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        <description>Simons Institute for the Theory of Computing

Welcome to the wiki for the Simons Institute for the Theory of Computing

Fall 2024

	*   Modern Paradigms in Generalization

Fall 2023

	*   Logic and Algorithms in Database Theory and AI

Spring 2023

	*  Meta-Complexity

Summer 2022

	*  Summer Cluster: Lattices and Beyond

Fall 2021

	*  Geometric Methods in Optimization and Sampling

Fall 2020

	*  Probability, Geometry, and Computation in High Dimensions
	*  Theory of Reinforcement Learning

Fa…</description>
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        <description>List of open problems

For instructions on how to submit your open problem, see Submission Instructions.

	*  See also the [PDF version] of the list of open problems.

NP-Hardness of Meta-Complexity of Average-Case Complexity

Submitted by Hanlin Ren on 28/January/2023.

Description. Many meta-complexity problems are known to be $\mathsf{NP}$$\mathsf{NP}$$\mathsf{NP}$$\mathsf{NP}$$\sf DNF$$\rm MCSP$$\mathsf{NP}$$f:\{0, 1\}^n \to \{0, 1\}$$s$$s$$f$$s$$F$$\Pr_{x\gets \{0, 1\}^n}[F(x) = f(x)] \le 0…</description>
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        <title>definitions - [Quantum crypto primitives] </title>
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        <description>Definitions

Here we will collect the definitions of cryptographic primitives, complexity classes and anything else for easy access.

Quantum crypto primitives

OWSG

Definition. One-way quantum state generators.Section 4 of MY22

Let $G$ be a QPT algorithm that, on input $k \in \{0, 1\}^n$$\left|\phi_k\right&gt;$$\textsf{Exp}$$\mathcal{C}$$\mathcal{A}$$\mathcal{C}$$k \leftarrow \{0, 1\}^n$$\mathcal{C}$$\left|\phi_k\right&gt; \leftarrow G(k)$$t+1$$\mathcal{C}$$\left|\phi_k\right&gt;^{\otimes t}$$\mathcal…</description>
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Goals

	*  Learn more about quantum meta-complexity and its connections to quantum cryptography and quantum learning
	*  Produce a survey paper that organizes the world of meta-complexity and what we know about it
	*  Resolve open problems along the way</description>
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