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Quantum Logical Operations on Encoded Qubits

1996/05/14 by Wojciech H. Zurek, Wojciech Hubert Zurek, Raymond Laflamme · 1 citation
Computer Science · Physics and Astronomy · #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum-Dot Cellular Automata #quant-ph

paper · pdf · doi:10.1103/physrevlett.77.4683

5 pages in LaTex, 6 figures, submitted to Physical Review Letters, (May 12, 1996), the paper is also avalaible at http://qso.lanl.gov/qc/

arxiv created 1996/05/14 · openalex publication_date 1996/11/25 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We show how to carry out quantum logical operations (controlled-not and Toffoli gates) on encoded qubits for several encodings which protect against various 1-bit errors. This improves the reliability of these operations by allowing one to correct for 1-bit errors which either preexisted or occurred in the course of operation. The logical operations we consider allow one to carry out the vast majority of the steps in the quantum factoring algorithm.

Citations

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