Basic Quantum Theory

This chapter is from the book

Quantum Computing Fundamentals

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This chapter is from the book

This chapter is from the book 

Quantum Computing Fundamentals

Learn More Buy

Test Your Skills

Review Questions

1. Why does the reduced Planck constant use 2 π?

   1. 2 π denotes the radius of the atom.

   2. 2 π is 360 degrees in radians.

   3. 2 π accounts for quantum fluctuations.

   4. 2 π is a derivative of Einstein’s universal constant.

2. In quantum mechanics, what does the Greek letter psi represent?

   1. The Hamiltonian

   2. The reduced Planck constant

   3. The wave function

   4. Superposition of states

3. What would be most helpful in determining the probability of finding a particle at a given point?

   1. Born’s rule

   2. Hamiltonian

   3. Reduced Planck constant

   4. Wave function

4. Which of the following is the most accurate description of the wave function collapse?

   1. The various possible quantum states coalesce into a single quantum state.

   2. The probabilities coalesce to a single actuality based on an observer.

   3. The bra-ket 〈φ_i|φ_j 〉 forms an orthonormal eigenvector basis.

   4. The superposition of possible eigenstates collapses to a single eigenstate based on interaction with the environment.

5. When using the Kronecker delta and inputting two eigenstates that are the same, what will be the output?

   1. The sum of the eigenstates

   2. 1

   3. The superposition of the eigenstates

   4. 0

6. Schrödinger’s equation is used to describe what?

   1. Superposition of eigenstates

   2. Eigenstates

   3. The wave function

   4. The Hamiltonian operator

7. What equation is most closely related to the decoupling that occurs during decoherence?

   1. Hamiltonian

   2. Schrödinger equation

   3. Wigner function

   4. Klein-Gordon

8. Which of the following is a wave function related to quantum electrodynamics that describes the motion for the field as it varies in time and space?

   1. Hamiltonian

   2. Schrödinger equation

   3. Wigner function

   4. Klein-Gordon

9. What is a bispinor?

   1. A 4 × 4 matrix with complex components

   2. Superposition of two eigenstates

   3. The product of the Dirac equation

   4. The product of the Wigner function