxiv.org/abs/0706.0556
Sep 2007: Quantum expanders from any classical Cayley graph expander - A. W. Harrow
"We give a simple recipe for translating walks on Cayley graphs of a group G into a quantum operation on any irrep of G. "
http://arxiv.org/abs/0709.1142 0709.1142
Apr 2008: Classical and Quantum Tensor Product Expanders - M. B. Hastings, A. W. Harrow
"We introduce the concept of quantum tensor product expanders. These are expanders that act on several copies of a given system, where the Kraus operators are tensor products of the Kraus operator on a single system."
http://arxiv.org/abs/0804.0011
