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127
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CORR
2011
Springer
161views Education» more  CORR 2011»
14 years 7 months ago
The physical Church-Turing thesis and the principles of quantum theory
Abstract. Notoriously, quantum computation shatters complexity theory, but is innocuous to computability theory [17]. Yet several works have shown how quantum theory as it stands c...
Pablo Arrighi, Gilles Dowek
107
Voted
ICALP
2001
Springer
15 years 5 months ago
Quantum Complexities of Ordered Searching, Sorting, and Element Distinctness
We consider the quantum complexities of the following three problems: searching an ordered list, sorting an un-ordered list, and deciding whether the numbers in a list are all dis...
Peter Høyer, Jan Neerbek, Yaoyun Shi
95
Voted
TCS
2002
15 years 7 days ago
Complexity measures and decision tree complexity: a survey
We discuss several complexity measures for Boolean functions: certi cate complexity, sensitivity, block sensitivity, and the degree of a representing or approximating polynomial. ...
Harry Buhrman, Ronald de Wolf
COCO
2005
Springer
110views Algorithms» more  COCO 2005»
15 years 6 months ago
Prior Entanglement, Message Compression and Privacy in Quantum Communication
Consider a two-party quantum communication protocol for computing some function f : {0, 1}n × {0, 1}n → Z. We show that the first message of P can be compressed to O(k) classi...
Rahul Jain, Jaikumar Radhakrishnan, Pranab Sen
STOC
2004
ACM
152views Algorithms» more  STOC 2004»
16 years 27 days ago
Exponential separation of quantum and classical one-way communication complexity
Abstract. We give the first exponential separation between quantum and bounded-error randomized one-way communication complexity. Specifically, we define the Hidden Matching Proble...
Ziv Bar-Yossef, T. S. Jayram, Iordanis Kerenidis