Security proof for qudit-system-based quantum cryptography against entanglement-measurement attack

Abstract

By using decoy photon technology, quantum cryptography can resist many famous attacks, such as intercept-resend attack, entanglement-resend attack and entanglement-measurement attack. In d-level systems, two groups of non orthogonal bases composed of a group of d-level single particles and the single particles after quantum Fourier transform are widely used as decoy photons. However, the security proof of quantum cryptography protocols against entanglementmeasurement attack using decoy photon technology based on the two groups of bases is still a blank. In this paper we address this problem. We take the quantum cryptography protocols using d-level n-particle GHZ state as information carriers to prove the security.

Two-party quantum private comparison based on eight-qubit entangled state

“…In our protocol, we use the decoy photon technology to perform the eavesdropping check, which has been proved that it can resist the well-known attacks, including the intercept-resend attack, measurementresend attack, entanglement-measurement attack and denial-of-service attack [28][29][30].…”