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The term "quantum array" does not have a specific definition or standard usage in mathematics or quantum computing. It is not a widely recognized or established term in the field. It's possible that the term "quantum array" could be used to refer to an array or collection of quantum states or qubits, but without further context or clarification, it is difficult to provide a specific meaning or application.

In the context of quantum computing, arrays or collections of quantum states are often referred to as quantum registers or quantum state vectors. These registers can represent the state of a quantum system or store quantum information. They are fundamental components in quantum algorithms and quantum computations.

As for real-world applications, quantum computing is still an emerging field, and practical applications are in the early stages of development. While quantum computing shows promise in various areas, such as cryptography, optimization, and simulation of quantum systems, it is still an active area of research, and many challenges need to be addressed before widespread practical applications become a reality.

It's important to note that the field of quantum computing is evolving rapidly, and new developments may occur that could potentially introduce new concepts or terminologies. Therefore, it's always beneficial to consult the most up-to-date research and literature for the latest understanding of quantum computing concepts and applications.

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