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

In summary, a quantum circuit is a computational model used to represent and manipulate quantum information, consisting of quantum gates and qubits. It is evaluated by applying gates to qubits in a specific order and is important for developing and testing quantum algorithms. Some challenges in evaluating quantum circuits include managing errors and optimizing circuit design. Common applications of quantum circuits include quantum cryptography, simulation, and machine learning.
  • #1
Frank Schroer
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media%2F2ab%2F2ab89ceb-aac2-45df-ace9-69269c9518a1%2FphpMYezUz.png

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

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

1. What is a quantum circuit?

A quantum circuit is a computational model used in quantum computing to represent and manipulate quantum information. It is composed of quantum gates, which are the basic building blocks of quantum algorithms.

2. How do you evaluate a quantum circuit?

Evaluating a quantum circuit involves simulating its behavior on a classical computer or running it on a quantum computer. This allows for the measurement of the quantum states and the observation of the output of the circuit.

3. What is the purpose of evaluating a quantum circuit?

Evaluating a quantum circuit allows for the verification and optimization of quantum algorithms. It also helps in understanding the behavior of quantum systems and can aid in the development of new quantum computing technologies.

4. What are some challenges in evaluating quantum circuits?

One of the main challenges in evaluating quantum circuits is the presence of quantum noise and errors, which can affect the accuracy of the results. Another challenge is the complexity of simulating or running quantum circuits, as they can involve a large number of qubits and gates.

5. How does the evaluation of quantum circuits differ from classical circuits?

The evaluation of quantum circuits differs from classical circuits in terms of the underlying principles and operations. While classical circuits use classical bits to represent information, quantum circuits use quantum bits (qubits) which can exist in multiple states simultaneously. This allows for the potential of exponentially faster computing and the ability to solve certain problems that are intractable for classical computers.

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