Analysis of quantum fully homomorphic encryption schemes (QFHE) and hierarchial memory management for QFHE

Abstract Homomorphic encryption is a recent and fundamental breakthrough in modern cryptography, which allows the performance of operations on encrypted data without unveiling the data. Leveraging quantum mechanics principles, quantum computers can potentially solve certain computational problems ex...

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Main Authors: Shreya Savadatti, Aswani Kumar Cherukuri, Annapurna Jonnalagadda, Athanasios V. Vasilakos
Format: Article
Language:English
Published: Springer 2025-04-01
Series:Complex & Intelligent Systems
Subjects:
Online Access:https://doi.org/10.1007/s40747-025-01851-7
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author Shreya Savadatti
Aswani Kumar Cherukuri
Annapurna Jonnalagadda
Athanasios V. Vasilakos
author_facet Shreya Savadatti
Aswani Kumar Cherukuri
Annapurna Jonnalagadda
Athanasios V. Vasilakos
author_sort Shreya Savadatti
collection DOAJ
description Abstract Homomorphic encryption is a recent and fundamental breakthrough in modern cryptography, which allows the performance of operations on encrypted data without unveiling the data. Leveraging quantum mechanics principles, quantum computers can potentially solve certain computational problems exponentially faster than classical computers. This immense computational power offers new possibilities for various fields, including cryptography. The rapid evolution of both these fields has led to the development of quantum fully homomorphic encryption (QFHE), which makes the capabilities of classical HE extend into the quantum domain. However, many existing QFHE schemes require significant memory due to complex calculations and fault-tolerance needs. This paper contributes in two ways. First, we provide a comprehensive survey of two specific QFHE schemes, discussing their underlying principles, mathematical frameworks, security aspects, and practical applications. We also explore the challenges posed by quantum computing and how QFHE addresses these to achieve both security and computational efficiency. Second, we propose a new hierarchical memory management system for QFHE, which includes a “quantum cache” (a specialized memory storage for quantum data) and a “reinforcement learning agent” (an intelligent system that learns from experience to optimize decisions). This system dynamically manages data movement between the cache and classical memory, improving memory efficiency and potentially boosting computational performance.
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spelling doaj-art-e63e7792867f4ea18fdd534be95fd4542025-08-20T03:07:57ZengSpringerComplex & Intelligent Systems2199-45362198-60532025-04-0111612810.1007/s40747-025-01851-7Analysis of quantum fully homomorphic encryption schemes (QFHE) and hierarchial memory management for QFHEShreya Savadatti0Aswani Kumar Cherukuri1Annapurna Jonnalagadda2Athanasios V. Vasilakos3School of Computer Science Engineering and Information Systems, Vellore Institute of TechnologySchool of Computer Science Engineering and Information Systems, Vellore Institute of TechnologySchool of Computer Science and Engineering, Vellore Institute of TechnologyDepartment of Networks and Communications, College of Computer Science and Information Technology, IAUAbstract Homomorphic encryption is a recent and fundamental breakthrough in modern cryptography, which allows the performance of operations on encrypted data without unveiling the data. Leveraging quantum mechanics principles, quantum computers can potentially solve certain computational problems exponentially faster than classical computers. This immense computational power offers new possibilities for various fields, including cryptography. The rapid evolution of both these fields has led to the development of quantum fully homomorphic encryption (QFHE), which makes the capabilities of classical HE extend into the quantum domain. However, many existing QFHE schemes require significant memory due to complex calculations and fault-tolerance needs. This paper contributes in two ways. First, we provide a comprehensive survey of two specific QFHE schemes, discussing their underlying principles, mathematical frameworks, security aspects, and practical applications. We also explore the challenges posed by quantum computing and how QFHE addresses these to achieve both security and computational efficiency. Second, we propose a new hierarchical memory management system for QFHE, which includes a “quantum cache” (a specialized memory storage for quantum data) and a “reinforcement learning agent” (an intelligent system that learns from experience to optimize decisions). This system dynamically manages data movement between the cache and classical memory, improving memory efficiency and potentially boosting computational performance.https://doi.org/10.1007/s40747-025-01851-7Quantum computingHomomorphic encryptionQuantum fully homomorphic encryptionCryptographyMemory management system
spellingShingle Shreya Savadatti
Aswani Kumar Cherukuri
Annapurna Jonnalagadda
Athanasios V. Vasilakos
Analysis of quantum fully homomorphic encryption schemes (QFHE) and hierarchial memory management for QFHE
Complex & Intelligent Systems
Quantum computing
Homomorphic encryption
Quantum fully homomorphic encryption
Cryptography
Memory management system
title Analysis of quantum fully homomorphic encryption schemes (QFHE) and hierarchial memory management for QFHE
title_full Analysis of quantum fully homomorphic encryption schemes (QFHE) and hierarchial memory management for QFHE
title_fullStr Analysis of quantum fully homomorphic encryption schemes (QFHE) and hierarchial memory management for QFHE
title_full_unstemmed Analysis of quantum fully homomorphic encryption schemes (QFHE) and hierarchial memory management for QFHE
title_short Analysis of quantum fully homomorphic encryption schemes (QFHE) and hierarchial memory management for QFHE
title_sort analysis of quantum fully homomorphic encryption schemes qfhe and hierarchial memory management for qfhe
topic Quantum computing
Homomorphic encryption
Quantum fully homomorphic encryption
Cryptography
Memory management system
url https://doi.org/10.1007/s40747-025-01851-7
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AT annapurnajonnalagadda analysisofquantumfullyhomomorphicencryptionschemesqfheandhierarchialmemorymanagementforqfhe
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