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• W2960724690 abstract "Coherent errors in a quantum system can, in principle, build up much more rapidly than incoherent errors, accumulating as the square of the number of qubits in the system rather than linearly. I show that only channels dominated by a unitary rotation can display such behavior. A maximally sensitive set of states is a set such that if a channel is capable of quadratic error scaling, then it is present for at least one sequence of states in the set. I show that the GHZ states in the X, Y, and Z bases form a maximally sensitive set of states, allowing a straightforward test to identify coherent errors in a system. This allows us to identify coherent errors in gates and measurements to within a constant fraction of the maximum possible sensitivity to such errors. A related protocol with simpler circuits but less sensitivity can also be used to test for coherent errors in state preparation or if the noise in a particular circuit is accumulating coherently or not." @default.
• W2960724690 created "2019-07-23" @default.
• W2960724690 creator A5006327208 @default.
• W2960724690 date "2019-07-12" @default.
• W2960724690 modified "2023-09-27" @default.
• W2960724690 title "Maximally Sensitive Sets of States" @default.
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• W2960724690 hasPublicationYear "2019" @default.
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