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» On the Complexity of Quantum ACC
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STOC
2002
ACM
107views Algorithms» more  STOC 2002»
14 years 8 months ago
Quantum lower bound for the collision problem
The collision problem is to decide whether a function X : {1, . . . , n} {1, . . . , n} is one-to-one or two-to-one, given that one of these is the case. We show a lower bound of...
Scott Aaronson
STOC
2010
ACM
176views Algorithms» more  STOC 2010»
14 years 5 months ago
QIP = PSPACE
We prove that the complexity class QIP, which consists of all problems having quantum interactive proof systems, is contained in PSPACE. This containment is proved by applying a p...
Rahul Jain, Zhengfeng Ji, Sarvagya Upadhyay and Jo...
FOCS
2007
IEEE
14 years 1 months ago
Quantum Algorithms for Hidden Nonlinear Structures
Attempts to find new quantum algorithms that outperform classical computation have focused primarily on the nonabelian hidden subgroup problem, which generalizes the central prob...
Andrew M. Childs, Leonard J. Schulman, Umesh V. Va...
FCT
2005
Springer
14 years 1 months ago
On the Black-Box Complexity of Sperner's Lemma
We present several results on the complexity of various forms of Sperner’s Lemma in the black-box model of computing. We give a deterministic algorithm for Sperner problems over ...
Katalin Friedl, Gábor Ivanyos, Miklos Santh...
COCO
2004
Springer
118views Algorithms» more  COCO 2004»
14 years 1 months ago
Towards the Classical Communication Complexity of Entanglement Distillation Protocols with Incomplete Information
Entanglement is an essential resource for quantum communication and quantum computation, similar to shared random bits in the classical world. Entanglement distillation extracts n...
Andris Ambainis, Ke Yang