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Expressions for the resulting process matrices are discussed in Section 3.
The process matrices,, and characterize the C-NOT, Hadamard, T and gates respectively.
The proposed architecture is able to process matrices and vectors with arbitrary sizes.
It now becomes apparent that once the process matrices of all contributing gates in a circuit have been computed conclusively, we limit the cost of finding and thus of process matrices for larger quantum circuits.
Examples are given of process matrices obtained by a Monte Carlo wavefunction analysis of Rydberg blockade gates in neutral atoms.
To demonstrate the method's efficiency at calculating process matrices of large systems we considered the three-qubit Toffoli gate.
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The coefficients constitute the process matrix χ.
The 'identity' process matrix indicates an idle qubit.
In Figure 3(c) we show the trace distance between a simulated C-NOT gate process matrix and the ideal, unitary process matrix.
The top dashed (solid) curve in Figure 4 illustrates trace distance between the full circuit (concatenated ) process matrix to the ideal process matrix, plotted as a function of.
The trace distance between the process matrix resulting from simulation and the ideal process matrix is shown as the lower, black curve in Figure 4.
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