Chapter

Understanding Quantum Computing with SCK
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1:30:10 - 1:38:55 (08:45)

The beauty of the fundamental class of statistical zero knowledge (SCK) is explained to understand quantum computing better. A quantum computation works as a branching tree of possibilities where each path has a complex number attached to it called amplitude, and SCK uses optimization problems to reveal the solution without exposing why it's true.

Clips
The concept of a quantum computation can be explained as a branching tree of possibilities where each possible path has a complex number called an amplitude assigned to it.
1:30:10 - 1:33:11 (03:00)
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Quantum Computing
Summary

The concept of a quantum computation can be explained as a branching tree of possibilities where each possible path has a complex number called an amplitude assigned to it. However, the techniques used to establish quantum computing break down when comparing different resources such as time versus space or P versus NP.

Chapter
Understanding Quantum Computing with SCK
Episode
#130 – Scott Aaronson: Computational Complexity and Consciousness
Podcast
Lex Fridman Podcast
The ability to simulate the probability of a particular output occurring, rather than writing down the entire exponentially large quantum state, would prove that quantum computers can be simulated by classical computers with exponentially more time.
1:33:11 - 1:36:21 (03:10)
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Quantum computation
Summary

The ability to simulate the probability of a particular output occurring, rather than writing down the entire exponentially large quantum state, would prove that quantum computers can be simulated by classical computers with exponentially more time.

Chapter
Understanding Quantum Computing with SCK
Episode
#130 – Scott Aaronson: Computational Complexity and Consciousness
Podcast
Lex Fridman Podcast
There is a class called Statistical Zero Knowledge (SCK) that is fundamental in the field of computer science but often overlooked.
1:36:21 - 1:38:55 (02:34)
listen on Spotify
Computer Science
Summary

There is a class called Statistical Zero Knowledge (SCK) that is fundamental in the field of computer science but often overlooked. SCK allows solutions to problems to be shared without revealing any information about how the solution was derived.

Chapter
Understanding Quantum Computing with SCK
Episode
#130 – Scott Aaronson: Computational Complexity and Consciousness
Podcast
Lex Fridman Podcast