Application of TLM to Microwave Circuits

Christopoulos, C.; Russer, P.

doi:10.1007/978-3-642-59629-2_19

Cited by 9 publications

(2 citation statements)

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“…The developed quantum computing algorithm is based on the transmission line matrix (TLM) algorithm, which as a unitary time evolution scheme [21,22,28,29] and therefore well suited as the basis for a corresponding quantum computing algorithm. The power of the classical TLM algorithm for the modeling of complex electromagnetic structures already has been demonstrated in literature [9,10].…”

Section: Resultsmentioning

confidence: 98%

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Quantum computing algorithm for electromagnetic field simulation

Sinha

Russer

2009

Quantum Inf Process

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Quantum computing offers new concepts for the simulation of complex physical systems. A quantum computing algorithm for electromagnetic field simulation is presented here. The electromagnetic field simulation is performed on the basis of the Transmission Line Matrix (TLM) method. The Hilbert space formulation of TLM allows us to obtain a time evolution operator for the TLM method, which can then be interpreted as the time evolution operator of a quantum system, thus yielding a quantum computing algorithm. Further, the quantum simulation is done within the framework of the quantum circuit model of computation. Our aim has been to address the design problem in electromagnetics-given an initial condition and a final field distribution, find the structures which satisfy these. Quantum computing offers us the possibility to solve this problem from first principles. Using quantum parallelism we simulate a large number of electromagnetic structures in parallel in time and then try to filter out the ones which have the required field distribution.

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Section: Resultsmentioning

confidence: 98%

“…For the connection operator these turn out to be the two-level permutation matrices,Γ X (m) andΓ Y (n) (see Eqs. [10][11][12][13]. All that is left to be done is to indicate which are the control qubits and which are the target qubits of these multiply-controlled swap gates.…”

Section: Implementation Of the Connection Operatormentioning

confidence: 99%