Studying evaporating black hole using quantum computation algorithms on IBM quantum processor

Analyzing complex quantum systems using quantum computational algorithms is one of the most promising applications of quantum computers. This study focuses on evaluating the performance of a custom variational ansatz in the Variational Quantum Eigensolver (VQE) algorithm compared to predefined ansat...

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Vydáno v:AIP advances Ročník 14; číslo 12; s. 125121 - 125121-13
Hlavní autoři: Dhaulakhandi, Ritu, Das, Raikhik, Behera, Bikash K., Seo, Felix J.
Médium: Journal Article
Jazyk:angličtina
Vydáno: Melville American Institute of Physics 01.12.2024
AIP Publishing LLC
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ISSN:2158-3226, 2158-3226
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Abstract Analyzing complex quantum systems using quantum computational algorithms is one of the most promising applications of quantum computers. This study focuses on evaluating the performance of a custom variational ansatz in the Variational Quantum Eigensolver (VQE) algorithm compared to predefined ansatzes. To achieve this, we employ the evaporating black hole model as a test bed for our analysis. Using the VQE approach, which integrates quantum and classical computing techniques, we aim to minimize the energy expectation value of the Hamiltonian. By training the circuit parameters of a trial wave function as a parameterized quantum circuit, we determine the upper bound for the ground state energy and assess the optimal variational form. We define a custom ansatz for the VQE protocol and compare its performance with other predefined ansatzes. Additionally, we test the performance of three different classical optimizers to further understand their impact on the VQE algorithm’s efficiency and accuracy.
AbstractList Analyzing complex quantum systems using quantum computational algorithms is one of the most promising applications of quantum computers. This study focuses on evaluating the performance of a custom variational ansatz in the Variational Quantum Eigensolver (VQE) algorithm compared to predefined ansatzes. To achieve this, we employ the evaporating black hole model as a test bed for our analysis. Using the VQE approach, which integrates quantum and classical computing techniques, we aim to minimize the energy expectation value of the Hamiltonian. By training the circuit parameters of a trial wave function as a parameterized quantum circuit, we determine the upper bound for the ground state energy and assess the optimal variational form. We define a custom ansatz for the VQE protocol and compare its performance with other predefined ansatzes. Additionally, we test the performance of three different classical optimizers to further understand their impact on the VQE algorithm’s efficiency and accuracy.
Author Seo, Felix J.
Behera, Bikash K.
Das, Raikhik
Dhaulakhandi, Ritu
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  surname: Dhaulakhandi
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  organization: Department of Physics, Indian Institute of Science Education and Research
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  givenname: Raikhik
  surname: Das
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  givenname: Bikash K.
  surname: Behera
  fullname: Behera, Bikash K.
  email: bikas.riki@gmail.com
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  givenname: Felix J.
  surname: Seo
  fullname: Seo, Felix J.
  organization: Department of Physics, Hampton University
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Snippet Analyzing complex quantum systems using quantum computational algorithms is one of the most promising applications of quantum computers. This study focuses on...
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SubjectTerms Algorithms
Hamiltonian functions
Microprocessors
Performance evaluation
Quantum computers
Quantum computing
Test stands
Upper bounds
Wave functions
Title Studying evaporating black hole using quantum computation algorithms on IBM quantum processor
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