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arXiv:quant-ph/0109132 · Physical Review Letters

Multiphoton Entanglement Concentration and Quantum Cryptography

Gabriel A. Durkin, Christoph Simon, Dik Bouwmeester

Published Apr 17, 2002• 71 citations
arXivHTMLPDF

Abstract

Multiphoton states from parametric down-conversion can be entangled both in polarization and photon number. Maximal high-dimensional entanglement can be concentrated postselectively from these states via photon counting. This makes them natural candidates for quantum key distribution, where the presence of more than one photon per detection interval has up to now been considered undesirable. We propose a simple multiphoton cryptography protocol for the case of low losses.

DOI
10.1103/physrevlett.88.187902

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Multiphoton states from parametric down-conversion can be entangled both in polarization and photon number. Maximal high-dimensional entanglement can be concentrated postselectively from these states via photon counting. This makes them natural candidates for quantum key distribution, where the presence of more than one photon per detection interval has up to now been considered undesirable. We propose a simple multiphoton cryptography protocol for the case of low losses.
Multiphoton entanglement in the same polarization has been theoretically shown to be obtainable by type-I spontaneous parametric down-conversion (SPDC), which can generate bright pulses more easily than type-II SPDC. A quantum cryptographic protocol utilizing photon number coding of the detected type-I entangled multiphotons is described. The information capacity versus photon number is calculated after considering the transmission loss inside the optical fiber and the detector efficiency, considering possible attacks to the scheme. The result thus achieved compares very favorably with all other schemes employing entanglement.
Multiphoton entanglement in the same polarization has been shown theoretically to be obtainable by type-I spontaneous parametric downconversion (SPDC), which can generate bright pulses more easily than type-II SPDC. A new quantum cryptographic protocol utilizing polarization pairs with the detected type-I entangled multiphotons is proposed as quantum key distribution. We calculate the information capacity versus photon number corresponding to polarization after considering the transmission loss inside the optical fiber, the detector efficiency, and intercept-resend attacks at the level of channel error. The result compares favorably with all other schemes employing entanglement.
Multiphoton entanglement in the same polarization has been theoretically shown to be obtainable by type‐I spontaneous parametric down‐conversion (SPDC), which can generate bright pulses more easily than type‐II SPDC. A new quantum cryptographic protocol utilizing polarization pairs with the detected type‐I entangled multiphotons is proposed as quantum key distribution. The information capacity versus photon number corresponding to polarization is calculated after considering the transmission loss inside the optical fiber, the detector efficiency and intercept‐resend attacks under the level of channel error. This result thus achieved compares very favorably with all other schemes employing entanglement.
Abstract Multiphoton entanglement is the basis of many quantum communication schemes, quantum cryptographic protocols, and fundamental tests of quantum theory. Spontaneous parametric down‐conversion is the most effective source for polarization entangled photon pairs. Here we show, that a class of entangled 4‐photon states can be directly created by parametric down‐conversion. These states exhibit perfect quantum correlations and a high robustness of entanglement against photon loss. Therefore these states are well suited for new types of quantum communication.
Multiphoton entanglement is the basis of many quantum communication schemes, quantum cryptographic protocols, and fundamental tests of quantum theory. Spontaneous parametric down-conversion is the most effective source for polarization entangled photon pairs. Here we show, that a entangled 4-photon state can be directly created by parametric down-conversion. This state exhibit perfect quantum correlations and a high robustness of entanglement against photon loss. We have used this state for four-particle test of local realistic theories. Therefore this state can be used for new types of quantum communication. We also report on possibilities for the experimentally realization of a 3-photon entangled state, the so called W-state, and discuss some of its properties.