Computational Algorithm Design in Quantum Systems

Kuldeep Singh Kaswan, Jagjit Singh Dhatterwal, Anupam Baliyan, Shalli Rani · 2023

In principle, a quantum computer may enable algorithmic methods that are theoretically more optimal than those that can be achieved using a conventional computer. The scalability of the number of mathematical operations required to perform specific quantum algorithms may perfectly balance the apparent quantum concurrency, such that the net result is comparable to classical parallelism. This chapter presents computer technology as a mathematical formulation devoid of any physical links. Only the usage of notation and language acquired from quantum physics may be considered moderation. Computing in the quantum realm is based on a probability paradigm. Computational activities approximating highly structured unitary matrix are important for the success of quantum algorithms because they may be expressed implicitly with low complexity. The chapter shows how certain modifications might pave the way for the creation of novel quantum cryptography that are more advanced than the best conventional counterparts.

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