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Laser Physics Letters

Two-parameter single-pass plug and play quantum cryptography without adjustment of states in the quantum channel

Andrey N. Klimov, Kirill A. Balygin, S. N. Molotkov

Published Jun 5, 2018• 14 citations
Publisher

Abstract

Abstract All known single-pass fiber-based systems of quantum cryptography require a permanent adjustment of the polarization of states at the output of the quantum channel (QC). A fundamentally new implementation of the single-pass system of quantum cryptography is proposed, which does not require adjustment of the polarization at the output of the QC. Compensation for polarization distortions in the QC occurs automatically on the receiving side—the distortions are self-compensating. This result is achieved due to the fact that the receiving side of the system does not contain active polarization sensitive elements—phase modulators, polarization modulators, polarization controllers etc. The solution of the problem is provided by using a special protocol of quantum key distribution, in which non-orthogonality of states from different bases is achieved due to the time shift.

DOI
10.1088/1612-202x/aabed7

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South African Journal of Science•Jul 27, 2015•2 citations
Abstract All known single-pass fiber-based systems of quantum cryptography require a permanent adjustment of the polarization of states at the output of the quantum channel (QC). A fundamentally new implementation of the single-pass system of quantum cryptography is proposed, which does not require adjustment of the polarization at the output of the QC. Compensation for polarization distortions in the QC occurs automatically on the receiving side—the distortions are self-compensating. This result is achieved due to the fact that the receiving side of the system does not contain active polarization sensitive elements—phase modulators, polarization modulators, polarization controllers etc. The solution of the problem is provided by using a special protocol of quantum key distribution, in which non-orthogonality of states from different bases is achieved due to the time shift.
To compensate for all polarization fluctuations in the transmitting fiber by using Faraday mirror is discussed, and and- system based on Faraday mirror for quantum cryptography is introduced, phase-encoding analysis in brief for plug- and- play system is implemented. The interfering pulses follow exactly the same spatial path, ensuring very high stability and self-compensating. The use of Faraday mirrors compensates for automatically any birefringence effects and polarization dependent losses in the transmitting fiber.
This report proposes a “Plug and Play” quantum key distribution system using differential phase shift, in which any birefringence effects and polarization-dependent losses in the telecom fiber are automatically compensated by using a Faraday mirror. In this system, a light pulse is split into three pulses after traveling through four couplers and a light intensity feedback servosystem is plugged into this system in order to adjust the phase shifter to compensate the variation of these three pulses. The efficiency of key creation in this system is 8/3 higher than the conventional cryptosystem based on the BB84 protocol.
We present a time-multiplexed interferometer based on Faraday mirrors, and apply it to quantum key distribution. The interfering pulses follow exactly the same spatial path, ensuring very high stability and self balancing. Use of Faraday mirrors compensates automatically any birefringence effects and polarization dependent losses in the transmitting fiber. First experimental results show a fringe visibility of 0.9984 for a 23km-long interferometer, based on installed telecom fibers. In so-called private-key cryptographic systems, secure transmission through unprotected channels rely on the exchange of secret keys, known only to the sender, Alice, and the receiver, Bob. Quantum cryptography (QC) relies on the properties of quantum mechanics to obtain a provably secure key distribution [1, 2, 3, 4]. Most exisiting implementations rely on either the polarization [2, 5, 6] or the phase [7, 8, 9, 10] of very weak pulses of light as information carrier. To date, the longest transmission spans were obtained in optical fibers, at a wavelength of 1300 nm [6, 9, 10]. The main difficulty with polarization-based systems is the need to keep stable polarizations over distances of tens of kilometers, in standard telecom cables. Indeed, due to the birefringence of the fibers and the effect of the environment, the output polarization fluctuates randomly. Recent experiments [6]
Quantum Key Distribution (QKD) employs the laws of quantum mechanics for the purpose of cryptography. Two parties, commonly called Alice and Bob, are able to share a random key which is used to encrypt a message. Any eavesdropper trying to intercept their key will have to make measurements, thereby disturbing the system. This can be detected by Alice and Bob and they will then discard their key. Polarisation encoded QKD protocols use the polarisation of single photons as qubits to generate a cryptographic key. This can be implemented using a fibre optic link between Alice and Bob but the polarisation of light is altered when passed through a fibre due to birefringence caused by asymmetries in the fibre. This causes refractive differences for orthogonal components of the state of polarisation of light, so the polarisation is rotated as the photon is transmitted through the fibre. If the fibre is fixed, the change of polarisation will be unique and constant. This can be compensated by rotating each photon appropriately to its original state. Under typical environmental conditions, such as temperature changes and vibrations, the birefringence effects vary and should be compensated in real time. Therefore, an active polarisation controller is needed in order to maintain the state of polarisation of each qubit. An investigation was done to first track how the state of polarisation changes over time in a natural environment. Both wavelength-division multiplexing and time-division multiplexing were investigated as testing methods for the compensation system. A timedivision multiplexed system was developed to compensate the changes in polarisation. Since QKD protocols such as BB84 and B92 utilise two non-orthogonal bases, two polarisation controllers are usually used for compensation. However, by using a search algorithm, one polarisation controller was able to isolate the plane on the Poincare sphere that passes through both bases, thus compensating non-orthogonal states with one device.
Quantum key distribution – a process that encodes digital information – often utilises fibre optic technologies for commercial applications. Fibre provides the benefit of a dark channel as well as the convenience of independence of a line-of-sight connection between the sender and receiver. In order to implement quantum key distribution protocols utilising polarisation encoding, the birefringence effects of fibre must be compensated for. Birefringence is caused by manufacturing impurities in the fibre or a change in environmental conditions and results in a rotation of the state of polarisation of light as it is propagated through the fibre. With dynamic environmental conditions, the birefringence effects should be monitored with a test signal at regular time intervals so that the polarisation of each photon can be appropriately compensated to its original state. Orthogonal states are compensated simultaneously, but most protocols, such as BB84 and B92, require non-orthogonal basis sets. Instead of using a compensator for each basis, the presented scheme fixes the polarisation controller onto the plane on the Poincaré that passes through both bases, compensating both non-orthogonal bases simultaneously.