Post-Quantum Security

Definition ∞ Post-Quantum Security refers to cryptographic algorithms and systems designed to withstand attacks from quantum computers. As quantum computing capabilities advance, current encryption methods, which rely on the computational difficulty of factoring large numbers or solving discrete logarithm problems, become vulnerable. Post-quantum cryptography aims to develop new mathematical problems that are intractable even for quantum algorithms, ensuring the long-term security of digital communications and assets.
Context ∞ The development and standardization of Post-Quantum Security algorithms are subjects of significant research and regulatory attention. News often highlights the progress of cryptographic standardization bodies, such as NIST, and the potential timeline for transitioning critical infrastructure to quantum-resistant cryptography. The implications for blockchain security, particularly the protection of private keys and transaction integrity, are a primary concern for the digital asset industry.

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→Proof System Efficiency

→MPC Primitives

→Computational Integrity

Vector Oblivious Linear Evaluation Unlocks Efficient Zero-Knowledge Proof Systems

VOLE-ZK leverages MPC primitives to construct highly efficient, CPU-friendly zero-knowledge proofs for complex computation.

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→Adversarial Threat Models

→Verifiable Systems

→Formal Security Analysis

Formalizing Practical Security Risks in Zero-Knowledge Proof Implementations

This work shifts focus from theoretical SNARK security to a taxonomy of 141 real-world vulnerabilities, enabling robust, end-to-end ZK system design.

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→Post-Quantum Security

→Rollup Technology

→Constraint Systems

Plonky2-FRI Enables Scalable Zero-Knowledge Proof for Cryptographic Hashing Verification

This research integrates Plonky2 with FRI to generate succinct proofs for SHA-256 integrity, fundamentally decoupling computational work from verification cost.

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→Rollup Technology

→Computational Complexity

→Post-Quantum Security

Orion Achieves Optimal ZKP Prover Time with Polylogarithmic Proof Size

This new ZKP argument system achieves the theoretical optimum of linear prover time and succinct proof size, fundamentally unlocking scalable on-chain verification.

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→Non-Interactive Proofs

→Hash Function Security

→Computational Integrity

Transparent Succinct Proofs Eliminate Trusted Setup and Large Proof Size

A novel Vector Hash Commitment achieves constant-size, transparent proofs, resolving the critical trade-off between ZK-SNARK succinctness and ZK-STARK setup-free security.

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→Quantum Resistant Computation

→Information Theory

→Sublinear Verifier Time

Post-Quantum Polynomial Commitments Enable Scalable, Quantum-Resistant Blockchain Architectures

This lattice-based polynomial commitment scheme achieves post-quantum security and succinct proof size, fundamentally unlocking quantum-resistant ZK-rollups and data availability.

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→Non-Interactive Proofs

→Distributed Systems

→Polylogarithmic Verifier

Vanishing Polynomial Commitments Enable Post-Quantum Succinct Arguments and Recursive Folding

A novel commitment scheme utilizing vanishing polynomials unlocks the first lattice-based linear-time prover and polylogarithmic verifier succinct arguments.

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→LWE Problem

→Quantum Completeness

→Quantum Advantage

Zero-Knowledge Proofs of Quantumness Secure Quantum Computing Verification

ZKPoQ formalizes quantum completeness and classical soundness with a verifier-side zero-knowledge argument, preventing classical verifiers from exploiting quantum provers' secrets.

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→Trustless Auditing

→Hiding Property

→Data Confidentiality

Zero-Knowledge Auditing Secures AI Compliance without Revealing Models

ZKMLOps leverages polynomial commitments to cryptographically prove AI model compliance, resolving the fundamental conflict between privacy and regulatory transparency.

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→Constant Verifier Time

→Prover Complexity

→Data Sharding

FRIDA Enables Transparent Data Availability Sampling with Poly-Logarithmic Proofs

FRIDA uses a novel FRI-based commitment to achieve non-trusted setup data availability sampling, fundamentally improving scalability.