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Simulating the Effect of Decoherence and Inaccuracies on a Quantum Computer

1998/04/16 by Kevin M. Obenland, Kevin Obenland, Obenland, Kevin M. +2
Computer Science · Physics and Astronomy · #FOS: Physical sciences #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum Physics (quant-ph) #Quantum-Dot Cellular Automata #quant-ph

paper · pdf · doi:10.48550/arxiv.quant-ph/9804038

12 pages, Presented at the 1st NASA conference on Quantum Computing and Quantum Communication

arxiv created 1998/04/16 · openalex publication_date 1998/04/16 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

A Quantum Computer is a new type of computer which can solve problems such as factoring and database search very efficiently. The usefulness of a quantum computer is limited by the effect of two different types of errors, decoherence and inaccuracies. In this paper we show the results of simulations of a quantum computer which consider both decoherence and inaccuracies. We simulate circuits which factor the numbers 15, 21, 35, and 57 as well as circuits which use database search to solve the circuit satisfaction problem. Our simulations show that the error rate per gate is on the order of 10-6 for a trapped ion quantum computer whose noise is kept below pi/4096 per gate and with a decoherence rate of 10-6. This is an important bound because previous studies have shown that a quantum computer can factor more efficiently than a classical computer if the error rate is of order 10-6.

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