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Reducing quantum computations to elementary unitary operations

2001/01/01 by George Cybenko · 1 citation
Computer Science · Mathematics · Physics and Astronomy · #Algebra over a field #Algorithm #Computation #Computer science #Mathematics #Open quantum system #Physics #Pure mathematics #Quantum #Quantum Computing Algorithms and Architecture #Quantum Fourier transform #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum algorithm #Quantum computer #Quantum error correction #Quantum mechanics #Quantum operation #Quantum phase estimation algorithm #Theoretical computer science #Unitary state

paper · doi:10.1109/5992.908999

openalex publication_date 2001/01/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/16

Abstract

Quantum computations are intimately connected with unitary operators. This article shows that standard techniques from numerical linear algebra can be used to represent quantum computations as sequences of simple quantum operations, called quantum Givens operators, on single quantum bits.

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