Quantum algorithms for matrix operations and linear systems of equations

DOI10.1088/1572-9494/ad2366zbMATH Open1544.8104MaRDI QIDQ6579584

Alexandr I. Zenchuk, Asutosh Kumar, Wentao Qi, Junde Wu

Publication date: 25 July 2024

Published in: Communications in Theoretical Physics (Search for Journal in Brave)

zbMATH Keywords

quantum algorithmsystems of linear equationsmatrix operation`sender-receiver' quantum computation model

Mathematics Subject Classification ID

Quantum computation (81P68) Linear equations (linear algebraic aspects) (15A06) Quantum algorithms and complexity in the theory of computing (68Q12)

Cites Work

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• Quantum algorithm for linear differential equations with exponentially improved dependence on precision
• Computing scalar products via a two-terminal quantum transmission line
• Complete structural restoring of transferred multi-qubit quantum state
• Solving systems of linear algebraic equations via unitary transformations on quantum processor of IBM quantum experience
• Quantum theory, the Church–Turing principle and the universal quantum computer
• Polynomial-Time Algorithms for Prime Factorization and Discrete Logarithms on a Quantum Computer
• On the Power of Quantum Computation
• Inverting well conditioned matrices in quantum logspace

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