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QUANTUM COMPUTING, 1 - Coggle Diagram

- - - - Quantum Logic Circuits
        
        Decision Diagrams
        
        Analysis and Synthesis of Quantum Circuits by Using Quantum Decision Diagrams(Abdollahi, Pedram; 2006) :
        
        Quantum Logic Synthesis
        
        QDD-based Functional Decomposition
        
        Quantum Factored Forms
        
        Quantum Decision Diagrams
        
        Introduction
        
        Quantum Logic Synthesis (Background/Context)
        
        previous attempts at reversible logic circuit synthesis
        
        6 more items...
        
        why are these insufficient?
        
        Problem: synthesizing a general quantum operation
        
        The paper presents a decision diagram based representation of quantum circuits
        
        quantum operators are represented by a complex unitary matrix
        
        the space of quantum systems is exponentially larger than the space of clasical systems
    - - General-purpose Quantum Computers
        
        IBM
        
        Google
      - Quantum Annhealing
  - - - Weak Simulation
        
        Just Like the Real Thing:Fast Weak Simulation of Quantum Computation(Himlich, Markov, Wille; 2018)
        
        Mimicking Actual Quantum Computers
        
        The problem: producing an output sample on a conventional computer that is statistically indistinguishable from the outputs of a quantum computer
        
        Advanced Weak Simulation
        
        statistically identical output samples through:
        
        Efficient Sampling
        
        Decision Diagrams
        
        avoids exponentially expanding matrices
        
        Empirical Validation