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» Quantum lower bounds by quantum arguments
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STOC
2004
ACM
142views Algorithms» more  STOC 2004»
14 years 4 months ago
Lower bounds for local search by quantum arguments
The problem of finding a local minimum of a black-box function is central for understanding local search as well as quantum adiabatic algorithms. For functions on the Boolean hype...
Scott Aaronson
JACM
2006
146views more  JACM 2006»
13 years 4 months ago
Limits on the ability of quantum states to convey classical messages
We revisit the problem of conveying classical messages by transmitting quantum states, and derive new, optimal bounds on the number of quantum bits required for this task. Much of...
Ashwin Nayak, Julia Salzman
STOC
2000
ACM
97views Algorithms» more  STOC 2000»
13 years 9 months ago
Quantum lower bounds by quantum arguments
We propose a new method for proving lower bounds on quantum query algorithms. Instead of a classical adversary that runs the algorithm with one input and then modifies the input,...
Andris Ambainis
CORR
2010
Springer
108views Education» more  CORR 2010»
13 years 4 months ago
Inverting a permutation is as hard as unordered search
We describe a reduction from the problem of unordered search (with a unique solution) to the problem of inverting a permutation. Since there is a straightforward reduction in the ...
Ashwin Nayak