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Quantum Computing Concepts
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Quantum Fourier transform (QFT)
The quantum analogue of the discrete Fourier transform, a part of many quantum algorithms.
Grover's algorithm
A quantum algorithm providing quadratic speedup for unstructured search problems.
Quantum entanglement
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.
Quantum-resistant cryptography
Cryptography methods designed to be secure against the potential threat posed by quantum computers.
Quantum algorithm
A step-by-step procedure, based on quantum mechanics principles, used for solving a problem on a quantum computer.
No-cloning theorem
A theorem stating that it's impossible to create an identical copy of an arbitrary unknown quantum state.
Quantum key distribution (QKD)
A secure communication method that uses quantum mechanics to encrypt and decrypt messages.
Quantum circuit
A model for quantum computation representing a sequence of quantum gates and measurements applied to qubits.
Bell state
A specific quantum state of two qubits that are maximally entangled.
Quantum supremacy
The point at which quantum computers perform computations that are unfeasible for classical computers in a reasonable time frame.
Quantum teleportation
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.
Adiabatic quantum computation
A model of computation that operates by slowly varying the Hamiltonian of the quantum system.
Entanglement
A quantum phenomenon where particles become interconnected and the state of one immediately influences the state of another, regardless of distance.
Quantum state
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
Quantum decoherence
The process by which a quantum system loses its quantum properties due to interaction with an external environment, resulting in a classical state.
Quantum volume
A performance metric for quantum computers that measures the size and quality of entangled qubit states they can maintain.
Superposition
A quantum property allowing a particle to be in a combination of all possible states simultaneously.
Quantum error correction
A set of methods to protect quantum information against decoherence and other quantum noise.
Quantum gate
A fundamental operation on qubits that changes their state and is the quantum equivalent of a classical logic gate.
Deutsch's algorithm
The first quantum algorithm that illustrates quantum computing's speed advantage for certain problems over classical methods.
Quantum annealing
A method used to find the global minimum of a function by exploiting quantum tunneling.
Bloch sphere
A geometrical representation of the pure state space of a two-level quantum mechanical system (qubit).
Quantum tunneling
A quantum phenomenon where particles can cross barriers higher than their kinetic energy, impossible in classical physics.
Hadamard gate
A one-qubit quantum gate that transforms a qubit into an equal superposition of two states, if it starts from a basis state.
Qubit
The basic unit of quantum information, representing a two-state quantum-mechanical system.
Quantum simulation
Using a quantum computer to simulate complex quantum systems that are intractable for classical computers.
Topological quantum computer
A theoretical quantum computer that uses topological states of matter to preserve quantum coherence and perform quantum computations.
Quantum coherence
The ability of a quantum system to retain the phase relationships between its states, a crucial aspect for quantum computing.
Shor's algorithm
A quantum algorithm for integer factorization exponentially faster than the best-known classical algorithm.
Quantum machine learning
An emerging field that combines machine learning and quantum computing to potentially solve complex problems more efficiently.
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