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International Journal of Apllied Mathematics

Using Quantum Teleportation To Build A Novel Quantum Public-Key Cryptosytem

Manish Kumar Srivastava

Published Nov 3, 2025• 0 citations
Publisher

Abstract

In this paper a novel quantum teleportation based public-key cryptosystem ispresented that does not suppose the existence of quantum channels between anytwo arbitrary users. We assume the existence of a key storage and distributioncentre with which each user shares a set of GHZ triplets as her (public key,privatekey) pairs. To send an encrypted message , the user takes the help of quantumteleportation technology and the key storage and distribution centre. The lawsof quantum mechanics forbid any eavesdropping activity. Moreover we can alsocreate a digital signature by using the proposed scheme. The most crucial linkin the proposed scheme is quantum teleportation which has been realized inlaboratory for many years. So our proposed system can be easily realized withthe available quantum technology at the same time it is more robust againstpossible malicious attacks compared to existing schemes.

DOI
10.12732/ijam.v38i9s.853

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In this paper a novel quantum teleportation based public-key cryptosystem ispresented that does not suppose the existence of quantum channels between anytwo arbitrary users. We assume the existence of a key storage and distributioncentre with which each user shares a set of GHZ triplets as her (public key,privatekey) pairs. To send an encrypted message , the user takes the help of quantumteleportation technology and the key storage and distribution centre. The lawsof quantum mechanics forbid any eavesdropping activity. Moreover we can alsocreate a digital signature by using the proposed scheme. The most crucial linkin the proposed scheme is quantum teleportation which has been realized inlaboratory for many years. So our proposed system can be easily realized withthe available quantum technology at the same time it is more robust againstpossible malicious attacks compared to existing schemes.
In this paper we provide a quantum public-key cryptosystem using non-orthogonal states. A user Alice uses a set of particles which are in non-orthogonal quantum states as the public key kept by a key management center (KMC) while the she keeps the states of the particles secret as the private key. By the help of KMC any other user can send encrypted message to Alice. Any one including KMC except Alice can’t get the message. On the other hand digital signature can also be achieved by this public-key cryptosystem. There are no entangled states and complex operations needed in our cryptosystem. So it’s easier to carry out in practice and more robust against possible attacks.
An encryption-based networking quantum teleportation scheme is proposed for the secure quantum communication network based on the novel networking quantum key distribution (NQKD) with the Greenberger–Horne–Zeilinger (GHZ) state. The security is exactly guaranteed via the entanglement of the GHZ quantum system. In the process of quantum teleportation, the server Charlie prepares the GHZ states and the users exploit the four local unitary operations corresponding to the keys shared aforehand to encrypt/decrpt for the initial messages. One legal user can communicate with another on the network securely as they may perform a quantum privacy application on the encrypted quantum states transmitted in quantum channel. Its intrinsic efficiency is high as almost all the instances are useful and each GHZ state can carry two different encrypted single-qubit states. To reconstruct these transmitted messages, the users exploit Bell measurement and perform local operations with respect to the shared keys in NQKD, which will improve its security in a noise quantum channel.
A quantum public-key cryptosystem without quantum storage for public-keys is provided. In traditional quantum public-key cryptosystems the public key of a user is a set of quantum systems. There is a key mangement center (KMC) which needs to keep the public keys of all users for a long time to satisfy communication requirments between users. But it's very difficult to keep quantum systems for a long time beacuse quantum system will undergo decoherence with time. This is a big obstacle for quantum public-key crytosystems when they are applied in practice. This quantum public-key cryptosystem can solve this problem. A user keeps a state sequence and a binary string in the key management center called the source key which is only a piece of classical information. If one user A wants to have another user B to get a secret message, KMC creates a sequence of quantum systems according to the latter one's source key, which is just the user's (public key, private key) pair. Then the two users can acomplish secure communications with KMC's assistance. On the otherhand users can also perform message authentication on the messages to guarantee that the messages can't be forged or distorted. In this cryptosystem KMC needs no quantum storage for public keys, which greatly reduces the technical difficulities of key management and secret communication. Moreover any two users needn't keep a quantum channel between them. Therefore to realize and apply this quantum public-key cryptosystem is much more easier than traditional quantum public-key cryptosystems.
A quantum public-key cryptosystem without quantum channels between any two users using non-orthogonal states is provided in this paper. Every user keeps a set of quantum particles in non-orthogonal states in a key management center (KMC) as the public key while he or she keeps the states of them as the private key. By the help of KMC users can accomplish secret communication and message authentication. The laws of quantum physics guarantee the unconditional security of this cryptosystem. No entangled states or complex quantum operations are needed. On the other hand there are no quantum channels needed to connecting any two users. So the public-key cryptosystem is easier to carry out and more robust in practice.
This paper proposes a novel distributed data encryption scheme leveraging the principles of quantum teleportation. Traditional distributed data encryption methods often lack robust security measures, rendering them vulnerable to various attacks. This proposed system utilizes entangled states and quantum teleportation to securely transmit encryption keys between distributed nodes. Instead of directly transmitting sensitive data, the information is encoded and teleported, significantly enhancing the overall security of the data. The core claim of this work is that the use of quantum teleportation provides a more secure encryption mechanism compared to conventional approaches. The system's mechanism relies on establishing entanglement between nodes and employing teleportation protocols to facilitate key exchange. This approach avoids direct data transmission, a critical vulnerability in many existing schemes. The effectiveness of this method is demonstrated through a theoretical framework, highlighting its potential to address the security concerns present in current distributed data encryption technologies. The core mechanism is to utilize entanglement to securely transmit keys, and the novelty lies in the shift from direct data transmission to teleportation-based key exchange.
In most traditional quantum public-key cryptosystems, the public key held by the key management center (KMC) is a group of quantum systems. The public key is destroyed after a secret communication process, and so users must reconstruct the public key with the KMC after every communication process or hold many copies of the public key in the beginning. This requirement is an obstacle to the practical application of such quantum cryptosystems. This paper describes a quantum public-key cryptosystem with reusable keys using entangled states. Each user shares a set of entangled quantum systems with the KMC as that individual user’s (public key, private key) pair. Two users can exchange secret communications with the help of the KMC. Moreover, the states of the quantum systems revert to their original states. The user’s (public key, private key) pair is unchanged so that the keys are reusable. It is unnecessary for users to reconstruct the public key with the KMC or save many copies of the public key in the KMC. As a result, this public-key cryptosystem is much less expensive to manage and easier to realize in practice than most traditional quantum public-key cryptosystems.