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Quantum Parallelism

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Quantum Entanglement

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Entanglement is a quantum phenomenon where qubits become interconnected such that the state of one qubit can instantaneously affect the state of another, no matter the distance apart.

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Quantum Bit (Qubit)

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A qubit is the fundamental unit of quantum information, analogous to a bit in classical computing. It can exist in a superposition of 0 and 1, allowing for parallel operations.

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Quantum Algorithm

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A quantum algorithm is a step-by-step procedure, designed for execution on a quantum computer, that leverages phenomena like superposition and entanglement to solve problems more efficiently than classical algorithms.

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Superposition

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Superposition is a key quantum concept where a quantum system can be in multiple states at once. This is leveraged in quantum parallelism to perform many calculations simultaneously.

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Quantum Interference

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Quantum interference is the phenomenon where the probability amplitude waves of qubits combine, which can be used to amplify correct paths and cancel out incorrect ones in quantum algorithms.

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Quantum Gate

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A quantum gate manipulates qubits and functions as the quantum equivalent of classic logic gates. Quantum gates are reversible and can operate on superpositions to execute parallel operations on qubits.

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Grover's Algorithm

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Grover's Algorithm is designed for searching unsorted databases. It shows a quadratic speedup over classical search algorithms by using quantum parallelism to evaluate multiple entries simultaneously.

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Quantum Decoherence

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Quantum decoherence is the process by which quantum systems lose their quantum properties, particularly superposition, due to interaction with the environment, posing a challenge for maintaining parallelism in quantum computers.

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Deutsch’s Algorithm

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Deutsch’s Algorithm is the first example of a quantum algorithm that is exponentially faster than any deterministic classical algorithm, demonstrating the potential of quantum parallelism for specific computational tasks.

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Quantum Circuit Model

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The quantum circuit model is a conceptual model for quantum computations where qubits are manipulated using quantum gates. It uses the principles of superposition and entanglement for parallel processing capabilities.

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No-Cloning Theorem

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The no-cloning theorem states that it is impossible to create an identical copy of an arbitrary unknown quantum state. This limitation is fundamental to quantum computing and affects how quantum parallelism can be exploited.

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Shor's Algorithm

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Shor's Algorithm is a quantum algorithm for integer factorization. It's exponentially faster than the best-known classical algorithms, highlighting the potential of quantum parallelism in breaking encryption schemes such as RSA.

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Quantum Error Correction

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Quantum error correction is a set of methods designed to protect quantum information from errors due to decoherence and other quantum noise, which is vital for maintaining quantum parallelism over time.

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Quantum Supremacy

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Quantum supremacy is the potential ability of quantum computing devices to solve problems that classical computers cannot solve in a reasonable amount of time, leveraging the concept of quantum parallelism.

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Quantum Speedup

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Quantum speedup refers to the improvement in computational speed provided by quantum computing compared to classical computing, exploiting quantum parallelism to solve certain problems more efficiently.

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