
Sustainable Blind Quantum Computing
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Quantum computing systems are powerful for allowing a client to perform any quantum computations from a remote quantum server while concealing the structure and content of the computation fall under the category of blind quantum computing (BQC). In BQC, the client delegates the quantum processing to one or more powerful quantum servers while retaining privacy over the input, computation and output. This makes it suitable for secure quantum cloud computing. This feature is powerful to ensure that even untrusted servers cannot learn the details of the user's computation. With quantum computing, there is a fast-growing need to transition from general-purpose quantum systems to customized architectures tailored to specific application requirements. This transition is critical while considering sustainability goals and financial limitations. With this advanced computing architecture, a custom system can optimize energy use, hardware complexity, and resource allocation to better serve individual user needs while staying within budgetary boundaries.
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Persons
Ganguly , Vishwakarma , IBM, USA; Bhatia , U of Salford, UK; Mohanty, Amity U; Kumar , U Petroleum and Energy Studies, India.
Content
- Intro
- Contents
- List of contributing authors
- Chapter 1 Geometric quantum machine learning (GQML): concepts, challenges, and applications
- 1 Motivations for geometric quantum machine learning (GQML) over traditional QML
- 1.1 Enhanced efficiency
- 1.2 Improved accuracy and generalization
- 1.3 Addressing quantum model limitations
- 1.4 Applications in quantum algorithms
- 1.5 Better alignment with physical systems
- 1.6 Advancing quantum machine learning
- 1.7 Recent advances in GQML
- 2 Overview of group representation theory
- 2.1 Basic concepts
- 2.2 Applications in quantum mechanics
- 2.3 Importance in machine learning and data science
- 2.4 Equivariance and invariance
- 2.5 Constructing representations
- 2.6 Recent advances
- 3 Definition and importance of group representations
- 3.1 Key components
- 3.2 Importance of group representations
- 3.3 Latest progress in quantum machine learning with group representation theory
- 4 Linear representations: matrix groups and actions
- 4.1 Linear representations
- 4.2 Matrix groups
- 4.2.1 Matrix Lie groups
- 4.3 Actions
- 4.4 Value in GQML
- 4.4.1 Quantum model construction
- 4.4.2 Reduction via symmetry
- 5 Character theory and irreducible representations
- 5.1 Irreducible representations
- 5.2 Character theory
- 5.2.1 Characters
- 5.2.2 Orthogonality relations
- 5.3 Use in quantum mechanics
- 5.3.1 Symmetry analysis
- 5.3.2 Quantum state decomposition
- 5.3.3 Efficient implementation of the quantum Schur transform: a generalized coupling method
- 6 Symmetry in physics and mathematics
- 6.1 Symmetry groups: point groups, space groups, and Lie groups
- 6.1.1 Point groups
- 6.1.2 Space groups
- 6.1.3 Lie groups
- 7 Equivariant and invariant models
- 7.1 Maps and functions with equivariance
- 7.1.1 Equivariant map
- 7.2 Building equivariant models
- 7.2.1 Quantum circuit design
- 7.3 Equivariant models
- 7.4 Symmetry-invariant neural networks (E-CNNs) and quantum models
- 7.4.1 E-CNNs
- 7.4.2 Quantum analogs
- 7.5 Significance in GQML
- 7.5.1 Improvement in model performance
- 7.5.2 Theoretical grounding
- 7.6 A new family of symmetry-adapted deep learning architectures for invariant and equivariant Reynolds networks
- 8 Capturing symmetries in GQML
- 8.1 Concept of label invariance under group representation
- 8.2 Label invariance interpretation
- 8.2.1 Action of groups on data
- 8.2.2 Mathematical formalism
- 8.2.3 Significance in quantum models
- 8.3 Use cases
- 8.4 Advantages of label invariances
- 8.4.1 Generalizability
- 8.4.2 Fewer training examples
- 8.4.3 Noise robustness
- 8.5 Symmetries in GQML: a novel perspective
- 9 How to recognize symmetries in data and problems
- 9.1 Methods for identifying symmetries
- 9.1.1 Data analysis
- 9.1.2 Group theory and algebraic techniques
- 9.1.3 Feature engineering based on symmetry
- 9.2 Implementing symmetry detection in quantum models
