Quantum computing experimentation with Amazon Braket: explore Amazon Braket quantum computing to solve combinatorial optimization problems
Amazon Braket is a cloud-based pay-per-use platform for executing quantum algorithms on cutting-edge quantum computers and simulators. It is ideal for developing robust apps with the latest quantum devices. With this book, you'll take a hands-on approach to learning how to take real-world probl...
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| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Birmingham, UK
Packt Publishing Ltd.
2022
|
| Edition: | 1st edition |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Summary: | Amazon Braket is a cloud-based pay-per-use platform for executing quantum algorithms on cutting-edge quantum computers and simulators. It is ideal for developing robust apps with the latest quantum devices. With this book, you'll take a hands-on approach to learning how to take real-world problems and run them on quantum devices. You'll begin with an introduction to the Amazon Braket platform and learn about the devices currently available on the platform, their benefits, and their purpose. Then, you'll review key quantum concepts and algorithms critical to converting real-world problems into a quantum circuit or binary quadratic model based on the appropriate device and its capability. The book also covers various optimization use cases, along with an explanation of the code. Finally, you'll work with a framework using code examples that will help to solve your use cases with quantum and quantum-inspired technologies. Later chapters cover custom-built functions and include almost 200 figures and diagrams to visualize key concepts. You'll be able to scan the capabilities provided by Amazon Braket and explore the functions to adapt them for specific use cases. By the end of this book, you'll have the tools to integrate your current business apps and AWS data with Amazon Braket to solve constrained and multi-objective optimization problems. |
| Item Description: | Description based on print version record |
| Physical Description: | xxiii, 397 Seiten Illustrationen, Diagramme |
| ISBN: | 9781800565265 |
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| adam_text | Table of Contents Preface Section 1: Getting Started with Amazon Braket 1 Setting Up Amazon Braket Technical requirements 4 The overall Amazon Braket landscape 4 Creating an AWS account 5 Starting the Amazon Braket service 8 12 Configuring the AWS S3 service Working with the notebook service 13 Starting the notebook service in Braket 13 Using notebooks and examples in Braket 15 Shutting down the notebook service in Braket 18 Remote access to Amazon Braket using Boto3 Validating if SDK installation is working Signing in to the AWS account Summary Further reading 22 22 23 23 19 2 Braket Devices Explained Annealing-based quantum devices 26 Amazon Braket simulators 36 Introducing D-Wave quantum devices 27 Gate-based quantum devices 31 Simulators executing on a local device Simulators executing on Amazon resources 37 37 An overview of lonQ s quantum device Introducing Rigetti quantum devices Oxford Quantum Circuits 32 34 35 Summary Further reading 38 38
x Table of Contents З User Setup, Tasks, and Understanding Device Costs Technical requirements Setting up user groups and users 39 40 Finding your tasks and results 51 Understanding device costs and billing 55 Creating a user group Setting up users 41 43 QPU versus simulator devices Viewing your charges 56 58 Creating a policy for users Running test code 45 49 Summary Further reading 60 60 Writing Your First Amazon Braket Code Sample Technical requirements Finding active devices Assigning a device 61 62 64 Using the local simulator Using Amazon simulators or quantum devices 64 65 Estimating the cost of the device Creating a simple quantum circuit 66 72 Putting together a simple quantum circuit example Representing a binary value using a quantum circuit Running a circuit on the Amazon simulator Actual cost of using the Amazon simulator 74 77 80 Summary Further reading Concluding Section 1 80 81 81 73 Section 2: Building Blocks for Real-World Use Cases 5 Using a Quantum Annealer - Developing a QUBO Function and Applying Constraints Technical requirement Solving optimization problems 86 86 Simulated annealing 87 Quantum annealing 88 Quadratic Unconstrained Binary Optimization (QUBO) problems 89
