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arXiv:2405.08610

Gamma-protocol for secure transmission of information

R. N. Shakhmuratov, Зиннатуллин А.Л., Farit G. Vagizov

Published May 14, 2024• 0 citations
arXivHTMLPDF

Abstract

Secure communication that allows only the sender and intended recipient of a message to view its content has a long history. Quantum objects, such as single photons are ideal carriers for secure information transmission because, according to the no-cloning theorem [1], it is impossible to create an identical and independent copy of an arbitrary quantum state while its detection leads to the information distortion. BB84 [2,3] is the first quantum cryptography protocol for a quantum key generation and distribution, based on single photon sources. This quantum key is used for coding and decoding of classical information. We propose completely different protocol based on a stochastic decay of an ensemble of radioactive nuclei randomly emitting a stream of gamma-photons. We experimentally demonstrate a method how to transmit classical information containing binary bits (0 or 1) with the help of this stream. Transmission is organized such that eavesdropping is impossible since the presence of information in the stream of randomly emitted gamma-photons can be hidden. Reading of this information needs precise knowledge of the repetition rate of its sending in advance. It is unrealistic for the eavesdropper to disclose this rate, and without knowledge of this parameter it is impossible to make the transmitted information visible.

DOI
10.48550/arxiv.2405.08610

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Secure communication that allows only the sender and intended recipient of a message to view its content has a long history. Quantum objects, such as single photons are ideal carriers for secure information transmission because, according to the no-cloning theorem [1], it is impossible to create an identical and independent copy of an arbitrary quantum state while its detection leads to the information distortion. BB84 [2,3] is the first quantum cryptography protocol for a quantum key generation and distribution, based on single photon sources. This quantum key is used for coding and decoding of classical information. We propose completely different protocol based on a stochastic decay of an ensemble of radioactive nuclei randomly emitting a stream of gamma-photons. We experimentally demonstrate a method how to transmit classical information containing binary bits (0 or 1) with the help of this stream. Transmission is organized such that eavesdropping is impossible since the presence of information in the stream of randomly emitted gamma-photons can be hidden. Reading of this information needs precise knowledge of the repetition rate of its sending in advance. It is unrealistic for the eavesdropper to disclose this rate, and without knowledge of this parameter it is impossible to make the transmitted information visible.
Abstract Quantum cryptography protocols are based on the use of quantum objects with at least two orthogonal states, for example, the polarization states of a photon. We propose a completely different cryptography protocol using a stochastic flow of single photons. Our method is based on the stochastic decay of an ensemble of radioactive nuclei randomly emitting a stream of γ -photons. We have experimentally demonstrated the transmission of classical information containing binary bits. Reading this information requires precise knowledge of the repetition rate of its sending. Otherwise, it is impossible to make the transmitted information visible, since it will be lost in the noise.
The quantum key distribution protocol BB84, published by C. H. Bennett and G. Brassard in 1984, describes how two spatially separated parties can generate a random bit string fully known only to them by transmission of single-qubit quantum states. Any attempt to eavesdrop on the protocol introduces disturbance which can be detected by the legitimate parties. In this Master's Thesis a novel modification to the BB84 protocol is analyzed. Instead of sending single particles one-by-one as in BB84, they are grouped and a non-local transformation is applied to each group before transmission. Each particle is sent to the intended receiver, always delaying the transmission until the receiver has acknowledged the previous particle on an authenticated classical channel, restricting eavesdropping to accessing the quantum transmission one particle at a time. Hence, an eavesdropper cannot undo the non-local transformation perfectly. Even if perfect cloning of quantum states was possible the state of the group could not be cloned. We calculate the maximal information on the established key provided by an intercept-resend attack and the induced disturbance for different transformations. We observe that it is possible to significantly reduce the eavesdropper's maximal information on the key--to one eighth of that in BB84 for a fixed, reasonable amount of disturbance. We also show that the individual access to the particles poses a fundamental restriction to the eavesdropper, and discuss a novel attack type against the proposed protocol.
