Now showing items 21-26 of 26

    • Quantum Lower Bound for Inverting a Permutation with Advice 

      Nayebi, Aran; Aaronson, Scott; Belovs, Aleksandrs; Trevisan, Luca (Rinton Press, 2015-09)
      Given a random permutation f : [N] → [N] as a black box and y ∈ [N], we want to output x = f[superscript −1](y). Supplementary to our input, we are given classical advice in the form of a pre-computed data structure; this ...
    • Quantum Money from Hidden Subspaces 

      Aaronson, Scott; Christiano, Paul F. (Association for Computing Machinery, sponsored by the ACM Special Interest Group on Algorithms and Computation Theory, 2012-05)
      Forty years ago, Wiesner pointed out that quantum mechanics raises the striking possibility of money that cannot be counterfeited according to the laws of physics. We propose the first quantum money scheme that is (1) ...
    • Quantum partially observable Markov decision processes 

      Barry, Jennifer; Barry, Daniel T.; Aaronson, Scott (American Physical Society, 2014-09)
      We present quantum observable Markov decision processes (QOMDPs), the quantum analogs of partially observable Markov decision processes (POMDPs). In a QOMDP, an agent is acting in a world where the state is represented as ...
    • Sophistication as Randomness Deficiency (chapter) 

      Mota, Francisco; Aaronson, Scott; Antunes, Luís; Souto, André (Springer-Verlag Berlin Heidelberg, 2013)
      The sophistication of a string measures how much structural information it contains. We introduce naive sophistication, a variant of sophistication based on randomness deficiency. Naive sophistication measures the minimum ...
    • Weak Parity 

      Aaronson, Scott; Ambainis, Andris; Balodis, Kaspars; Bavarian, Mohammad (Springer-Verlag, 2014)
      We study the query complexity of Weak Parity: the problem of computing the parity of an n-bit input string, where one only has to succeed on a 1/2 + ε fraction of input strings, but must do so with high probability on those ...
    • ψ-epistemic theories: The role of symmetry 

      Aaronson, Scott; Chua, Lynn; Lowther, George; Bouland, Adam Michael (American Physical Society, 2013-09)
      Formalizing an old desire of Einstein, “ψ-epistemic theories” try to reproduce the predictions of quantum mechanics, while viewing quantum states as ordinary probability distributions over underlying objects called “ontic ...