Abstract

In this paper we discuss the interdisciplinary approach of Linear Algebra in quantum computing. Everything in quantum computing, from the representation of Qubits and gates to circuit's functionality can be described using various forms of Linear Algebra. The most advanced topics Inner product spaces, Vectors, Spectral theorem, Hilbert Spaces, exponential matrices, tensor product etc., of linear algebra are required to predict what a quantum computer does in response to a sequence of instructions

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