Library of Babel quantum state

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Discussion Overview

The discussion centers around the feasibility of representing the Library of Babel, which contains 10^(2,000,000) books, as a quantum state using a quantum computer. Participants explore the implications of quantum computing in relation to information storage and retrieval, comparing it to classical methods.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested

Main Points Raised

  • One participant suggests that it may be possible to create a quantum state representing the Library of Babel, contrasting it with classical methods which they believe are impossible.
  • Another participant proposes converting the library's contents to binary and then to a number between zero and one, indicating a potential method for representation.
  • A repeated suggestion emphasizes the binary conversion approach and mentions the idea of building a physical structure to represent the library's size.
  • Further elaboration on the binary conversion includes calculating the number of bits corresponding to the library's size and assessing the feasibility of representation with a quantum computer.
  • One participant argues that quantum computers are not well-suited for storing information, noting that the number of qubits required would equal the number of non-quantum bits, and highlights issues with qubit coherence and retrieval limitations.
  • This participant also mentions quantum error correction as a means to improve retention time, but notes it would require additional qubits, complicating the storage of information.
  • They clarify that while quantum entanglement is often thought to allow for efficient information storage, the output is limited to the number of qubits available.

Areas of Agreement / Disagreement

Participants express differing views on the feasibility of representing the Library of Babel with a quantum state. While some explore theoretical methods, others raise significant concerns about the limitations of quantum computing for this purpose. The discussion remains unresolved with multiple competing perspectives.

Contextual Notes

Participants highlight limitations related to qubit coherence, the nature of quantum information storage, and the implications of quantum error correction, which remain unresolved in the discussion.

Juanchotutata
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Hello!

If the Library of Babel has 10^(2,000,000) books, does anyone think that it is possible to create a quantum state (with a quantum computer) that represents this Library? I think that in a classical way it is impossible, but in a quantum way?

I find it quite interesting! What about you? :)
 
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You could convert everything to binary, then convert the binary to a number between zero and one, and then mark a stick at that length. Problem solved.
 
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Vanadium 50 said:
You could convert everything to binary, then convert the binary to a number between zero and one, and then mark a stick at that length. Problem solved.
Or you could just build a tower that high.
 
Vanadium 50 said:
You could convert everything to binary, then convert the binary to a number between zero and one, and then mark a stick at that length. Problem solved.
I was thinking about calculating the number of bits which would correspond to 10^(2,000,000) books and see if it is possible to represent it with a quantum computer.
 
Juanchotutata said:
I was thinking about calculating the number of bits which would correspond to 10^(2,000,000) books and see if it is possible to represent it with a quantum computer.
Quantum computers are not well-suited to storing information. It takes as many qubits to store your library of Babel as non-quantum bits. Another serious drawback to the idea is that qubits don't stay coherent very long, and the information you stored would only be retrievable for a very short time even with best current technology. You could improve the retention time with quantum error correction, which would require even more qubits. I think you are expecting that quantum entanglement would allow you to store and retrieve a lot of information with a small number of qubits. Unfortunately, it doesn't work that way. The number of bits of information a quantum computer can output is limited to the number of its component qubits. So even if you could store 2n bits of information in n qubits, you would only be able to get n bits back out, leaving you with a sort of write-only memory.
 
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