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• W3208204668 abstract "An indistinguishability obfuscator is a polynomial-time probabilistic algorithm that takes a circuit as input and outputs a new circuit that has the same functionality as the input circuit, such that for any two circuits of the same size that compute the same function, the outputs of the indistinguishability obfuscator are indistinguishable. Here, we study schemes for indistinguishability obfuscation for quantum circuits. We present two definitions for indistinguishability obfuscation: in our first definition ((qimathcal {O})) the outputs of the obfuscator are required to be indistinguishable if the input circuits are perfectly equivalent, while in our second definition ((qimathcal {O}_mathbf{D})), the outputs are required to be indistinguishable as long as the input circuits are approximately equivalent with respect to a pseudo-distance D. Our main results provide (1) a computationally-secure scheme for (qimathcal {O}) where the size of the output of the obfuscator is exponential in the number of non-Clifford ((mathsf{T}) gates), which means that the construction is efficient as long as the number of (mathsf{T}) gates is logarithmic in the circuit size and (2) a statistically-secure (qimathcal {O}_mathbf{D},) for circuits that are close to the (k)th level of the Gottesman-Chuang hierarchy (with respect to D); this construction is efficient as long as (k) is small and fixed." @default.
• W3208204668 created "2021-11-08" @default.
• W3208204668 creator A5009154189 @default.
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• W3208204668 date "2021-01-01" @default.
• W3208204668 modified "2023-09-25" @default.
• W3208204668 title "Constructions for Quantum Indistinguishability Obfuscation" @default.
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• W3208204668 doi "https://doi.org/10.1007/978-3-030-88238-9_2" @default.
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