A photonic circuit is compiled from gates

PHYSICS · Subjective · Fermi University Physics · Quantum Information & Technology · The quantum circuit model and quantum algorithms · The quantum circuit model and quantum algorithms

Quantum Information and Technology, Ch The quantum circuit model

Problem

A photonic circuit is compiled from 200200 gates. Each compiled gate VjV_j differs from its ideal target unitary UjU_j by operator-norm error E(Uj,Vj)=5×10−5E(U_j,V_j)=5\times10^{-5}. Using the subadditivity bound E(Um⋯U1, Vm⋯V1)≤∑j=1mE(Uj,Vj)E(U_m\cdots U_1,\,V_m\cdots V_1)\le\sum_{j=1}^m E(U_j,V_j), find the guaranteed bound on the operator-norm error of the whole 200200-gate circuit.

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