Engineering What Is the Correct Probability Calculation for a Quantum Circuit Measurement?

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The discussion focuses on calculating the probabilities of measuring outcomes 0 and 1 for a specific quantum circuit input state, |1>(tensorproduct)(2|0>+|1>). A participant reports obtaining a probability of 2 for outcome 0, which is incorrect since probabilities must range from 0 to 1. The issue arises from the input state not being normalized, which is essential for accurate probability calculations. The correct approach involves ensuring the state is normalized before applying the probability formula ||^2. Proper normalization is crucial for obtaining valid probability results in quantum measurements.
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Homework Statement


input state is |1>(tensorproduct)(2|0>+|1>).

Homework Equations


Find the probability of the outcomes being 0 and 1 measuring the second qubit. And then what the outcome states of each are.

The Attempt at a Solution


I have attempted this problem and for the probability of 0 I am getting 2. This doesn't make sense because it should be a probability. I am using the formula |<psi|0>|^2 in order to calculate the probability. [/B]
 

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Frank Schroer said:
input state is |1>(tensorproduct)(2|0>+|1>).
That state is not normalised.
 

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