- 9.2.1 Invariant and equivariant layers
- 9.2.2 Twirling and averaging
- 9.2.3 Group convolution layers
- 9.3 Future direction and hardships
- 9.3.1 Harnessing the power of intricate symmetries
- 9.3.2 Hardships with further quantum methods
- 9.3.3 Applications in the real world
- 10 Constructing equivariant quantum models
- 10.1 Transforming standard gates into equivariant gates
- 10.2 Process of transformation
- 10.3 Constraints due to the symmetries
- 10.4 Equivariant gate examples
- 10.5 The gate symmetrization procedure
- 10.6 Symmetrization methods
- 10.6.1 Twirling
- 10.6.2 Choi operators
- 10.6.3 Projection onto invariant subspaces
- 10.7 Theory for equivariant quantum neural networks
- 10.7.1 Project on invariant subspaces
- 10.7.1.1 Theoretical discussion
- 10.7.2 Invariant subspaces project
- 10.7.2.1 Theoretical discussion
- 10.8 Rotationally equivariant quantum machine learning open for training with guaranteed performance
- 11 Usage and advantages
- 11.1 Efficiency
- 11.2 Better accuracy
- 11.3 Robustness
- 12 Equivariant quantum circuits: examples and implication on quantum machine learning
- 12.1 Quantum convolutional neural networks (QCNNs)
- 12.1.1 QCNNs for group-equivariant neural networks
- 12.1.2 Rotational symmetries
- 12.2 Symmetries under rotation
- 12.3 Equivariant quantum classifiers
- 12.4 Symmetric quantum simulations
- 12.5 Effects on quantum machine learning
- 12.5.1 Advanced learning algorithms
- 12.5.2 Scalability
- 12.6 Recent advancements in quantum circuits for machine learning and graph data analysis
- 13 Advantages of geometric quantum machine learning (GQML)
- 13.1 Good trainability and generalization
- 13.1.1 Utilizing symmetry
- 13.1.2 Incremental generalization
- 13.1.3 Reduction in training data requirements
- 13.2 Potential for quantum computational advantage
- 13.2.1 Quantum parallelism
- 13.2.2 Compact native quantum representations
- 13.2.3 Complex quantum systems
- 13.2.4 Symmetry-adapted ansatzes (SA)
- 13.2.5 Reduced search space
- 13.2.6 Gains on the robustness against noise
- 13.3 New developments on quantum computational advantage
- 14 Outlook on the role of GQML in the future of quantum machine learning
- 14.1 Scaling to large or continuous symmetry groups
- 14.2 Alleviating barren plateaus
- 14.3 Combining GQML with other methods
- 15 Conclusion
- References
- Chapter 2 Quantum simulation of singlet fission for increasing solar cell efficiency
- 1 Introduction
- 2 Singlet fission: a promising solution to increase solar cell efficiency
- 3 Challenges in simulating singlet fission
- 4 Quantum mechanics and quantum computers
- 5 Quantum simulation: a powerful tool
- 6 Quantum algorithms for singlet fission
- 6.1 Quantum phase estimation
- 6.2 Variational quantum eigensolver
- 6.3 Quantum approximate optimization algorithm (QAOA)
- 6.4 Quantum walk algorithms
- 6.5 Quantum machine learning
- 7 Method
- 8 Challenges and mitigation
- 9 Commercial importance
- 10 Solar power: additional uses of quantum simulation
- 11 Conclusion
- References
- Chapter 3 Blockchain integration in supply chain management
- 1 Introduction
- 2 Benefits of blockchain integration in SCM
- 2.1 Reduced fraud and counterfeiting in the supply chain
- 2.2 The supply chain has become more efficient
- 2.3 Improved communication and coordination throughout the supply chain
- 3 Challenges of blockchain integration in SCM
- 3.1 Implementing blockchain technology for SCM presents technical obstacles
- 3.2 Regulatory and legal challenges of using blockchain technology in SCM
- 3.3 Integration with existing systems and technologies
- 4 Use cases of blockchain integration in SCM
- 4.1 Examples of companies using blockchain technology to improve their SCM, such as Walmart, Maersk, and Nestle
- 4.2 Case studies on how blockchain technology has been used to address specific supply chain challenges, such as food safety and provenance
- 5 Future directions and opportunities
- 5.1 Possibilities for developing and expanding the field
- 6 Conclusion
- References
- Chapter 4 Quantum secrets: safeguarding privacy in computational protocols
- 1 Introduction
- 1.1 The need for privacy in quantum computation