Quantum cryptography protocols using entangled qubit pairs can increase the rate and security of information exchange through a quantum channel. Usually those protocols are non-deterministic, i.e. a classical bit is encoded in a quantum state, but the actual bit value cannot be determined. Therefore they request the transmission of additional information through a public channel. By contrast, the ping-pong coding scheme based on entangled photons allows for deterministic and direct key distribution. No qubit has to be discarded and information can be decoded without the need for a subsequent transmission of additional information. Communication through a public channel nevertheless is necessary to ensure asymptotical security against arbitrary eavesdropping attacks.
The dynamic nature of digital communication, and data transmission security have assumed paramount importance. Once thought to be impenetrable by quantum computers, traditional encryption methods now need quantum-safe cryptographic alternatives. One such revolutionary development is the BB84 Protocol, a quantum key distribution mechanism based on quantum physics. BB84 utilizes the particles' quantum features to guarantee the safety of the key exchange and make eavesdropping almost impossible. To secure the security of transmitted data, BB84 relies on single-photon sources, which emit single photons. The BB84-inspired Quantum Key Distribution Protocols are now the backbone of quantum cryptography. The production of cryptographic keys between distant parties is made possible by these protocols, allowing for a safe line of communication even in the face of quantum adversaries. To counteract the growing processing capability of quantum computers, quantum cryptography methods were developed. Quantum Key Distribution, which has its roots in BB84, is leading the road for post-quantum secure communication. These protocols offer a future where data privacy and security reign, guaranteeing the secrecy of digital communication in an increasingly linked world by harnessing the complex features of quantum particles and the strength of BB84.
Data transmission has always been vulnerable to eavesdropping.Conventional cryptography has provided security in data communication, however it has some limitations when dealing with passive eavesdropping.Recently, the quantum mechanics has made a remarkable entry in the field of data communication.Now, it is possible to construct cryptographic communication systems which detect unauthorized eavesdropping and guarantee its prevention.Several protocols have been devised to implement such systems e.g., BB84, B92 and EPR.The famous BB84 protocol describes quantum encryption in terms of polarization states of a photon.The secret information is t ransmitted via secure quantum channel followed by a public conversation for verification and reconciliation.The B92 protocol is an extension of BB84 which shows how photons with non-orthogonal states can be used to distribute a secret key.The EPR protocol utilizes an entangled photon pair for encryption-one photon from this pair is transmitted towards the destination while keeping the other at the source; the destination photon describes the state of the source photon, failing to which confirms the intrusion.This paper presents a study of these protocols and a review on the recent developments in the field of secure quantum transmission.
Cryptographic protocols can be classified by the type of security against eavesdropping which they provide. There exist mathematically secure schemes whose security relies on mathematical proofs (like the Vernam cipher discussed below) or conjectures (like public key RSA encryption) about the complexity of deciphering the message without possessing the correct key. The majority of current secure public Internet connections rely on such schemes. Alternatively, a cryptographic setup may provide a physically secure method for communicating. In these setups the security is provided by the physical laws governing the communication protocol. Here we first discuss a provably secure classical communication protocol and then quantum methods for distributing the necessary keys. The BB84 protocol relies on the impossibility of perfectly distinguishing non-orthogonal quantum states from one copy of the quantum system. The scheme was invented in 1984 and is the first of its kind. In contrast, the Ekert91 protocol makes use of Bell correlations between entangled pairs of photons. These correlations are destroyed when Eve attempts to make a measurement on one of the particles but also when imperfections, such as decoherence processes, affect the scheme. As long as no such “elements of reality” are introduced, and Bell correlations violating local realism can be generated by Alice and Bob, no eavesdropper can be present. One-time pads and the Vernam cipher The Vernam cipher is a cryptographic protocol which allows the encryption and decryption protocol to be publicly known. The security of the protocol relies entirely on the key which is private and not publicly known. Alice and Bob share identical n -bit secret key strings (one-time pad).