Table of Contents A simple conceptual model for D-Wave A QUBO example using three variables and ExactSolverO Running the three-variable problem on D-Wave annealer 90 Representing the problem in graph form 104 Summarizing the problem 104 92 The traditional formulation A tool to visualize the energy landscape A simple penalty function to implement the constraint Running the problem on classical and quantum solvers 105 108 94 A party optimization example A team selection example 98 101 A simple process for solving problems using D-Wave Reviewing data 102 103 Summary Further reading 111 115 119 119 Using Gate-Based Quantum Computers - Qubits and Quantum Circuits Building multiple qubit quantum circuits 141 Three-qubit circuit example 143 Technical requirements What is a quantum circuit? Understanding the basics of a qubit 122 122 123 Using matrix mathematics Using matrix mathematics to represent single-qubit gates Using quantum gates in a quantum circuit 126 Example inspired by the Google Supremacy experiment 127 134 The actual Google experiment Circuit implementation on Amazon Braket Execution results for a single 7x2 circuit Single-qubit gate rotation example - the Bloch Clock 138 Representing the hour of the day using θ 139 Representing the minutes and seconds using φ 139 Summary Further reading 153 153 154 156 174 174 7 Using Gate Quantum Computers - Basic Quantum Algorithms Technical requirements What is a quantum Oracle? Observing the effect of amplitude amplification 178 178 Grover s operator using unitary matrices 180 179 Grover s search algorithm using quantum circuits
Repetitions of the Grover diffuser operator Using Grover s algorithm in searches 185 189 190 Working with phases 190 Translating between the Computational basis and the Fourier basis 194 xi
xii Table of Contents Adding phase information to a qubit How the phase adder circuit is used in quantum circuits 196 200 Using Quantum Fourier Transform and its inverse Adding numbers using the phase adder Summary Further reading 204 206 207 208 8 Using Hybrid Algorithms - Optimization Using Gate-Based Quantum Computers Technical requirements Representing a binary quadratic function using a phase adder Introduction to QAOA concepts Experimentally validating QAOA concepts 210 210 220 Fine-tuning parameters for QAOA Implementing QAOA for optimization Summary Further reading 230 236 239 240 224 Running QAOA on Simulators and Amazon Braket Devices Technical requirements Further QAOA considerations 242 242 Benchmarking QAOA on Amazon Braket devices 253 Optimizing a 34x34 matrix 258 262 Optimizing a 38x38 sparse matrix Full QAOA hybrid algorithm using a classical parameter optimizer Multiple-step parameter optimization in QAOA Optimizing an 11x11 matrix 242 Summary of results 251 Summarv У Further reading Concluding section 2 253 268 269 269 270
Table of Contents Section 3: Real-World Use Cases 10 Amazon Braket Hybrid Jobs, PennyLane, and other Braket Features Technical requirement 276 Utilizing Amazon Braket Hybrid Jobs 276 Permissions Using Amazon Braket Hybrid Jobs A QAOA example using Amazon Braket Hybrid Jobs Job Control Code Job Source Module Xanadu PennyLane Calling Amazon Braket devices from PennyLane 277 278 281 282 286 288 288 Using PennyLane within Amazon Braket Hybrid Jobs Xanadu Borealis IBM Qiskit Other Amazon Braket Hybrid Jobs features Controlling the region of the environment Hardware configuration Multiple parallel device execution Debugging failed jobs Containers Summary Further reading 289 289 289 290 290 290 290 290 291 292 292 11 Single-Objective Optimization Use Case Technical requirements 296 Introduction to the knapsack problem 296 Visualizing the knapsack problem 297 QUBO formulation for the knapsack problem 302 Implementing the knapsack QUBO in code Stitching the QUBO matrices together Getting results from different QUBO samplers Using the probabilistic sampler 305 313 316 317 Running the knapsack problem on a D-Wave device Running the knapsack problem on Amazon Braket simulator SVI Running the knapsack optimization problem on a Rigetti Aspen 11 device Running on a Rigetti Aspen M-l device A process for solving constrained optimization problems Summary Further reading 326 328 331 332 333 334 335 xiii
xiv Table of Contents 12 Multi-Objective Optimization Use Case Technical requirements Looking into a mock inventory management problem Setting up the multi-objective problem Evaluating the best product mix based on scenario A Determining the conflict based on the opposing objectives Evaluating the results with the probabilistic solver 338 338 338 341 347 347 Evaluating the optimal values using the D-Wave annealer Determining a better global solution 359 Evaluating with the classical probabilistic solver Evaluating the best solution using D-Wave Other Books You May Enjoy 361 365 Summary 375 Further reading 375 Concluding section 3 377 Appendix - Knapsack BQM Derivation Index 353
|
| adam_txt |
