Titlebook: Quantum Circuit Simulation; George F. Viamontes,Igor L. Markov,John P. Hayes Book 2009 Springer Science+Business Media B.V. 2009 Matrix.Qu

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Gate Modeling and Circuit Simulation,athematical modeling and simulation. Detailed calculations of physical parameters are employed to characterize individual circuit elements with respect to environmental conditions and manufacturing variations, but are difficult to scale to very large integrated circuits. In this context, a compact m

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Hypomania

Quantum Information Processing,e compare and contrast the concepts presented here with their classical analogues discussed in Chapter 2. First, we define the basic types of quantum gates, and then show how multiple gates can be combined to create quantum circuits. In each case, we try to connect the quantum circuit concepts to th

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Generic Circuit Simulation Techniques,lication, .-blocked simulation, the use of tensor networks, Vidal‘s “slightly entangled” technique, and a few others. Each approach has advantages that makes it especially well-suited to certain specific classes of quantum circuits. We also consider programming environments for quantum computing, mo

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State-Vector Simulation with Decision Diagrams, Section 2.2. As will be seen, QuIDDs allow simulations of .-qubit systems to achieve runtime and memory complexities that range from constant-time to exponential, and the worst case is not typical for structured circuits arising in practical applications. Later in the chapter, benchmark results wit

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Checking Equivalence of States and Circuits,uit‘s implementation is functionally equivalent to its specification. In addition, the equivalence of different versions of the same (sub-)circuit must be checked throughout the complex computer-aided design process. Traditional combinational equivalence checking is solved in practice with high-perf

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Improving QuIDD-based Simulation,rix multiplication, the tensor product, and the partial trace, which are key operations for simulation with and without errors. First, we describe algorithms for efficiently applying controlled- and 1-qubit gates to QuIDD state vectors. The simulator uses these algorithms when processing particular

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Closing Remarks,s can be simulated quickly, but are unlikely to exhibit quantum speed-ups. To this end, quantum circuit simulation often suggests certain limitations of quantum circuits and algorithms..Quantum simulation can also aid in quantum engineering efforts by evaluating and sanity-checking small versions of