Variational quantum linear solver with a dynamic ansatz
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DOI: 10.1103/physreva.105.012423
Abstract: Variational quantum algorithms have found success in the NISQ era owing to their hybrid quantum-classical approach which mitigate the problems of noise in quantum computers. In our study we introduce the dynamic ansatz in the… read more here.
Keywords: dynamic ansatz; linear solver; quantum linear; quantum ... See more keywords
Applications of a Quantum Linear System Algorithm to Linear MIMO Detections
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DOI: 10.1109/access.2022.3164071
Abstract: A linear system can be solved more efficiently by quantum computing. However, previously known quantum algorithms provide only a quantum state as the solution; consequently, we cannot obtain the value of each component of the… read more here.
Keywords: system; quantum linear; mimo detections; linear system ... See more keywords
Structural Characterization of Linear Quantum Systems With Application to Back-Action Evading Measurement
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DOI: 10.1109/tac.2019.2946234
Abstract: The purpose of this article is to study the structure of quantum linear systems in terms of their Kalman canonical form, which was proposed in a recent paper. The spectral structure of quantum linear systems… read more here.
Keywords: action evading; form; back action; structure ... See more keywords
Quantum Linear System Algorithm for General Matrices in System Identification
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DOI: 10.3390/e24070893
Abstract: Solving linear systems of equations is one of the most common and basic problems in classical identification systems. Given a coefficient matrix A and a vector b, the ultimate task is to find the solution… read more here.
Keywords: system; quantum linear; algorithm general; identification ... See more keywords
A Variational Quantum Linear Solver Application to Discrete Finite-Element Methods
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DOI: 10.3390/e25040580
Abstract: Finite-element methods are industry standards for finding numerical solutions to partial differential equations. However, the application scale remains pivotal to the practical use of these methods, even for modern-day supercomputers. Large, multi-scale applications, for example,… read more here.
Keywords: quantum linear; quantum; linear solver; finite element ... See more keywords