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» Quantum lower bounds by quantum arguments
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STACS
2009
Springer
14 years 3 months ago
Quantum Query Complexity of Multilinear Identity Testing
Motivated by the quantum algorithm for testing commutativity of black-box groups (Magniez and Nayak, 2007), we study the following problem: Given a black-box finite ring by an add...
Vikraman Arvind, Partha Mukhopadhyay
WDAG
2010
Springer
206views Algorithms» more  WDAG 2010»
13 years 7 months ago
Scalable Quantum Consensus for Crash Failures
We present a scalable quantum algorithm to solve binary consensus in a system of n crash-prone quantum processes. The algorithm works in O(polylog n) time sending O(n polylog n) qu...
Bogdan S. Chlebus, Dariusz R. Kowalski, Michal Str...
CRYPTO
2007
Springer
109views Cryptology» more  CRYPTO 2007»
14 years 2 months ago
A Tight High-Order Entropic Quantum Uncertainty Relation with Applications
We derive a new entropic quantum uncertainty relation involving min-entropy. The relation is tight and can be applied in various quantum-cryptographic settings. Protocols for quant...
Ivan Damgård, Serge Fehr, Renato Renner, Lou...
COCOON
2008
Springer
13 years 10 months ago
Multi-party Quantum Communication Complexity with Routed Messages
This paper describes a general quantum lower bounding technique for the communication complexity of a function that depends on the inputs given to two parties connected via paths,...
Seiichiro Tani, Masaki Nakanishi, Shigeru Yamashit...
DATE
2004
IEEE
144views Hardware» more  DATE 2004»
14 years 9 days ago
Smaller Two-Qubit Circuits for Quantum Communication and Computation
We show how to implement an arbitrary two-qubit unitary operation using any of several quantum gate libraries with small a priori upper bounds on gate counts. In analogy to librar...
Vivek V. Shende, Igor L. Markov, Stephen S. Bulloc...