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QLSP notebook adding contributors
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Co-authored-by: Lin Lin <[email protected]>
Co-authored-by: Dong An <[email protected]>
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3 people committed Jan 16, 2025
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17 changes: 5 additions & 12 deletions algorithms/aqc/solving_qlsp/solving_qlsp_with_aqc.ipynb
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"\n",
"This tutorial focuses on applying the AQC approach to solve the **Quantum Linear Systems Problem (QLSP)**, a cornerstone problem in quantum computing with significant applications in fields like machine learning, physics, and optimization.\n",
"\n",
"Specifically, we aim to demonstrate how AQC can be utilized to approximate the solution to the QLSP [[1](#QLSP)]. This problem involves finding a quantum state that corresponds to the solution of a linear system of equations. The tutorial provides a structured overview of the QLSP, its mathematical formulation, and the steps needed to transform it into an eigenvalue problem, laying the foundation for solving it within the AQC framework (based on [[1](#QLSP)]).\n",
"Specifically, we aim to demonstrate how AQC can be utilized to approximate the solution to the QLSP [[1](#QLSP)]. This problem involves finding a quantum state that corresponds to the solution of a linear system of equations. The tutorial provides a structured overview of the QLSP, its mathematical formulation, and the steps needed to transform it into an eigenvalue problem, laying the foundation for solving it within the AQC framework.\n",
"\n",
"*The following demonstration we will follow the paper [[1](#QLSP)]. The notebook was written in collaboration with Prof. Lin Lin and Dr. Dong An, the authors of the paper.*\n",
"\n",
"\n",
"---\n",
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"Opening: https://platform.classiq.io/circuit/2rg47VYyxACMDnj5L5X22uji0eX?version=0.65.4\n"
"Opening: https://platform.classiq.io/circuit/2rgCnjlPtdxMT2kt8QKmXg5zzZu?version=0.65.4\n"
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"Opening: https://platform.classiq.io/circuit/2rg4Lh3beXxsqfRZEKwH3FaTkdo?version=0.65.4\n"
"Opening: https://platform.classiq.io/circuit/2rgD1Vo2e7kdIKRiMBL5bebXkW8?version=0.65.4\n"
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"Opening: https://platform.classiq.io/circuit/2rg4i398HDN2PcXRXtqItdAy2W1?version=0.65.4\n"
"Opening: https://platform.classiq.io/circuit/2rgDNT9ZVVOaHuRAhIRhnZ9agA8?version=0.65.4\n"
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],
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"<a id='DISCRETE'>[4]</a>: [The discrete adiabatic quantum linear system solver has lower constant factors than the randomized adiabatic solver\n",
"Pedro C.S. Costa, Dong An, Ryan Babbush, Dominic Berry](https://arxiv.org/abs/2312.07690)"
]
},
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"id": "42a64963-342f-41c1-9d2b-fbb3da175198",
"metadata": {},
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"source": []
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"metadata": {
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