Nash embedding: a road map to realizing quantum hardware

Faisal Shah Khan

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arXiv · 1906.05118

Nash embedding: a road map to realizing quantum hardware

Faisal Shah Khan

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Abstract

The non-Euclidean nature of the mathematical model of quantum circuits leaves open the question of their practical implementation in hardware platforms which necessarily reside in the Euclidean space $\mathbb{R}^3$. On the other hand, reversible circuits are elements of Euclidean spaces, making their physical realization in hardware platforms possible and practical. Here, the quantum circuit model for quantum computing is mapped into that of reversible computing in a mathematically robust fashion using Nash embedding so that every quantum computation can be realized as an equivalent reversible one.

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Faisal Shah Khan. 2019-06-09. Nash embedding: a road map to realizing quantum hardware. https://arxiv.org/abs/1906.05118

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