Quantum direct communication protocol using recurrence in k-cycle quantum walk

Abstract

The ability of quantum walks to evolve in a superposition of distinct quantum states has been used as a resource in quantum communication protocols. Under certain settings, the $k$-cycle discrete-time quantum walks\,(DTQW) are known to recur to its initial state after every $t_r$ steps. We first present a scheme to optically realize any $k$-cycle DTQW using $J$-plate, orbital angular momentum\,(OAM) sorters, optical switch, and optical delay line. This entangles the polarization and OAM degrees of freedom\,(DoF) of a single photon. Making use of this recurrence phenomena of $k$-cycle DTQW and the entanglement generated during the evolution, we present a new quantum direct communication protocol. The recurrence and entanglement in $k$-cycle walk are effectively used to retrieve and secure the information, respectively, in the proposed protocol. We investigate the security of the protocol against intercept and resend attack. We also quantify the effect of amplitude damping and depolarizing noises on recurrence and mutual information between polarization and OAM DoF of a single photon.

arXiv comment9 pages, 6 figures

References in corpus (30)

• Polynomial-Time Algorithms for Prime Factorization and Discrete Logarithms on a Quantum Computer
• The Quantum Internet
• A computable measure of entanglement
• Quantum cryptography: Public key distribution and coin tossing
• The Security of Practical Quantum Key Distribution
• Quantum Communication
• A Two-Step Quantum Direct Communication Protocol Using Einstein-Podolsky-Rosen Pair Block
• Secure Direct Communication with a Quantum One-Time-Pad
• Deterministic Secure Direct Communication Using Entanglement
• Secure direct communication using entanglement
• Quantum Secure Direct Communication with Quantum Memory
• Improving the security of multiparty quantum secret sharing against Trojan horse attack
• Efficient separation of the orbital angular momentum eigenstates of light
• Ultrafast and energy-efficient all-optical switching with graphene-loaded deep-subwavelength plasmonic waveguides
• Controlling discrete quantum walks: coins and intitial states
• Experimental Two-dimensional Quantum Walk on a Photonic Chip
• Interface between path and OAM entanglement for high-dimensional photonic quantum information
• Quantum Direct Communication with Authentication
• Quantum walk-based portfolio optimisation
• Quantum key distribution with quantum walks
• Implementation of one-dimensional quantum walks on spin-orbital angular momentum space of photons
• Quantum walks public key cryptographic system
• Discrete-time quantum walk algorithm for ranking nodes on a network
• Quantum state revivals in quantum walks on cycles
• Bloch-Landau-Zener dynamics induced by a synthetic field in a photonic quantum walk
• Continuous variable controlled quantum dialogue and secure multiparty quantum computation
• Fractional recurrence in discrete-time quantum walk
• Quantum direct communication protocols using discrete-time quantum walk
• Quantum e-commerce: A comparative study of possible protocols for online shopping and other tasks related to e-commerce
• Optical realization of one-dimensional generalized split-step quantum walks

Cited by in corpus (4)

• The Evolution of Quantum Secure Direct Communication: On the Road to the Qinternet
• Review on Quantum Walk Computing: Theory, Implementation, and Application
• Efficient implementation of discrete-time quantum walks on quantum computers
• Recurrent generation of maximally entangled single particle states via quantum walks on cyclic graphs