To manipulate the state of a quantum bit (qubit).

To perform classical computations on qubits.

To store quantum information.

To create entanglement between qubits.

Hadamard gate

CNOT gate

SWAP gate

All of the above

Creating superposition states.

Performing quantum teleportation.

Entangling qubits.

Measuring the state of a qubit.

Applying a controlled-NOT operation on two qubits.

Creating entanglement between two qubits.

Performing quantum Fourier transforms.

Measuring the state of two qubits.

Swapping the states of two qubits.

Creating entanglement between two qubits.

Performing quantum phase estimation.

Measuring the state of two qubits.

A sequence of quantum gates arranged in a specific order.

A physical implementation of a quantum computer.

A mathematical model for describing quantum computations.

A software program for simulating quantum circuits.

They define the sequence of operations to be performed on qubits.

They determine the physical layout of qubits in a quantum computer.

They provide a theoretical framework for understanding quantum algorithms.

They enable the efficient implementation of quantum algorithms.

As a sequence of quantum gates in a graphical format.

As a mathematical expression using quantum operators.

As a high-level programming language.

As a circuit diagram using symbols for quantum gates.

It allows for the superposition of quantum states.

It enables the entanglement of qubits.

It facilitates the creation of quantum algorithms.

It contributes to the speedup of quantum computations.

Quantum simulation of complex systems.

Quantum cryptography for secure communication.

Quantum machine learning for pattern recognition.

All of the above

Quantum gates are the building blocks of quantum circuits.

Quantum circuits are composed of a sequence of quantum gates.

Quantum gates and quantum circuits are equivalent representations of quantum computations.

Quantum gates can be used to construct quantum circuits, but not vice versa.

By providing a physical implementation of the algorithm.

By translating the algorithm into a sequence of quantum gates.

By simulating the behavior of the algorithm on a classical computer.

By compiling the algorithm into a machine-readable format.

To mitigate the effects of noise and errors in quantum systems.

To improve the accuracy of quantum computations.

To extend the coherence time of qubits.

To reduce the number of qubits required for a given computation.

Surface code.

Topological code.

Steane code.

All of the above

They provide a theoretical framework for designing quantum computers.

They enable the simulation of quantum systems on classical computers.

They guide the physical implementation of quantum computers.

All of the above