Delegating Multi-Party Quantum Computations vs. Dishonest Majority in Two Quantum Rounds

التفاصيل البيبلوغرافية
العنوان: Delegating Multi-Party Quantum Computations vs. Dishonest Majority in Two Quantum Rounds
المؤلفون: Kapourniotis, Theodoros, Kashefi, Elham, Music, Luka, Ollivier, Harold
سنة النشر: 2021
المجموعة: Quantum Physics
مصطلحات موضوعية: Quantum Physics
الوصف: Multi-Party Quantum Computation (MPQC) has attracted a lot of attention as a potential killer-app for quantum networks through it's ability to preserve privacy and integrity of the highly valuable computations they would enable. Contributing to the latest challenges in this field, we present a composable protocol achieving blindness and verifiability even in the case of a single honest client. The security of our protocol is reduced, in an information-theoretically secure way, to that of a classical composable Secure Multi-Party Computation (SMPC) used to coordinate the various parties. Our scheme thus provides a statistically secure upgrade of such classical scheme to a quantum one with the same level of security. In addition, (i) the clients can delegate their computation to a powerful fully fault-tolerant server and only need to perform single qubit operations to unlock the full potential of multi-party quantum computation; (ii) the amount of quantum communication with the server is reduced to sending quantum states at the beginning of the computation and receiving the output states at the end, which is optimal and removes the need for interactive quantum communication; and (iii) it has a low constant multiplicative qubit overhead compared to the single-client delegated protocol it is built upon. The main technical ingredient of our paper is the bootstraping of the MPQC construction by Double Blind Quantum Computation, a new composable resource for blind multiparty quantum computation, that demonstrates the surprising fact that the full protocol does not require verifiability of all components to achieve security.
Comment: The proposed H/I-gadget (sec 5.1.2) turned out being insecure because the corrections to apply to the output state depended on the outcome and the desired operation (fig.6). This construction is now superseded by "Asymmetric Quantum Secure Multi-Party Computation With Weak Clients Against Dishonest Majority" (arxiv:2303.08865)
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/2102.12949
رقم الأكسشن: edsarx.2102.12949
قاعدة البيانات: arXiv