- 1.2 The quantum leap: opportunities and risks
- 1.3 Privacy in the digital age
- The concept of privacy in quantum computing
- 1.4 Emerging threats and the urgency for solutions
- 1.5 Why privacy matters in quantum computing
- 1.5.1 Foundations of privacy in quantum computing
- 1.6 How quantum principles such as superposition and entanglement make novel privacy solutions possible
- 1.6.1 Superposition: the secure information encoding principle
- 1.6.2 Quantum entanglement
- 1.7 Applications in privacy solutions
- 2 Unique privacy features enabled by quantum principles
- 2.1 No-cloning theorem
- 2.2 Quantum randomness
- 2.3 Tamper evidence
- 2.4 Emerging quantum privacy solutions
- 2.5 Challenges and limitations
- 3 Technical challenges in quantum privacy
- 3.1 Limitations of current quantum hardware
- 3.2 Managing errors and noise in quantum systems
- 3.3 Sources of errors and noise in quantum systems
- 3.4 Balancing privacy, efficiency, and computational resources
- Privacy
- Efficiency
- 3.5 Quantum state preparation and measurement
- 3.6 Security vulnerabilities in implementation
- 4 Ethical and policy considerations
- 4.1 Implication of quantum privacy on surveillance and data sovereignty
- 4.1.1 Implication of surveillance
- 4.1.2 Implication of data sovereignty
- 4.2 Ethical challenges of using quantum technology for privacy and security
- 4.3 Policy and regulatory requirements to guide responsible development
- 5 Quantum secrets in action: Case studies and applications
- 5.1 Introduction to quantum secrets
- 5.1.1 Key cryptographic applications in the quantum age include:
- 5.2 Applications of QKD in finance, healthcare, and defense
- 5.2.1 Applications of QKD in finance
- Case studies of QKD in finance
- 5.2.2 Applications of QKD in healthcare
- Case studies of QKD in healthcare
- 5.2.3 Applications of QKD in defense sector
- Case studies of QKD in the defence sector
- Conclusion
- 6 The road ahead: Innovations and opportunities
- 6.1 Emerging technologies in quantum secure computation
- 6.2 PQC integration into the classical systems involves
- 6.2.1 Quantum key distribution and hybrid communication networks
- 6.3 Quantum-enhanced AI and privacy-preserving machine learning
- References
- Chapter 5 Invisible inputs: the future of private quantum computing
- 1 Introduction
- 1.1 Importance of privacy in quantum computing
- 1.2 Invisible inputs
- 1.2.1 Role in secure quantum computing
- 1.3 Key techniques for ensuring privacy in quantum computing
- 2 Principles of BQC
- 2.1 Definition and objectives of BQC
- 2.1.1 Example scenario
- 2.1.2 Example of BQC in practice
- 2.2 Significant features of BQC
- 2.3 Computation via BQC
- 2.3.1 Example scenario
- 2.4 BQC models
- Advantages of the circuit-based model
- Limitations of the circuit-based model
- Applications of the circuit-based model
- Advantages of MBQC
- Disadvantages of MBQC
- Applications of MBQC
- Advantages of the ancilla-driven model
- Error resilience
- Drawbacks of the ancilla-driven model
- 3 Ensuring privacy and computation integrity
- 3.1 Techniques for ensuring computation integrity
- 3.2 BQC protocols
- 3.3 Quantum cryptographic techniques in security and privacy
- 3.4 Illustration of invisible inputs preservation during computation
- 4 Applications of BQC
- 5 Use cases of BQC
- 6 Problems/ challenges with BQC
- 7 Future research roadmap
- 8 Advancements and future prospects
- 8.1 New development in the BQC protocol and implementation of experiments
- 8.2 Emerging technologies that enable efficient blind quantum computing
- 9 Practical use and interaction with classical systems
- 10 Private quantum computation
- 10.1 Importance of private quantum computation
- 10.2 Key mechanisms for making inputs invisible
- 10.3 How blind quantum computing can reshape the future of secure computation
- 11 Machine learning in quantum computing: A comprehensive overview
- 11.1 Key advantages of QML over classical ML
- 11.2 Key concepts in QML
- 11.3 Quantum algorithms for machine learning
- 11.4 Quantum generative models
- 11.5 Challenges in QML
- 11.6 Tools and frameworks for QML
- 11.7 Future of QML
- 12 Conclusion of the chapter: A quantum leap for safe computation
