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Quantum Computing Concepts

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Qubit

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The basic unit of quantum information, representing a two-state quantum-mechanical system.

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Superposition

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A quantum property allowing a particle to be in a combination of all possible states simultaneously.

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Entanglement

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A quantum phenomenon where particles become interconnected and the state of one immediately influences the state of another, regardless of distance.

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Quantum gate

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A fundamental operation on qubits that changes their state and is the quantum equivalent of a classical logic gate.

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Quantum circuit

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A model for quantum computation representing a sequence of quantum gates and measurements applied to qubits.

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Quantum entanglement

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A physical phenomenon that occurs when pairs or groups of particles interact in ways such that the quantum state of each particle cannot be described independently of the others.

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Quantum decoherence

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The process by which a quantum system loses its quantum properties due to interaction with an external environment, resulting in a classical state.

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Quantum tunneling

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A quantum phenomenon where particles can cross barriers higher than their kinetic energy, impossible in classical physics.

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Bell state

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A specific quantum state of two qubits that are maximally entangled.

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No-cloning theorem

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A theorem stating that it's impossible to create an identical copy of an arbitrary unknown quantum state.

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Quantum coherence

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The ability of a quantum system to retain the phase relationships between its states, a crucial aspect for quantum computing.

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Quantum error correction

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A set of methods to protect quantum information against decoherence and other quantum noise.

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Deutsch's algorithm

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The first quantum algorithm that illustrates quantum computing's speed advantage for certain problems over classical methods.

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Shor's algorithm

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A quantum algorithm for integer factorization exponentially faster than the best-known classical algorithm.

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Grover's algorithm

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A quantum algorithm providing quadratic speedup for unstructured search problems.

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Quantum simulation

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Using a quantum computer to simulate complex quantum systems that are intractable for classical computers.

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Quantum annealing

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A method used to find the global minimum of a function by exploiting quantum tunneling.

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Adiabatic quantum computation

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A model of computation that operates by slowly varying the Hamiltonian of the quantum system.

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Topological quantum computer

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A theoretical quantum computer that uses topological states of matter to preserve quantum coherence and perform quantum computations.

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Quantum supremacy

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The point at which quantum computers perform computations that are unfeasible for classical computers in a reasonable time frame.

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Quantum key distribution (QKD)

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A secure communication method that uses quantum mechanics to encrypt and decrypt messages.

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Quantum teleportation

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A process by which the quantum state of a particle is transmitted exactly from one location to another with the help of classical communication and a previously shared quantum entanglement.

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Quantum volume

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A performance metric for quantum computers that measures the size and quality of entangled qubit states they can maintain.

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Quantum Fourier transform (QFT)

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The quantum analogue of the discrete Fourier transform, a part of many quantum algorithms.

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Quantum machine learning

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An emerging field that combines machine learning and quantum computing to potentially solve complex problems more efficiently.

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Quantum-resistant cryptography

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Cryptography methods designed to be secure against the potential threat posed by quantum computers.

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Quantum algorithm

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A step-by-step procedure, based on quantum mechanics principles, used for solving a problem on a quantum computer.

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Bloch sphere

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A geometrical representation of the pure state space of a two-level quantum mechanical system (qubit).

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Quantum state

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A mathematical entity that provides a probability distribution for the outcomes of each possible measurement on a system, described by a vector in a Hilbert space

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Hadamard gate

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A one-qubit quantum gate that transforms a qubit into an equal superposition of two states, if it starts from a basis state.

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