Untelegraphable Encryption and its Applications
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866917902365491200 |
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| author | Champion, Jeffrey Kitagawa, Fuyuki Nishimaki, Ryo Yamakawa, Takashi |
| author_facet | Champion, Jeffrey Kitagawa, Fuyuki Nishimaki, Ryo Yamakawa, Takashi |
| contents | We initiate the study of untelegraphable encryption (UTE), founded on the no-telegraphing principle, which allows an encryptor to encrypt a message such that a binary string representation of the ciphertext cannot be decrypted by a user with the secret key, a task that is classically impossible. This is a natural relaxation of unclonable encryption (UE), inspired by the recent work of Nehoran and Zhandry (ITCS 2024), who showed a computational separation between the no-cloning and no-telegraphing principles. In this work, we define and construct UTE information-theoretically in the plain model. Building off this, we give several applications of UTE and study the interplay of UTE with UE and well-studied tasks in quantum state learning, yielding the following contributions:
- A construction of collusion-resistant UTE from plain secret-key encryption, which we then show denies the existence of hyper-efficient shadow tomography (HEST). By building a relaxation of collusion-resistant UTE, we show the impossibility of HEST assuming only pseudorandom state generators (which may not imply one-way functions). This almost unconditionally answers an open inquiry of Aaronson (STOC 2018).
- A construction of UTE from a one-shot message authentication code in the classical oracle model, such that there is an explicit attack that breaks UE security for an unbounded polynomial number of decryptors.
- A construction of everlasting secure collusion-resistant UTE, where the decryptor adversary can run in unbounded time, in the quantum random oracle model (QROM), and formal evidence that a construction in the plain model is a challenging task. We leverage this construction to show that HEST with unbounded post-processing time is impossible in the QROM.
- Constructions of secret sharing resilient to joint and unbounded classical leakage and untelegraphable functional encryption. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_24189 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Untelegraphable Encryption and its Applications Champion, Jeffrey Kitagawa, Fuyuki Nishimaki, Ryo Yamakawa, Takashi Quantum Physics Cryptography and Security We initiate the study of untelegraphable encryption (UTE), founded on the no-telegraphing principle, which allows an encryptor to encrypt a message such that a binary string representation of the ciphertext cannot be decrypted by a user with the secret key, a task that is classically impossible. This is a natural relaxation of unclonable encryption (UE), inspired by the recent work of Nehoran and Zhandry (ITCS 2024), who showed a computational separation between the no-cloning and no-telegraphing principles. In this work, we define and construct UTE information-theoretically in the plain model. Building off this, we give several applications of UTE and study the interplay of UTE with UE and well-studied tasks in quantum state learning, yielding the following contributions: - A construction of collusion-resistant UTE from plain secret-key encryption, which we then show denies the existence of hyper-efficient shadow tomography (HEST). By building a relaxation of collusion-resistant UTE, we show the impossibility of HEST assuming only pseudorandom state generators (which may not imply one-way functions). This almost unconditionally answers an open inquiry of Aaronson (STOC 2018). - A construction of UTE from a one-shot message authentication code in the classical oracle model, such that there is an explicit attack that breaks UE security for an unbounded polynomial number of decryptors. - A construction of everlasting secure collusion-resistant UTE, where the decryptor adversary can run in unbounded time, in the quantum random oracle model (QROM), and formal evidence that a construction in the plain model is a challenging task. We leverage this construction to show that HEST with unbounded post-processing time is impossible in the QROM. - Constructions of secret sharing resilient to joint and unbounded classical leakage and untelegraphable functional encryption. |
| title | Untelegraphable Encryption and its Applications |
| topic | Quantum Physics Cryptography and Security |
| url | https://arxiv.org/abs/2410.24189 |