Extracting an answer from a quantum computer

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SUMMARY

This discussion focuses on the mechanics of extracting specific outputs from a quantum computer, particularly when multiplying two 3-qubit registers initialized in superposition. The output is indeed a superposition of all possible multiplication results, with probabilities assigned to each potential outcome. The user inquires about the feasibility of forcing the output to a specific value, such as 35, and whether it is possible to collapse the inputs to a superposition of 5 and 7. The consensus indicates that while quantum systems can be manipulated, directly forcing a specific outcome post-measurement is not straightforward and requires advanced techniques.

PREREQUISITES
  • Understanding of quantum computing principles, particularly superposition and entanglement.
  • Familiarity with qubit operations and quantum gates.
  • Knowledge of quantum algorithms, especially those related to multiplication and factorization.
  • Experience with quantum programming languages, such as Qiskit or Cirq.
NEXT STEPS
  • Research quantum algorithms for factoring, such as Shor's algorithm.
  • Explore the use of quantum gates to manipulate qubit states effectively.
  • Learn about quantum measurement techniques and their implications on state collapse.
  • Investigate the role of quantum error correction in achieving desired outputs.
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Quantum computing enthusiasts, researchers in quantum algorithms, and developers working on quantum programming who seek to understand output manipulation in quantum systems.

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Suppose you have a quantum apparatus that takes two 3-qubit registers as input, multiplies them, and produces output in a 6-qubit register. If the inputs are initialized as a superposition with equal probability of being each number 000 to 111, then the output will be the superposition of all possible results of the multiplication, right?

Then the output has, for example, a 15/64 chance of being 0, 4/64 of being 12, and 0/64 of being 19, etc., right?

Is there any way to force the output to a specific value, say 35, thereby making each input collapse to a superposition of 5 and 7; then, after measuring them, you find one to be 5 and the other to be 7, effectively having factored 35?

If you CAN extract the desired output, thereby discovering the inputs that yield it, HOW do you do it?
 
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I don't know if one can 'force' a quantum system to a desired outcome after measurement.
 

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