Quantum Cryptography with Imperfect Apparatus

Abstract

Quantum key distribution, first proposed by Bennett and Brassard, provides a possible key distribution scheme whose security depends only on the quantum laws of physics. So far the protocol has been proved secure even under channel noise and detector faults of the receiver, but is vulnerable if the photon source used is imperfect. In this paper we propose and give a concrete design for a new concept, {\it self-checking source}, which requires the manufacturer of the photon source to provide certain tests; these tests are designed such that, if passed, the source is guaranteed to be adequate for the security of the quantum key distribution protocol, even though the testing devices may not be built to the original specification. The main mathematical result is a structural theorem which states that, for any state in a Hilbert space, if certain EPR-type equations are satisfied, the state must be essentially the orthogonal sum of EPR pairs.

7 pages (To appear in FOCS 98)

References in corpus (2)

• The Parity Bit in Quantum Cryptography
• Optimal Eavesdropping in Quantum Cryptography. II. Quantum Circuit

Cited by in corpus (38)

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• Quantum Random Number Generators
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• Introduction to the book "Quantum Theory: Informational Foundations and Foils"
• Quasi-quantization: classical statistical theories with an epistemic restriction
• Memory Attacks on Device-Independent Quantum Cryptography
• The completeness of quantum theory for predicting measurement outcomes
• Fully device independent Conference Key Agreement
• Measurement-device-independent quantum cryptography
• Unconditionally secure device-independent quantum key distribution with only two devices
• Genuine multipartite nonlocality is intrinsic to quantum networks
• The Link between Entropic Uncertainty and Nonlocality
• Device-independent randomness generation from several Bell estimators
• qkdSim: An experimenter's simulation toolkit for QKD with imperfections, and its performance analysis with a demonstration of the B92 protocol using heralded photon
• Narratives of Quantum Theory in the Age of Quantum Technologies
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• Heralded amplification of photonic qubits
• Semi-definite programming and quantum information
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• Device-Independent Quantum Key Distribution Based on the Mermin-Peres Magic Square Game
• Recycled entanglement detection by arbitrarily many sequential and independent pairs of observers
• A Practical Trojan Horse for Bell-inequality-based Quantum Cryptography
• Experimental quantum key distribution secure against malicious devices
• Improved device-independent randomness expansion rates using two sided randomness
• Upper bounds on device-independent quantum key distribution rates in static and dynamic scenarios
• Security of quantum key distribution with imperfect devices
• Directly Characterizing the Coherence of Quantum Detectors by Sequential Measurement
• Interplay among entanglement, measurement incompatibility, and nonlocality
• Experimental certification of more than one bit of quantum randomness in the two inputs and two outputs scenario
• Keyring models: an approach to steerability
• Two convergent NPA-like hierarchies for the quantum bilocal scenario
• Undetectable Werner states using linear Bell inequalities
• Tight Bound on Randomness for Violating the CHSH Inequality
• The Binary-Outcome Detection Loophole
• Certifying classes of $d$-outcome measurements with quantum steering
• How Likely Are You to Observe Non-locality with Imperfect Detection Efficiency and Random Measurement Settings?