A linear time quantum algorithm for 3SAT using irreversible quantum operations

Zachary B. Walters

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arXiv · 1510.00409

A linear time quantum algorithm for 3SAT using irreversible quantum operations

Zachary B. Walters

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Abstract

The Deutsch model of quantum computation is extended to allow for thermodynamically irreversible operations by allowing the system of interest to interact with an outside reservoir. A set of irreversible logical error correction superoperators are constructed which allow the rapid concentration of probability from an exponentially large search space into a small number of logically defined states. These capabilities are used to construct a linear time solution algorithm for the NP complete problem 3SAT.

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Zachary B. Walters. 2015-09-29. A linear time quantum algorithm for 3SAT using irreversible quantum operations. https://arxiv.org/abs/1510.00409

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