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Fixstars Amplify SDK documentation
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πŸš€ Get Started

  • What is Amplify SDK?
  • Amplify SDK Features
  • Quickstart

🌱 Basic

  • 1. Amplify SDK Overview
  • 2. Creating Decision Variables
  • 3. Polynomials and Objective Functions
  • 4. Constructing Constraints
  • 5. Model Formulation
  • 6. Solver Client
  • 7. Solving a Combinatorial Optimization Problem

🌻 Advanced

  • Model Conversions
    • Variable Conversion and Degree Reduction
    • Constraints and Penalty Functions
    • Graph Embedding
  • Evaluation of Execution Results
  • Execution Time information
  • Client details
    • Fixstars Amplify
    • D-Wave Systems
    • TOSHIBA
    • Fujitsu
    • Hitachi
    • Gurobi
    • Quantum Computers
  • Serial Solver Execution
  • Parallel Solver Execution
  • Objective Function with a Coefficient Matrix
  • Speedup Formulation
  • File input/output of the model

🧩 Examples

  • Subset Sum Problem
  • Max-Cut Problem
  • Traveling Salesperson Problem
  • Quadratic Assignment Problem

πŸ’‘ Tips

  • Type Hint Support
  • Proxy Server Settings
  • Formatted Formula View
  • Migrating from Previous Versions
  • Formulation Benchmarks

🎺 Cloud Solvers

  • Fixstars Amplify AE
    • Introduction to the latest version
    • Solving Algorithms
    • Advanced Usage
    • Performance of Amplify AE
    • Changelog
    • API Reference

βš—οΈ Quantum

  • Amplify Quantum
  • Quickstart
  • List of Supported Devices
    • IBM Quantum
    • Qiskit Aer Simulator
    • Qulacs Simulator
    • Amazon Braket Simulator
    • AQT
    • IonQ
    • IQM
    • Rigetti
    • QUDORA
    • OQTOPUS Cloud
  • List of Supported Algorithms
    • QAOA / Constrained QAOA
    • Recursive QAOA
  • Algorithm Details
    • QAOA Algorithm
    • Constrained QAOA Algorithm
    • Recursive QAOA Algorithm

πŸ”Œ Black-Box Optimization

  • Amplify-BBOpt

πŸ“– Reference

  • Changelog
  • API Reference
    • Algebra
      • Poly
      • PolyArray
      • Matrix
      • Variable
      • VariableGenerator
      • sum
      • where
      • einsum
      • dot
      • matmul
      • newaxis
      • VariableType
      • N
      • Dim
      • Dim0
      • Dim1
      • Dim2
      • Dim3
      • Dim4
    • Constraint
      • Constraint
      • ConstraintList
      • equal_to
      • one_hot
      • less_equal
      • greater_equal
      • clamp
      • domain_wall
      • PenaltyFormulation
    • Model
      • Model
      • IntegerEncodingMethod
      • RealEncodingMethod
      • QuadratizationMethod
    • Graph Embedding
      • Graph
      • embed
      • to_edges
      • EmbeddingMethod
    • Client
      • BaseClient
      • AmplifyAEClient
      • FixstarsClient
      • DWaveSamplerClient
      • LeapHybridSamplerClient
      • LeapHybridCQMSamplerClient
      • FujitsuDA4Client
      • FujitsuDA3cClient
      • ToshibaSQBM2Client
      • GurobiClient
      • HitachiClient
      • AcceptableDegrees
      • Degree
      • ObjectiveFormat
    • Solve
      • Result
      • Values
      • solve
      • parallel_solve
    • Misc.
      • set_num_threads
      • load_lp
      • save_lp
      • load_qplib
      • save_qplib
      • set_seed
      • set_printoptions
      • __version__
    • Quantum
      • Client
        • QuantumBaseClient
        • AerClient
        • AQTClient
        • BraketSimulatorClient
        • IBMClient
        • IonQClient
        • IQMClient
        • QulacsClient
        • RigettiClient
        • QUDORAClient
        • OqtopusClient
      • Algorithm
        • QAOA
        • QAOAType
        • QAOAResult
        • QAOADurations
        • QAOAHistoryItem
        • RQAOA
        • RQAOAType
        • RQAOAResult
        • RQAOADurations
        • RQAOAHistoryItem
        • NormalElimination
        • UnintentionalElimination
        • QuantumAlgoProtocol
      • Minimize
        • ScipyMinimize
        • ScipyMinimizeOptions
        • ScipyMinimizeResult
        • NoOpMinimize
        • NoOpMinimizeResult
        • MinimizeProtocol
        • MinimizeResult
      • Sampler
        • SamplerProtocol
        • SamplingDurations
        • AerDeviceType
        • QiskitJobMeta
        • QulacsJobMeta
        • BraketJobMeta
      • Circuit
        • QiskitCircuit
        • QulacsCircuit
      • Misc.
        • IsingSeqFreqList
    • Deprecated
      • BinaryPoly
      • IsingPoly
      • BinaryPolyArray
      • IsingPolyArray
      • BinarySymbolGenerator
      • IsingSymbolGenerator
      • BinaryMatrix
      • IsingMatrix
      • QuadraticModel
      • BinaryQuadraticModel
      • IsingQuadraticModel
      • Solver
      • SolverResult
      • SolverSolution
      • SymbolGenerator
      • sum_poly
      • decode_solution
      • penalty
      • InequalityFormulation
  • Index
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Dim4ΒΆ

Dim4ΒΆ

A 4D PolyArray.

alias of tuple[N, N, N, N]

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