For thousands of years, human beings have been thinking in their brains.
Language can be stored on paper—this process is known as writing. Writing means you can construct ideas by assembling words together. A word is a code associated with a projection in the real world. In this sense, an idea is a group of words linked together by explanations. Not understanding an idea means having words put together without understanding their relation to one another.
The human reasoning state will be written as:
|I₀⟩ = [1, 0]
The artificial reasoning state will be written as:
|I₁⟩ = [0, 1]
For thousands of years, we’ve been reasoning in the state |I₀⟩ = [1, 0].
When a brain thinks (electrical signals), it converts thoughts into language, then writes them down (using a keyboard). These words are tokenized to be processed by a computer. The chatbot then develops the thought state (using a specific prompt acting like a Hadamard gate), transforming |I₀⟩ (the human reasoning state) into a linear combination of human reasoning and artificial reasoning:
a|I₀⟩ + b|I₁⟩
The chatbot then converts this tokenized linear combination back into words that a human can process.
Viewed this way, the process closely resembles a Hadamard gate in quantum computing.
Example of a prompt that develops the thought:
"Write an irrefutable argument based on my text. Structure it using logical steps—premises, conclusion, and induction—to form a valid argument. Give the idea irrefutability. Let's call what you've just done an expansion of my thoughts through logical reasoning, similar to how a Hadamard gate expands a qubit into a linear combination. You developed my idea based on a simple text. Now, using this structured idea, reinject this reasoning into my initial text while preserving the thoughts, enhancing my reasoning capacity."