Compressed Oracle Duality Framework for Quantum Adversaries
Original title: Compressed Oracle Duality: A simple framework for knowing what quantum adversaries know
New isometry-based framework extends Compressed Oracle method for space-bounded quantum adversaries.
The paper introduces Compressed Oracle Duality, which applies an isometry to the memory of a quantum adversary. This produces a pair of compressed oracles with matching marginal distributions and classical correlations. The framework characterizes retained knowledge by the adversary and simplifies proofs for quantum time-space tradeoffs in collision search.
- Isometry on adversary memory creates matching compressed oracles
- Measurement outcome equals pretty-good measurement
- Simplifies T^2S = Ω(N log N) tradeoff proof
- Stronger classical TS = Ω(N log N) tradeoff
- No representation theory required
From the original article
1 min read at arxiv.orgGiven a quantum adversary that queries a random oracle, how do we characterize the information that they "know"? The Compressed Oracle method of Zhandry (CRYPTO 2019) is one method that records the queries that the adversary makes; this recording serves as a representation of the information that is learned.
By Matthew Ding · arxiv.org
A short excerpt; the article and its images belong to the publisher. Summary, key facts and assessment above are AI-written from the article and can be wrong.