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Before the advent of practical quantum computers, the concept of quantum computing was primarily theoretical. Researchers and scientists developed the principles and mathematical frameworks that form the basis of quantum computing. These theoretical models provided insights into how quantum computers could potentially operate and solve complex problems more efficiently than classical computers.

The foundation of quantum computing lies in quantum mechanics, a branch of physics that describes the behavior of matter and energy at the atomic and subatomic levels. Quantum mechanics introduces the concept of quantum bits, or qubits, which are the fundamental units of information in a quantum computer.

While classical computers store information in bits that can represent either a 0 or a 1, qubits can exist in a superposition of both 0 and 1 simultaneously, thanks to a property known as superposition. This unique characteristic of qubits allows quantum computers to perform certain calculations in parallel, potentially leading to exponential speedup in specific computational tasks.

Theoretical researchers developed various quantum algorithms, such as Shor's algorithm for factoring large numbers and Grover's algorithm for searching unsorted databases, which demonstrated the potential advantages of quantum computing over classical computing.

Moreover, scientists explored different physical systems that could serve as qubits, including atoms, ions, photons, and superconducting circuits, among others. These systems were studied in laboratories, and researchers conducted experiments to manipulate and measure the quantum states of these qubits.

Theoretical research also focused on the development of error correction codes, as quantum systems are extremely sensitive to environmental disturbances and prone to errors. Scientists proposed error correction techniques that could protect the delicate quantum states and enable reliable computations.

Overall, before the actual realization of practical quantum computers, the field of quantum computing primarily existed in the realm of theory and mathematical models. Theoretical frameworks, algorithms, and the exploration of potential qubit implementations paved the way for the development of the first working quantum computers as technology advanced and allowed for the manipulation and control of quantum systems on a practical scale.

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