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Quantum Channel Authentication Scheme via Weak Cross-Kerr Nonlinearity

Dong Ying-d

Published Jan 1, 2015• 0 citations
OpenAlex

Abstract

The Bell state nondemolition detector technology was proposed via the weak cross-Kerr nonlinearities in the process of quantum teleportation,quantum channel authentication scheme in symmetrical quantum cryptography via weak nonlinearity was presented.After two-bit joint gates were evolved via the weak cross-Kerr nonlinearities medium by two legitimate partners,covering Bell-state that correlated with quantum channel,quantum channel authentication was completed through quantum nondemolition detector(QND)technology.Furthermore,the security performance of the scheme was analyzed in theory.The result showned that the proposed scheme is more efficient authentication to realize the complete performance of quantum channel.

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The Bell state nondemolition detector technology was proposed via the weak cross-Kerr nonlinearities in the process of quantum teleportation,quantum channel authentication scheme in symmetrical quantum cryptography via weak nonlinearity was presented.After two-bit joint gates were evolved via the weak cross-Kerr nonlinearities medium by two legitimate partners,covering Bell-state that correlated with quantum channel,quantum channel authentication was completed through quantum nondemolition detector(QND)technology.Furthermore,the security performance of the scheme was analyzed in theory.The result showned that the proposed scheme is more efficient authentication to realize the complete performance of quantum channel.
Scheme for teleporting an unknown single-qubit photonic state is revisited. With the help of quantum nonde-molition measurements, the scheme now can be achieved in an almost deterministic way. The weak-cross-Kerrnonlinearities-based quantum nondemolition measurement acts as an entangler as well as the Bell-state analyzer, and thus plays a similar role as the CNOT gate in the teleportation process. This improvement makes the present scheme more efficient than the schemes using nonunitary projective measurements and feasible with the current experimental technology.
A scheme for teleporting an unknown single-qubit photonic state in a nearly deterministic and controlled manner is proposed via the weak cross-Kerr nonlinearities.The functions of the complicated CNOT operations and Bell-state analysis can be realized easily with the help of quantum nondemolition measurement technique.This improvement makes the present scheme more efficient than the schemes using nonunitaxy projective measurements.Discussions about this scheme show that it is feasible with the current experimental technology in optics.
We propose a quantum secure direct communication protocol via a collective noise channel, exploiting polarization-entangled Bell states and the nondemolition parity analysis based on weak cross-Kerr nonlinearities. The participant Bob, who will receive the secret information, sends one of two photons in a polarization-entangled Bell state exploiting the transmission circuit against the collective noise to the participant Alice, who will send the secret information, by the means of photon block transmission. If the first security check employing the nondemolition parity analysis is passed, the task of securely distributing the quantum channel is fulfilled. Encoding secret information on the photons sent from Bob by performing single-photon unitary transformation operations, Alice resends these photons to Bob through the transmission circuit against the collective noise. Exploiting the nondemolition parity analysis to distinguish Bell states, Bob can obtain the secret information from Alice after the second security check is passed, and the resulting Bell states can be applied to other tasks of quantum information processing. Under the condition of the secure quantum channel being confirmed, the photons that are utilized in the role of the security check can be applied to the function of secure direct communication, thus enhancing the efficiency of transmitting secret information and saving a lot of resources.
Hyperentanglement, the entanglement in several degrees of freedom (DOFs) of a quantum system, has attracted much attention as it can be used to increase both the channel capacity of quantum communication and its security largely. Here, we present the first scheme to completely distinguish the hyperentangled Bell states of two-photon systems in three DOFs with the help of cross-Kerr nonlinearity without destruction, including two longitudinal momentum DOFs and the polarization DOF. We use cross-Kerr nonlinearity to construct quantum nondemolition detectors which can be used to make a parity-check measurement and analyze Bell states of two-photon systems in different DOFs. Our complete scheme for two-photon six-qubit hyperentangled Bell-state analysis may be useful for the practical applications in quantum information, especially in long-distance high-capacity quantum communication.
Schemes for two-qubit and three-qubit controlled gates based on cross-Kerr nonlinearity are proposed in this paper. The probability of the success of these gates can be increased by quantum nondemolition detectors, which are used to judge which paths the signal photons pass through. These schemes are almost deterministic and require no ancilla photon. The advantages of these gates over the existing ones include less resource consumption and a higher probability of success, which make our schemes more feasible with current technology.
High-dimensional entangled states have attracted attention because of their strong nonlocality and powerful capability for quantum information processing. By the methods presented in this paper, arbitrary forms-entangled qudits including symmetric and asymmetric forms could be generated with weak cross-Kerr nonlinearity. These schemes are heralded by the use of single-photon detectors. If all the detectors do not register any single photons, the generation is a success with the probability 1/nM determined by dimension n and partite M. Furthermore, these schemes work well even with the common photon number nonresolving detectors; therefore they are feasible with the current experimental technology.