On the Security of Quantum Cryptography Against Collective Attacks

Abstract

We present strong attacks against quantum key distribution schemes which use quantum memories and quantum gates to attack directly the final key. We analyze a specific attack of this type, for which we find the density matrices available to the eavesdropper and the optimal information which can be extracted from them. We prove security against this attack and discuss security against any attack allowed by the rules of quantum mechanics.

10 pages, RevTeX. New version. To be published in Phys. Rev. Lett

References in corpus (3)

• Quantum privacy amplification and the security of quantum cryptography over noisy channels
• Quantum Cryptographic Network based on Quantum Memories
• The Parity Bit in Quantum Cryptography

Cited by in corpus (52)

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• The Security of Practical Quantum Key Distribution
• Unconditional Security Of Quantum Key Distribution Over Arbitrarily Long Distances
• An information-theoretic security proof for QKD protocols
• Security in Quantum Cryptography
• A de Finetti representation theorem for infinite dimensional quantum systems and applications to quantum cryptography
• Symmetry implies independence
• Security of Quantum Key Distribution with Entangled Photons Against Individual Attacks
• Unconditional Security of Practical Quantum Key Distribution
• Long-distance quantum key distribution secure against coherent attacks
• Quantum protocols for anonymous voting and surveying
• Fidelity balance in quantum operations
• Why Quantum Bit Commitment And Ideal Quantum Coin Tossing Are Impossible
• Composability in quantum cryptography
• A de Finetti representation for finite symmetric quantum states
• Attacks on practical quantum key distribution systems (and how to prevent them)
• Quantum Cryptography without Public Announcement of Bases
• A Proof of the Security of Quantum Key Distribution
• Fidelity trade-off for finite ensembles of identically prepared qubits
• Full security of quantum key distribution from no-signaling constraints
• A simple proof of the unconditional security of quantum key distribution
• The impossibility of non-signaling privacy amplification
• Unconditional security in Quantum Cryptography
• Robustness of quantum key distribution with discrete and continuous variables to channel noise
• Min-entropy and quantum key distribution: non-zero key rates for "small" numbers of signals
• Attacking quantum key distribution with single-photon two-qubit quantum logic
• Unidimensional continuous-variable measurement-device-independent quantum key distribution
• Composable security against collective attacks of a modified BB84 QKD protocol with information only in one basis
• Second-order coding rates for key distillation in quantum key distribution
• Eavesdropper's Optimal Information in Variations of Bennett-Brassard 1984 Quantum Key Distribution in the Coherent Attacks
• Security Proof Against Collective Attacks for an Experimentally Feasible Semiquantum Key Distribution Protocol
• Quantum Key Distribution Using Quantum Faraday Rotators
• Secret key rates for coherent attacks
• Layer-Wise Security Framework and Analysis for the Quantum Internet
• Security Against Collective Attacks of a Modified BB84 QKD Protocol with Information only in One Basis
• Proposal of an experimental scheme for realising a translucent eavesdropping on a quantum cryptographic channel
• Collective attack free controlled quantum key agreement without quantum memory
• A simple relation of guessing probability in quantum key distribution
• Unconditional Security of Practical Quantum Key Distribution
• Secure Composition of Quantum Key Distribution and Symmetric Key Encryption
• Multiplexing scheme for simplified entanglement-based large-alphabet quantum key distribution
• Information Geometric Security Analysis of Differential Phase Shift Quantum Key Distribution Protocol
• Quantum-Space Attacks
• Complete Quantum Communication with Security
• Quantum Key Recycling with Optimal Key Recycling Rate based on Error Rate
• A cost-effective measurement-device-independent quantum key distribution system for quantum networks
• Disguising quantum channels by mixing and channel distance trade-off
• Perfectly secure cipher system
• A simple unbreakable code
• A Four-Party Quantum Secret-Sharing Scheme based on Grover's Search Algorithm
• Noised based cipher system
• Security of deterministic key distribution with higher-dimensional systems