A Note on Quantum-Secure PRPs

We show how to construct pseudorandom permutations (PRPs) that remain secure even if the adversary can query the permutation, both in the forward and reverse directions, on a quantum superposition of inputs. Such quantum-secure PRPs have found numerous applications in cryptography and complexity the...

وصف كامل

التفاصيل البيبلوغرافية
الحاوية / القاعدة:Quantum
المؤلف الرئيسي: Mark Zhandry
التنسيق: مقال
اللغة:الإنجليزية
منشور في: Verein zur Förderung des Open Access Publizierens in den Quantenwissenschaften 2025-04-01
الوصول للمادة أونلاين:https://quantum-journal.org/papers/q-2025-04-08-1696/pdf/
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author Mark Zhandry
author_facet Mark Zhandry
author_sort Mark Zhandry
collection DOAJ
container_title Quantum
description We show how to construct pseudorandom permutations (PRPs) that remain secure even if the adversary can query the permutation, both in the forward and reverse directions, on a quantum superposition of inputs. Such quantum-secure PRPs have found numerous applications in cryptography and complexity theory. Our construction combines a quantum-secure pseudorandom function together with constructions of classical format preserving encryption. By combining known results, we show how to construct quantum-secure PRP in this model whose security relies only on the existence of one-way functions.
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spelling doaj-art-c18cacfe08bd44c6841d46d93774a00a2025-08-20T02:08:44ZengVerein zur Förderung des Open Access Publizierens in den QuantenwissenschaftenQuantum2521-327X2025-04-019169610.22331/q-2025-04-08-169610.22331/q-2025-04-08-1696A Note on Quantum-Secure PRPsMark ZhandryWe show how to construct pseudorandom permutations (PRPs) that remain secure even if the adversary can query the permutation, both in the forward and reverse directions, on a quantum superposition of inputs. Such quantum-secure PRPs have found numerous applications in cryptography and complexity theory. Our construction combines a quantum-secure pseudorandom function together with constructions of classical format preserving encryption. By combining known results, we show how to construct quantum-secure PRP in this model whose security relies only on the existence of one-way functions.https://quantum-journal.org/papers/q-2025-04-08-1696/pdf/
spellingShingle Mark Zhandry
A Note on Quantum-Secure PRPs
title A Note on Quantum-Secure PRPs
title_full A Note on Quantum-Secure PRPs
title_fullStr A Note on Quantum-Secure PRPs
title_full_unstemmed A Note on Quantum-Secure PRPs
title_short A Note on Quantum-Secure PRPs
title_sort note on quantum secure prps
url https://quantum-journal.org/papers/q-2025-04-08-1696/pdf/
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