Quantum gates are the fundamental building blocks of quantum circuits, manipulating qubits through unitary transformations to perform quantum computations. Unlike classical logic gates, quantum gates can create superpositions and entanglements, enabling the execution of complex algorithms with potentially exponential speed-ups over classical counterparts.

Quantum Gates

Quantum gates

fundamental building blocks

Quantum circuits are the foundational model for quantum computation, representing sequences of quantum gates applied to qubits to perform quantum algorithms. They leverage quantum phenomena like superposition and entanglement to solve problems more efficiently than classical circuits in certain cases.

quantum circuits

manipulating qubits

Unitary transformations are linear transformations in quantum mechanics that preserve the inner product, ensuring that probabilities remain consistent. They are represented by unitary matrices, which are crucial for describing the evolution of quantum states in a reversible manner.

unitary transformations

quantum computations

classical logic gates

superpositions

entanglements

complex algorithms

exponential speed-ups

classical counterparts

Introduction to Automata Theory and Quantum Computation

Quantum Superposition

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Quantum Superposition and Entanglement

Relevant Degrees

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