Quiz 2 B 1

1. What is the criteria for a matrix to be Hermitian and Unitary, respectively?

• H=H^†

  UU^†=U^†U=I

• HH^†=H^†H=I

  U=U^†

• A=A^†

• None of the above

Which of the following is an example of two-qubit gate

• Controlled Not Gate

• Pauli X Gate

• Pauli Y Gate

• Pauli Z Gate

By default, quantum state in Qiskit is initiated in what state ?

• |0>

• |1>

• |+>

• |->

What is the role of the Hadamard gate in quantum computing?

• It prepares a qubit in a superposition state

• It applies a phase shift of π to the qubit state

• It measures the qubit in the X-basis

• It entangles the qubit with its neighboring qubit

Which one of the following is not a pair of orthonormal bases?

• |0>,|1>

• |+>,|->

• |+>,|+i>

• |+i>,|-i>

According to the postulate three of Quantum mechanics, an observable in quantum mechanics is defined by

• Unitary operator

• Hermitian operator

• Identity operator

• Null operator

What is significance of unitary operator in quantum computing?

• It preserves the norm of the quantum state

• Its helpful in understanding the observable

• It is considered for simplicity

• None of the above

How many pairs of Bell states are there

• 4

• 3

• 2

• 1

The statevector description of quantum state of multipartite system is given by

• Vector product

• Scalar product

• Outer product

• Tensor product

Which of these gates implements controlled bit flip action

• Hadamard

• Controlled Y gate

• Controlled X gate

• None of the above