- References
- Chapter 6 First Steps Toward Graph-Based and Quantum Tools for Omics Expression Analysis
- 1 Introduction
- 2 Omics data and perturbation studies
- 2.1 Gene expression analysis
- 2.2 Proteomics in systems biology
- 2.2.1 Proteomic tools
- 2.3 Big data challenges and methodological approaches
- 3 Network theory in systems biology
- 3.1 Mechanisms of cAMP signaling: bottom-up approach
- 3.2 Computational tools
- 4 Quantum computing in graph analysis
- 4.1 Integrating quantum and classical approaches
- 5 Applications and case studies
- 6 Discussion
- 7 Conclusion
- References
- Chapter 7 Cybersecurity in the quantum era
- 1 Introduction
- 2 Quantum computing threats to cryptography
- 2.1 Vulnerabilities in classical cryptographic systems
- 2.2 Related work
- A. Emerging trends and future directions in quantum-resistant security
- B. The evolution of quantum computing and cryptography
- C. Development and standardization of post-quantum cryptography
- D. Impact of quantum computing on infrastructure security
- E. Mitigating quantum threats in digital infrastructures
- F. Strategies of major cloud providers in addressing quantum threats
- Quantum attack scenarios
- 3 Assessing cyber risks in classic cryptographic standards and quantum computing
- Quantifying quantum threats
- Probable likelihood of quantum threat is calculated as:
- 3.1 Post-quantum cryptographic solutions
- Quantum impact assessment
- Transitioning to a quantum-safe cryptographic environment
- Challenges beyond quantum-resistant algorithms
- 3.2 Risk assessment framework
- 4 Strategic vulnerability assessment
- 4.1 Infrastructure layers at risk
- 4.2 Mitigation strategies
- 5 Recommendations
- 6 Conclusion
- References
- Chapter 8 Quantum computing and blind computing for secure futuristic networks
- 1 Introduction
- 1.1 Overview of modern network security challenges
- 1.2 Emerging technologies for securing future networks
- 2 Fundamentals of quantum computing
- 2.1 Key concepts of quantum computing: qubits, superposition, and entanglement
- 2.2 Quantum algorithms and their impact on cryptography
- 2.3 Threats to classical cryptographic systems
- 3 Blind computing: enhancing privacy
- 3.1 Definition and key principles of blind computing
- 3.2 Cryptographic techniques of blind computing
- 3.2.1 Homomorphic encryption (HE)
- 3.2.2 Secure multiparty computation (SMPC)
- 3.3 Applications of blind computing in securing network
- 4 Quantum-safe cryptography for future networks
- 4.1 Post-quantum cryptography
- 4.2 Quantum-resistant algorithm types
- 4.3 Implementing quantum-safe solutions in networks
- 4.4 Challenges in adoption of quantum-safe cryptography
- 5 Integration of quantum computing and blind computing
- 6 Conclusion
- References
- Chapter 9 Materials science for superconducting and photonic qubits
- 1 Introduction
- 2 Fundamentals of materials science
- 2.1 Structure
- 2.2 Properties
- 2.3 Designing and engineering of materials
- 3 Role of materials science in quantum industry
- 4 Superconducting qubits
- 4.1 London and London's theory (phenomenological approach)
- 4.2 F. London's quantum theoretic approach
- 5 Types of superconductors
- 5.1 Type I superconductors
- 5.1.1 BCS theory
- 5.2 Type II superconductors
- 6 Properties of superconductors
- 6.1 Cooper pairs
- 6.2 Meissner effect
- 6.3 Zero electrical resistance
- 6.3.1 Critical magnetic field, {H_{\rm{c}}}
- 6.3.1.1 Summary of results
- 6.3.1.2 List of superconducting materials with critical temperature and critical magnetic field
- 6.3.1.2.2 Type II superconductors (compounds)
- 6.3.2 Current density
- 7 High-temperature superconductors
- 8 Materials in superconductors
- 8.1 Two-level system (TLS)
- 8.2 Surface oxides and interfaces
- 8.3 Substrate defects
- 8.4 Josephson junction imperfections
- 8.5 Charge trapping
- 9 Photonic qubits
- 9.1 Introduction to photonic qubits
- 9.2 Material platforms for photonic qubit generation
- 9.2.1 Silicon-based platforms
- 9.2.2 III-V semiconductors
- 9.3 Characterization of single-photon sources
- 9.4 Photon purity
- 9.4.1 Indistinguishability
- 9.4.2 Source efficiency
- 9.5 Generation of photonic qubits by single-photon sources
- References
