arXiv Open Access 2016

A Quantum Approach to the Unique Sink Orientation Problem

Dave Bacon

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Abstrak

We consider quantum algorithms for the unique sink orientation problem on cubes. This problem is widely considered to be of intermediate computational complexity. This is because there no known polynomial algorithm (classical or quantum) from the problem and yet it arrises as part of a series of problems for which it being intractable would imply complexity theoretic collapses. We give a reduction which proves that if one can efficiently evaluate the kth power of the unique sink orientation outmap, then there exists a polynomial time quantum algorithm for the unique sink orientation problem on cubes.

Topik & Kata Kunci

quant-ph cs.CC cs.DS

Penulis (1)

Dave Bacon

Format Sitasi

APA MLA BibTeX

Bacon, D. (2016). A Quantum Approach to the Unique Sink Orientation Problem. https://arxiv.org/abs/1605.03266

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Informasi Jurnal

Tahun Terbit: 2016
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