Security of Quantum Key Distribution with Entangled Qutrits

Abstract

The study of quantum cryptography and quantum non-locality have traditionnally been based on two-level quantum systems (qubits). In this paper we consider a generalisation of Ekert's cryptographic protocol [Ekert] where qubits are replaced by qutrits. The security of this protocol is related to non-locality, in analogy with Ekert's protocol. In order to study its robustness against the optimal individual attacks, we derive the information gained by a potential eavesdropper applying a cloning-based attack.

9 pages original version: july 2002, replaced in january 2003 (reason: minor changes)

References in corpus (11)

• Quantum Cryptography
• Entanglement of Orbital Angular Momentum States of Photons
• Security of quantum key distribution using d-level systems
• Bell inequalities for arbitrarily high dimensional systems
• Optimal eavesdropping in cryptography with three-dimensional quantum states
• Quantum non-locality in two three-level systems
• Experimental violation of a spin-1 Bell inequality using maximally-entangled four-photon states
• Optimal Non-Universally Covariant Cloning
• Violations of local realism with quNits up to N=16
• Quantum Key Distribution using Multilevel Encoding: Security Analysis
• Cloning a Qutrit

Cited by in corpus (66)

• Experimental Quantum Cryptography with Qutrits
• Generation of maximally entangled states of qudits using twin photons
• Manipulating biphotonic qutrits
• Qutrit state engineering with biphotons
• Security of Quantum Key Distribution with entangled quNits
• Optical realization of optimal unambiguous discrimination for pure and mixed quantum states
• Single qudit realization of the Deutsch algorithm using superconducting many-level quantum circuits
• Symmetries in Quantum Key Distribution and the Connection between Optimal Attacks and Optimal Cloning
• Evolution equation of entanglement for general bipartite systems
• Stationary three-dimensional entanglement via dissipative Rydberg pumping
• Unconventional Rydberg pumping and applications in quantum information processing
• Dimensional enhancements in a quantum battery with imperfections
• Security bound of two-bases quantum key-distribution protocols using qudits
• Polarization ququarts
• Economical quantum cloning in any dimension
• Minimum tomography of two entangled qutrits using local measurements of one-qutrit SIC-POVM
• Efficient entanglement purification protocols for d-level systems
• Mutually Unbiased Bases and Trinary Operator Sets for N Qutrits
• Experimental Realization of Polarization Qutrits from Non-Maximally Entangled States
• Preparation of three-dimensional entanglement for distant atoms in coupled cavities via atomic spontaneous emission and cavity decay
• Complementarity Reveals Bound Entanglement of Two Twisted Photons
• Pearson Correlation Coefficient as a measure for Certifying and Quantifying High Dimensional Entanglement
• Generating qudits with d=3,4 encoded on two-photon states
• Propagation of spatially entangled qudits through free space
• Measurable entanglement
• The quantum brachistochrone problem for an arbitrary spin in a magnetic field
• Maximum nonlocality and minimum uncertainty using magic states
• Bi-directional mapping between polarization and spatially encoded photonic qutrits
• Classification and Quantification of Entangled Bipartite Qutrit Pure States
• Experimental scheme for unambiguous discrimination of linearly independent symmetric states
• Biphoton Spectrum Control
• Temperley-Lieb Algebra, Yang-Baxterization and Universal Gate
• Reconstruction of spatial qutrit states based on realistic measurement operators
• Robustness of a quantum key distribution with two and three mutually unbiased bases
• Entanglement classification of 2 X 2 X 2 X d quantum systems via the ranks of the multiple coefficient matrices
• Maximally Entangled States of Four Nonbinary Particles
• Practical Realization of the Quantum Cryptography Protocol Exploiting Polarization Encoding in the Qutrits
• Noise resistance of violation of local causality for pure three-qutrit entangled states
• Experimental quantum tomography assisted by multiply symmetric states in higher dimensions
• Classification of arbitrary-dimensional multipartite pure states under stochastic local operations and classical communication using the rank of coefficient matrix
• Qutrit Circuits and Algebraic Relations: A Pathway to Efficient Spin-1 Hamiltonian Simulation
• Heralded generation of symmetric and asymmetric entangled qudits with weak cross-Kerr nonlinearity
• Quantum information transfer for qutrits
• Designing refrigerators in higher dimensions using quantum spin models
• Efficient and flexible generation of entangled qudits with cross phase modulation
• Bipartite qutrit local realist inequalities and the robustness of their quantum mechanical violation
• Multipartite quantum cryptography based on the violation of Svetlichny's inequality
• Robust Multi-Partite Multi-Level Quantum Protocols
• Measuring higher-dimensional entanglement
• Entanglement creation and distribution on a graph of exchange-coupled qutrits
• Methods for Producing Decoherence-Free States and Noiseless Subsystems Using Photonic Qutrits
• Emulating quantum state transfer through a spin-1 chain on a 1D lattice of superconducting qutrits
• Painlevé property, local and nonlocal symmetries and symmetry reductions for a (2+1)-dimensional integrable KdV equation
• Quantum repeater using three-level atomic states in the presence of dissipation: stability of entanglement
• Teleportation in an indivisible quantum system
• Genuine entanglement detection via projection map in multipartite systems
• Proposal for a new scheme for producing a two-photon, high dimensional hyperentangled state
• Multiparty quantum cryptographic protocol
• The reduction of entropy uncertainty for qutrit system under non-Markov noisy environment
• Qudit low-density parity-check codes
• High-Dimensional Entanglement of Photonic Angular Qudits
• Tradeoff between noise and banding in a quantum adder with qudits
• Quantum enhancement of qutrit dynamics through driving field and photonic band-gap crystal
• Impact of imperfect measurements on multi-party quantum key distribution
• Stationary state entanglement and total correlation of two qubits or qutrits
• Creating two-qudit maximally entangled quantum link through bulk