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Quantum Coherence Principles

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Quantum Superposition

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Quantum superposition is the phenomenon where a quantum system can be in multiple states at once. The coherent addition of the wave functions represents the superposed state. It underpins quantum computing processes like quantum parallelism.

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Quantum Coherence

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Quantum coherence refers to the property of quantum systems where particles exhibit wave-like interference due to phase relationships between quantum states. It's essential for phenomena like superposition and entanglement, and is necessary for quantum computing and quantum cryptography.

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Quantum Entanglement

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Quantum entanglement 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, even when separated by large distances. Coherence is crucial for maintaining these correlations.

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Coherence Length

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Coherence length is the distance over which a coherent wave maintains a specified degree of coherence. In optics, it's the length over which the electromagnetic field correlation function is nearly constant. It's a limiting factor for interference and quantum communication distance.

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Quantum Interference

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Quantum interference is the phenomenon where the probability amplitude waves of a quantum system are combined, leading to a pattern of constructive and destructive interference. It is the core principle behind the double-slit experiment, demonstrating the wave-particle duality.

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Quantum Beat

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Quantum beat is a phenomenon that occurs when two or more eigenstates of a quantum system have similar energies and interfere with each other, leading to oscillations in the probability of finding the system in a given state. It reflects the coherence properties of the system.

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Decoherence

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Decoherence is the process by which quantum systems interact with their environment in a thermodynamically irreversible way, leading to the loss of quantum coherence. Decoherence is a major challenge in building reliable quantum computers as it destroys superpositions.

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Schrödinger Cat State

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The Schrödinger Cat State is a thought experiment exploring the concept of superposition applied to macroscopic objects. It refers to a hypothetical situation where a cat in a sealed box could be simultaneously alive and dead until an observation is made, illustrating quantum mechanics' effect on reality.

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Phase Coherence

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Phase coherence refers to preserving the fixed phase relationship between different quantum states. It is vital for quantum interference and, consequently, for the operation of quantum systems, such as SQUIDs (Superconducting Quantum Interference Devices) used in quantum sensing.

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Coherent State

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A coherent state refers to a specific type of quantum state that is as close as possible to a classical state. It is mathematically represented as an eigenstate of the annihilation operator a^\hat{a}. These states are significant in quantum optics for modeling laser beams.

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