Verifiable One-Time Programs Enable Quantum-Assisted Secure Computation ∞ Research

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Briefing

The paper addresses the significant challenge that most proposed quantum internet applications demand sophisticated quantum resources currently beyond reach. It introduces Verifiable One-Time Programs (Ver-OTPs), a novel primitive allowing a receiver to non-interactively and privately verify an ephemeral program’s integrity. By combining Ver-OTPs with multi-key homomorphic encryption, the research constructs Open Secure Computation (OSC), a framework enabling critical single-round applications like atomic proposes for consensus protocols, thereby establishing a new paradigm for quantum-assisted cryptography achievable with near-term quantum technology.

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Context

Before this research, the vision of a quantum internet was largely constrained by the requirement for advanced, fault-tolerant quantum computing, limiting practical application to basic quantum key distribution. While one-time programs (OTPs) offered a pathway to secure computation using simpler quantum states, their practical utility was hampered by the inability to verify their well-formedness without compromising privacy or requiring complex interactive protocols, leaving a gap in deploying quantum-assisted secure computation in real-world scenarios.

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Analysis

The core innovation lies in Verifiable One-Time Programs (Ver-OTPs), a new primitive that fundamentally transforms how ephemeral quantum programs can be used. Unlike previous one-time programs, Ver-OTPs incorporate a non-interactive verification mechanism, allowing a party to confirm the program’s integrity and adherence to publicly known data without revealing any secret program-specific information. This is achieved by leveraging classical cryptographic primitives, including non-interactive zero-knowledge arguments of knowledge, commitment schemes, garbled circuits, and secret sharing schemes, alongside minimal single-qubit quantum states.

The paper then utilizes these Ver-OTPs, in conjunction with multi-key homomorphic encryption, to construct Open Secure Computation (OSC), a framework for secure, single-round multi-party computations. This approach differs from prior methods by making quantum-assisted secure computation practical with current or near-term quantum hardware, rather than relying on distant fault-tolerant quantum systems.

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Parameters

Core Concepts ∞ Verifiable One-Time Programs (Ver-OTPs), Open Secure Computation (OSC)
Key Components ∞ Single-qubit states, Multi-key homomorphic encryption (MHE), Classical cryptographic primitives
Primary Applications ∞ Single-round sealed-bid auctions, Atomic proposes for consensus protocols, Differentially private statistical aggregation
Quantum Requirement ∞ Minimal (single-qubit states)
Authors ∞ Lev Stambler

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Outlook

This research opens significant avenues for quantum-assisted cryptography, shifting the focus from distant fault-tolerant quantum computers to practical applications with near-term quantum technology. Future work will likely explore the optimization and broader applicability of Ver-OTPs and OSC across various secure multi-party computation scenarios, potentially leading to the development of more robust and private blockchain consensus mechanisms and decentralized finance protocols within the next 3-5 years. The minimal quantum resource requirement suggests immediate experimental implementations and further theoretical exploration into the interplay between classical and quantum cryptographic primitives.

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Verdict

This research fundamentally redefines the feasibility of quantum-assisted secure computation, providing practical primitives that bridge the gap between theoretical quantum advantage and deployable blockchain applications.

Signal Acquired from ∞ arxiv.org