Table of Contents Preface Section 1: Getting Started with Amazon Braket 1 Setting Up Amazon Braket Technical requirements 4 The overall Amazon Braket landscape 4 Creating an AWS account 5 Starting the Amazon Braket service 8 12 Configuring the AWS S3 service Working with the notebook service 13 Starting the notebook service in Braket 13 Using notebooks and examples in Braket 15 Shutting down the notebook service in Braket 18 Remote access to Amazon Braket using Boto3 Validating if SDK installation is working Signing in to the AWS account Summary Further reading 22 22 23 23 19 2 Braket Devices Explained Annealing-based quantum devices 26 Amazon Braket simulators 36 Introducing D-Wave quantum devices 27 Gate-based quantum devices 31 Simulators executing on a local device Simulators executing on Amazon resources 37 37 An overview of lonQ's quantum device Introducing Rigetti quantum devices Oxford Quantum Circuits 32 34 35 Summary Further reading 38 38
x Table of Contents З User Setup, Tasks, and Understanding Device Costs Technical requirements Setting up user groups and users 39 40 Finding your tasks and results 51 Understanding device costs and billing 55 Creating a user group Setting up users 41 43 QPU versus simulator devices Viewing your charges 56 58 Creating a policy for users Running test code 45 49 Summary Further reading 60 60 Writing Your First Amazon Braket Code Sample Technical requirements Finding active devices Assigning a device 61 62 64 Using the local simulator Using Amazon simulators or quantum devices 64 65 Estimating the cost of the device Creating a simple quantum circuit 66 72 Putting together a simple quantum circuit example Representing a binary value using a quantum circuit Running a circuit on the Amazon simulator Actual cost of using the Amazon simulator 74 77 80 Summary Further reading Concluding Section 1 80 81 81 73 Section 2: Building Blocks for Real-World Use Cases 5 Using a Quantum Annealer - Developing a QUBO Function and Applying Constraints Technical requirement Solving optimization problems 86 86 Simulated annealing 87 Quantum annealing 88 Quadratic Unconstrained Binary Optimization (QUBO) problems 89
Table of Contents A simple conceptual model for D-Wave A QUBO example using three variables and ExactSolverO Running the three-variable problem on D-Wave annealer 90 Representing the problem in graph form 104 Summarizing the problem 104 92 The traditional formulation A tool to visualize the energy landscape A simple penalty function to implement the constraint Running the problem on classical and quantum solvers 105 108 94 A party optimization example A team selection example 98 101 A simple process for solving problems using D-Wave Reviewing data 102 103 Summary Further reading 111 115 119 119 Using Gate-Based Quantum Computers - Qubits and Quantum Circuits Building multiple qubit quantum circuits 141 Three-qubit circuit example 143 Technical requirements What is a quantum circuit? Understanding the basics of a qubit 122 122 123 Using matrix mathematics Using matrix mathematics to represent single-qubit gates Using quantum gates in a quantum circuit 126 Example inspired by the Google Supremacy experiment 127 134 The actual Google experiment Circuit implementation on Amazon Braket Execution results for a single 7x2 circuit Single-qubit gate rotation example - the Bloch Clock 138 Representing the hour of the day using θ 139 Representing the minutes and seconds using φ 139 Summary Further reading 153 153 154 156 174 174 7 Using Gate Quantum Computers - Basic Quantum Algorithms Technical requirements What is a quantum Oracle? Observing the effect of amplitude amplification 178 178 Grover's operator using unitary matrices 180 179 Grover's search algorithm using quantum circuits
Repetitions of the Grover diffuser operator Using Grover's algorithm in searches 185 189 190 Working with phases 190 Translating between the Computational basis and the Fourier basis 194 xi
xii Table of Contents Adding phase information to a qubit How the phase adder circuit is used in quantum circuits 196 200 Using Quantum Fourier Transform and its inverse Adding numbers using the phase adder Summary Further reading 204 206 207 208 8 Using Hybrid Algorithms - Optimization Using Gate-Based Quantum Computers Technical requirements Representing a binary quadratic function using a phase adder Introduction to QAOA concepts Experimentally validating QAOA concepts 210 210 220 Fine-tuning parameters for QAOA Implementing QAOA for optimization Summary Further reading 230 236 239 240 224 Running QAOA on Simulators and Amazon Braket Devices Technical requirements Further QAOA considerations 242 242 Benchmarking QAOA on Amazon Braket devices 253 Optimizing a 34x34 matrix 258 262 Optimizing a 38x38 sparse matrix Full QAOA hybrid algorithm using a classical parameter optimizer Multiple-step parameter optimization in QAOA Optimizing an 11x11 matrix 242 Summary of results 251 Summarv У Further reading Concluding section 2 253 268 269 269 270
