[Resource Topic] 2025/1842: Collusion-Resistant Quantum Secure Key Leasing Beyond Decryption

Welcome to the resource topic for 2025/1842

Title:
Collusion-Resistant Quantum Secure Key Leasing Beyond Decryption

Authors: Fuyuki Kitagawa, Ryo Nishimaki, Nikhil Pappu

Abstract:

Secure key leasing (SKL) enables the holder of a secret key for a
cryptographic function to temporarily lease the key using quantum
information. Later, the recipient can produce a deletion
certificate—a proof that they no longer have access to the secret
key. The security guarantee ensures that even a malicious
recipient cannot continue to evaluate the function, after producing
a valid deletion certificate.

Most prior work considers an adversarial recipient that obtains a single
leased key, which is insufficient for many applications. In
the more realistic collusion-resistant setting, security must
hold even when polynomially many keys are leased (and subsequently
deleted). However, achieving collusion-resistant SKL from standard
assumptions remains poorly understood, especially for
functionalities beyond decryption.

We improve upon this situation by introducing new pathways for
constructing collusion-resistant SKL. Our main contributions
are as follows:

  • A generalization of quantum-secure collusion-resistant traitor
    tracing called multi-level traitor tracing (MLTT), and a compiler
    that transforms an MLTT scheme for a primitive X into a
    collusion-resistant SKL scheme for primitive X.

  • The first bounded collusion-resistant SKL scheme for PRFs, assuming
    LWE.

  • A compiler that upgrades any single-key secure SKL scheme for
    digital signatures into one with unbounded collusion-resistance,
    assuming OWFs.

  • A compiler that upgrades collusion-resistant SKL schemes with
    classical certificates to ones having verification-query resilience,
    assuming OWFs.

ePrint: https://eprint.iacr.org/2025/1842

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