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• W2801841218 abstract "We investigate the problem of bounding the quantum process fidelity given bounds on the fidelities between target states and the action of a process on a set of pure input states. We formulate the problem as a semidefinite program and prove convexity of the minimum process fidelity as a function of the errors on the output states. We characterize the conditions required to uniquely determine a process in the case of no errors and derive a lower bound on its fidelity in the limit of small errors for any set of input states satisfying these conditions. We then consider sets of input states whose one-dimensional projectors form a symmetric positive operator-valued measure (POVM). We prove that for such sets the minimum fidelity is bounded by a linear function of the average output state error. A symmetric POVM with minimal number of elements contains $d+1$ states, where $d$ is the Hilbert space dimension. Our bounds applied to such states provide an efficient method for estimating the process fidelity without the use of full process tomography." @default.
• W2801841218 created "2018-05-17" @default.
• W2801841218 creator A5041610548 @default.
• W2801841218 creator A5079746726 @default.
• W2801841218 date "2018-11-21" @default.
• W2801841218 modified "2023-09-26" @default.
• W2801841218 title "Quantum process fidelity bounds from sets of input states" @default.
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• W2801841218 doi "https://doi.org/10.1103/physreva.98.052326" @default.
• W2801841218 hasPubMedCentralId "https://www.ncbi.nlm.nih.gov/pmc/articles/7727744" @default.
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• W2801841218 hasPublicationYear "2018" @default.
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