Table of Contents Section 3: Real-World Use Cases 10 Amazon Braket Hybrid Jobs, PennyLane, and other Braket Features Technical requirement 276 Utilizing Amazon Braket Hybrid Jobs 276 Permissions Using Amazon Braket Hybrid Jobs A QAOA example using Amazon Braket Hybrid Jobs Job Control Code Job Source Module Xanadu PennyLane Calling Amazon Braket devices from PennyLane 277 278 281 282 286 288 288 Using PennyLane within Amazon Braket Hybrid Jobs Xanadu Borealis IBM Qiskit Other Amazon Braket Hybrid Jobs features Controlling the region of the environment Hardware configuration Multiple parallel device execution Debugging failed jobs Containers Summary Further reading 289 289 289 290 290 290 290 290 291 292 292 11 Single-Objective Optimization Use Case Technical requirements 296 Introduction to the knapsack problem 296 Visualizing the knapsack problem 297 QUBO formulation for the knapsack problem 302 Implementing the knapsack QUBO in code Stitching the QUBO matrices together Getting results from different QUBO samplers Using the probabilistic sampler 305 313 316 317 Running the knapsack problem on a D-Wave device Running the knapsack problem on Amazon Braket simulator SVI Running the knapsack optimization problem on a Rigetti Aspen 11 device Running on a Rigetti Aspen M-l device A process for solving constrained optimization problems Summary Further reading 326 328 331 332 333 334 335 xiii
xiv Table of Contents 12 Multi-Objective Optimization Use Case Technical requirements Looking into a mock inventory management problem Setting up the multi-objective problem Evaluating the best product mix based on scenario A Determining the conflict based on the opposing objectives Evaluating the results with the probabilistic solver 338 338 338 341 347 347 Evaluating the optimal values using the D-Wave annealer Determining a better global solution 359 Evaluating with the classical probabilistic solver Evaluating the best solution using D-Wave Other Books You May Enjoy 361 365 Summary 375 Further reading 375 Concluding section 3 377 Appendix - Knapsack BQM Derivation Index 353 |
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| spelling | Khan, Alex ca. 20./21. Jh. Verfasser (DE-588)1292081325 aut Quantum computing experimentation with Amazon Braket explore Amazon Braket quantum computing to solve combinatorial optimization problems Alex Khan 1st edition Birmingham, UK Packt Publishing Ltd. 2022 xxiii, 397 Seiten Illustrationen, Diagramme txt rdacontent n rdamedia nc rdacarrier Description based on print version record Amazon Braket is a cloud-based pay-per-use platform for executing quantum algorithms on cutting-edge quantum computers and simulators. It is ideal for developing robust apps with the latest quantum devices. With this book, you'll take a hands-on approach to learning how to take real-world problems and run them on quantum devices. You'll begin with an introduction to the Amazon Braket platform and learn about the devices currently available on the platform, their benefits, and their purpose. Then, you'll review key quantum concepts and algorithms critical to converting real-world problems into a quantum circuit or binary quadratic model based on the appropriate device and its capability. The book also covers various optimization use cases, along with an explanation of the code. Finally, you'll work with a framework using code examples that will help to solve your use cases with quantum and quantum-inspired technologies. Later chapters cover custom-built functions and include almost 200 figures and diagrams to visualize key concepts. You'll be able to scan the capabilities provided by Amazon Braket and explore the functions to adapt them for specific use cases. By the end of this book, you'll have the tools to integrate your current business apps and AWS data with Amazon Braket to solve constrained and multi-objective optimization problems. Quantencomputer (DE-588)4533372-5 gnd rswk-swf Amazon Web Services Quantum computing Cloud computing Web services Informatique quantique Infonuagique Services Web Electronic books Quantencomputer (DE-588)4533372-5 s DE-604 1800565267 Digitalisierung UB Passau - ADAM Catalogue Enrichment application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=034146649&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
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| title | Quantum computing experimentation with Amazon Braket explore Amazon Braket quantum computing to solve combinatorial optimization problems |
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| title_full | Quantum computing experimentation with Amazon Braket explore Amazon Braket quantum computing to solve combinatorial optimization problems Alex Khan |
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