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Entanglement is a fundamental concept in quantum mechanics and plays a crucial role in the field of quantum computing. Entangled qubits are quantum bits that are correlated in such a way that the state of one qubit is intrinsically connected to the state of another, regardless of the distance between them. The advantage of entangled qubits compared to non-entangled ones in quantum computers lies in their ability to exhibit unique properties that enable more powerful computation and communication capabilities. Here are some advantages of entangled qubits:

  1. Increased computational power: Entanglement allows quantum computers to perform certain calculations more efficiently than classical computers. Quantum algorithms, such as Shor's algorithm for factoring large numbers, and Grover's algorithm for searching an unsorted database, exploit the power of entanglement to achieve exponential speedup over classical counterparts.

  2. Enhanced parallelism: Entanglement enables quantum computers to perform computations in parallel across multiple qubits. Through a phenomenon called quantum superposition, qubits can exist in a superposition of multiple states simultaneously, exponentially increasing the computational possibilities. Entanglement allows these superpositions to be shared among qubits, facilitating complex parallel computations.

  3. Quantum error correction: Entanglement plays a critical role in quantum error correction, which is crucial for maintaining the integrity of quantum computations. Quantum systems are susceptible to noise and decoherence, leading to errors. However, by encoding quantum information in entangled states across multiple qubits, it becomes possible to detect and correct errors, preserving the integrity of the computation.

  4. Secure quantum communication: Entanglement is used in quantum key distribution (QKD), a method for secure communication. When two entangled qubits are shared between two parties, any attempt to eavesdrop or intercept the communication will disrupt the entanglement, thereby alerting the communicating parties to the presence of an intruder. This property of entanglement allows for the creation of secure cryptographic keys.

  5. Fundamental tests of quantum mechanics: Entanglement is a profound aspect of quantum mechanics and has been experimentally verified through various tests, including Bell's inequality. By studying entangled systems, researchers gain insights into the nature of quantum mechanics and its departure from classical physics. These experiments help validate the fundamental principles of quantum theory.

It's important to note that while entanglement provides significant advantages, it also introduces challenges in terms of maintaining and manipulating entangled states due to their fragility and sensitivity to environmental factors. Nonetheless, entanglement remains a key resource in quantum computing and underpins many of its promising applications.

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