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Quantum bits, or qubits, are the basic units of information in quantum computing and quantum information theory. While classical computers use bits that can represent either a 0 or a 1, qubits can exist in a superposition of both states simultaneously. This property of superposition is one of the key aspects that make quantum computing powerful and different from classical computing.

In classical computing, a bit can be in one of two states: 0 or 1. It's like a light switch that can be either on or off. In contrast, a qubit can represent both 0 and 1 simultaneously due to the principles of quantum mechanics. This is analogous to a light switch being in a superposition of being both on and off at the same time. Mathematically, the superposition of a qubit can be represented by a combination of the 0 state and the 1 state, with coefficients indicating the probability of each state.

Another important property of qubits is entanglement. Entanglement is a phenomenon where two or more qubits become correlated in such a way that the state of one qubit is inseparably connected to the state of the others. This correlation exists even if the qubits are physically far apart. This property enables qubits to exhibit strong correlations and allows for the potential of performing certain computational tasks more efficiently than classical computers.

The manipulation and measurement of qubits are done using various quantum gates and operations, which are analogous to logical operations in classical computing. These operations can transform the state of qubits, create entanglement between them, or extract information from them. By performing a sequence of well-designed quantum operations on a set of qubits, quantum algorithms can harness the power of superposition and entanglement to solve specific problems more efficiently than classical algorithms.

It's worth noting that qubits are highly delicate and prone to environmental disturbances, which can cause a phenomenon called decoherence. Decoherence arises from interactions with the surrounding environment and leads to the loss of quantum properties, making the qubits behave more like classical bits. Managing and mitigating decoherence is a significant challenge in quantum computing research.

Overall, qubits are the fundamental building blocks of quantum information processing and exhibit unique quantum properties such as superposition and entanglement, which enable the potential for exponentially faster computation and novel applications in areas like cryptography, optimization, and simulations.

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