- Chapter 10 Quantum cryptography and its advances
- 1 Introduction
- 1.1 Objectives and contributions of work
- 1.2 Organization of work
- 2 Literature review
- 3 Background
- 3.1 Quantum advantage over classical cryptography
- 4 Analysis of few advanced methods of quantum cryptography
- 5 Practical applications of quantum cryptography
- 5.1 Secure communications
- 5.2 Government and military applications
- 5.3 Financial transactions
- 5.4 IoT devices
- 5.5 Ensuring secure communication in smart devices
- 6 Challenges of quantum cryptography
- 7 Future of quantum cryptography
- 8 Conclusion
- References
- Chapter 11 Quantum security in 6G networks
- 1 Introduction
- 1.1 Quantum-grade security in mobile networks
- 1.2 Mobile computing
- 1.3 Wireless networks
- 1.4 6G mobile communication networks
- 2 Quantum computing as a threat
- 2.1 Cryptography
- 2.2 Quantum computing
- 2.2.1 Quantum gates and their matrices
- 2.3 Shor's algorithm
- 2.4 Grover's search algorithm
- 2.5 Impact on wireless mobile networks
- 3 Security approaches
- 3.1 Quantum key distribution
- 3.1.1 The principles of QKD
- 3.1.2 The BB84 protocol
- 3.1.3 The B92 protocol
- 3.1.4 The E91 protocol
- 3.1.5 Advanced QKD protocols
- 3.1.6 Comparative analysis
- 3.2 Post-quantum cryptography
- 3.2.1 Lattice-based cryptography
- 3.2.2 Code-based cryptography
- 3.2.3 Hash-based cryptography
- 3.2.4 Multivariate polynomial cryptography
- 3.2.5 Isogeny-based cryptography
- 3.2.6 NIST standards of PQC
- 4 Comparative and hybrid approaches
- 4.1 Challenges in QKD
- 4.2 PQC versus QKD
- 4.3 Hybrid approaches
- 4.4 Blind quantum computation and related protocols
- 5 Conclusion
- References
- Chapter 12 Quantum blind computing for privacy-preserving medical diagnosis
- 1 Introduction
- 1.1 Overview of privacy concerns in medical diagnostics
- 1.2 Importance of secure medical data handling
- 1.3 Introduction to quantum computing and blind computing
- 1.4 Purpose and scope of the chapter
- 2 Understanding privacy-preserving techniques
- 2.1 Traditional privacy-preserving methods
- 2.2 Challenges in privacy preservation in medical diagnostics
- 2.3 Limitations of classical privacy-preserving methods
- 3 Basics of quantum computing
- 3.1 Relevance of quantum computing to privacy and security
- 4 Quantum blind computing for medical diagnostics
- 4.1 Integration of quantum blind computing with medical diagnostic tools
- 4.2 Quantum protocols for secure medical data processing
- 5 Case study: privacy-preserving telemedicine platform using quantum key distribution
- 6 Future prospects and research directions
- 7 Conclusion
- References
- Chapter 13 Enhancement of cycle boundaries in WEDM on Al7075 with nanoparticles of SiC and TiC
- 1 Introduction
- 2 Materials and methodology
- 2.1 Mechanism of metal removal rate (MRR)
- 2.2 Design of experiments (DOEs)
- 2.3 Analysis of variance (ANOVA)
- 3 Experimental work
- 4 Results and discussion
- 5 Conclusions
- References
- Chapter 14 Design and deployment of a quantum algorithm on cloud
- 1 Introduction
- 2 Variational quantum algorithm
- 2.1 Architecture
- 2.2 Ansatzes
- 2.3 Optimizers
- 2.4 Applications
- 2.5 Problems related to hardware
- 2.5.1 Noise
- 2.5.2 Error mitigation
- 3 Variational quantum eigensolver
- 4 Summary of VQE
- 4.1 Steps to construct VQE
- 4.1.1 Constructing the Hamiltonian
- 4.1.2 Operator encoding
- 4.1.3 Selecting the ansatz and setting the state
- 4.1.4 Optimizing the parameter
- 5 Streamlit
- 5.1 Introduction to Streamlit
- 5.2 How to use Streamlit
- 5.2.1 Installing Streamlit
- 5.2.2 Creating your first Streamlit app
- 5.2.3 Core components of Streamlit
- 5.3 Building a quantum computing app with Streamlit
- 5.4 Web application of VQE using streamlit
- 5.4.1 Features of the VQE calculator
- 5.5 How to use the VQE calculator
- 5.6 Example: calculating the ground-state energy of {H2}
- 5.7 Challenges and solutions
- 6 Deploying the app
- 6.1 Introduction to AWS
- 6.1.1 Deploying the app on AWS
- 6.2 Deploying the app on Streamlit Sharing
- 7 Comparison: AWS versus Streamlit Sharing
- 8 Conclusion
- References
- Index
- De Gruyter Series in Quantum Computing
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