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The algorithm inputs are <math> A_1 ... A_m, C , b_1 ... b_m</math> and parameters regarding the solution's [[Trace class|trace]], precision and optimal value (the objective function's value at the optimal point).
The quantum algorithm<ref>{{cite arxiv|last1=Brandao|first1=Fernando G. S. L.|last2=Svore|first2=Krysta|author2-link= Krysta Svore |title=Quantum Speed-ups for Semidefinite Programming|eprint=1609.05537|class=quant-ph|year=2016}}</ref> consists of several iterations. In each iteration, it solves a [[Mathematical optimization#Feasibility problem|feasibility problem]], namely, finds any solution satisfying the following conditions (giving a threshold <math>t</math>):
:<math>
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