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Heisenberg, Bell, and experimental quantum cryptography

John Rarity, P. C. M. Owens, P. R. Tapster

Published May 8, 1994• 0 citations
OpenAlex

Abstract

When single photons are used to code for individual bits, security can be guaranteed by exploiting Heisenberg's uncertainty principle. Binary information can be coded into two orthogonal states, such as polarization or relative phase (in an interferometer). To receive this information we require an analyzer able to discriminate between the two states in an error-free way. In a linear-polarization system a polarizing beam splitter is used with its axes aligned to the two possible polarization directions. However, using a polarizer at 45° to these directions will ensure a random output uncorrelated to the single-photon-coded bit stream. The principle of secure key sharing, or quantum cryptography, is that a random bit stream is encoded onto individual photons while randomly switching the coding basis between the 0° and 45° polarization bases (in general, any non-orthogonal measurement bases). The receiver also randomly switches between these basis, and information is shared only when a photon is received and the same basis is used for coding and for measurement. An initial experiment of this type was carried out by using faint pulses of polarized visible light over a 40-cm transmission distance.1

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When single photons are used to code for individual bits, security can be guaranteed by exploiting Heisenberg's uncertainty principle. Binary information can be coded into two orthogonal states, such as polarization or relative phase (in an interferometer). To receive this information we require an analyzer able to discriminate between the two states in an error-free way. In a linear-polarization system a polarizing beam splitter is used with its axes aligned to the two possible polarization directions. However, using a polarizer at 45° to these directions will ensure a random output uncorrelated to the single-photon-coded bit stream. The principle of secure key sharing, or quantum cryptography, is that a random bit stream is encoded onto individual photons while randomly switching the coding basis between the 0° and 45° polarization bases (in general, any non-orthogonal measurement bases). The receiver also randomly switches between these basis, and information is shared only when a photon is received and the same basis is used for coding and for measurement. An initial experiment of this type was carried out by using faint pulses of polarized visible light over a 40-cm transmission distance.1
The secure distribution of the secret random bit sequences known as `key' material, is an essential precursor to their use for the encryption and decryption of confidential communications. Quantum cryptography is an emerging technology for secure key distribution with single-photon transmissions: Heisenburg's uncertainty principle ensures that an adversary can neither successfully tap the key transmissions, nor evade detection (eavesdropping raises the key error rate above a threshold value). We have developed experimental quantum cryptography systems based on the transmission of non-orthogonal single-photon states to generate shared key material over multi-kilometer optical fiber paths and over line-of-sight links. In both cases, key material is built up using the transmission of a single- photon per bit of an initial secret random sequence. A quantum-mechanically random subset of this sequence is identified, becoming the key material after a data reconciliation stage with the sender. In our optical fiber experiment we have performed quantum key distribution over 24-km of underground optical fiber using single-photon interference states, demonstrating that secure, real-time key generation over `open' multi-km node-to-node optical fiber communications links is possible.
The secure distribution of the secret random bit sequences known as 'key' material, is an essential precursor to their use for the encryption and decryption of confidential communications. Quantum cryptography is a new technique for secure key distribution with single-photon transmissions: Heisenberg's uncertainty principle ensures that an adversary can neither successfully tap the key transmissions, nor evade detection (eavesdropping raises the key error rate above a threshold value). We have developed experimental quantum cryptography systems based on the transmission of non- orthogonal photon polarization states to generate shared key material over line-of-sight optical links. Key material is built up using the transmission of a single-photon per bit of an initial secret random sequence. A quantum-mechanically random subset of this sequence is identified, becoming the key material after a data reconciliation stage with the sender. We have developed and tested a free-space quantum key distribution (QKD) system over an outdoor optical path of approximately 1 km at Los Alamos National Laboratory under nighttime conditions. Results show that free-space QKD can provide secure real-time key distribution between parties who have a need to communicate secretly. Finally, we examine the feasibility of surface to satellite QKD.
The secure distribution of the secret random bit sequences known as {open_quotes}key{close_quotes} material, is an essential precursor to their use for the encryption and decryption of confidential communications. Quantum cryptography is an emerging technology for secure key distribution with single-photon transmissions, nor evade detection (eavesdropping raises the key error rate above a threshold value). We have developed experimental quantum cryptography systems based on the transmission of non-orthogonal single-photon states to generate shared key material over multi-kilometer optical fiber paths and over line-of-sight links. In both cases, key material is built up using the transmission of a single-photon per bit of an initial secret random sequence. A quantum-mechanically random subset of this sequence is identified, becoming the key material after a data reconciliation stage with the sender. In our optical fiber experiment we have performed quantum key distribution over 24-km of underground optical fiber using single-photon interference states, demonstrating that secure, real-time key generation over {open_quotes}open{close_quotes} multi-km node-to-node optical fiber communications links is possible. We have also constructed a quantum key distribution system for free-space, line-of-sight transmission using single-photon polarization states, which is currently undergoing laboratory testing. 7 figs.
Quantum cryptography allows the establishing of a highly confidential sequence of random bits between two parties who share no secret information in advance. Its security is guaranteed by the basic laws of quantum mechanics rather than mathematical difficulty. An experimental system based on a novel protocol for quantum cryptography using only two nonorthogonal photon polarization states is implemented. The photon sources are two semiconductor laser diodes operated at 680 nm, their light pulses which are heavily attenuated to far below one photon per pulse are employed to encode the key. Gated single photon detection technique is used to minimize the dark count effect of the photon multiplier tube. Key establishing rate of 40 b/s and error rate of 2.1% are obtained. Compared with other systems, our system has the simplest experimental setup.
Summary form only given. Quantum cryptography uses single photons to allow secure distribution of secret key material to sender and receiver, without the possibility of an undetected eavesdropper. In the protocol suggested by Ekert, each photon of a quantum-mechanically entangled pair is sent to the sender and receiver, who randomly measure the polarization in various bases. If the bases are the same, then sender and receiver will have completely correlated measurement results, which become the shared secret key. Other combinations of measurements are used to test Bell's inequalities, which limit the possible correlations achievable with any local realistic theory. The presence of an intermediate eavesdropper can be readily detected by an inability to violate Bell's inequality. Using the polarization-entangled photon pairs from a novel spontaneous parametric down-conversion source, we have experimentally implemented. Ekert's proposal.