Quantum Key Distribution using Multilevel Encoding: Security Analysis
arXiv:quant-ph/0106049 · doi:10.1088/0305-4470/35/47/307
Abstract
We present security proofs for a protocol for Quantum Key Distribution (QKD) based on encoding in finite high-dimensional Hilbert spaces. This protocol is an extension of Bennett's and Brassard's basic protocol from two bases, two state encoding to a multi bases, multi state encoding. We analyze the mutual information between the legitimate parties and the eavesdropper, and the error rate, as function of the dimension of the Hilbert space, while considering optimal incoherent and coherent eavesdropping attacks. We obtain the upper limit for the legitimate party error rate to ensure unconditional security when the eavesdropper uses incoherent and coherent eavesdropping strategies. We have also consider realistic noise caused by detector's noise.
8 pages, 3 figures, REVTeX
Cited by in corpus (36)
- Communication with spatially modulated Light through turbulent Air across Vienna
- Influence of Atmospheric Turbulence on Optical Communications using Orbital Angular Momentum for Encoding
- Rapid Generation of Light Beams Carrying Orbital Angular Momentum
- Direct Measurement of a 27-Dimensional Orbital-Angular-Momentum State Vector
- Large-Alphabet Time-Frequency Entangled Quantum Key Distribution by means of Time-to-Frequency Conversion
- Security of Quantum Key Distribution with Entangled Qutrits
- Simulating thick atmospheric turbulence in the lab with application to orbital angular momentum communication
- Security of Quantum Key Distribution with entangled quNits
- Characterization of high-dimensional entangled systems via mutually unbiased measurements
- Quantum-secured imaging
- Unconditionally Secure Key Distribution In Higher Dimensions By Depolarization
- Error tolerance of two-basis quantum key-distribution protocols using qudits and two-way classical communication
- Security bound of two-bases quantum key-distribution protocols using qudits
- High error-rate quantum key distribution for long-distance communication
- Satellite-to-Earth Quantum Key Distribution via Orbital Angular Momentum
- Economical quantum cloning in any dimension
- Mode-resolved Photon Counting via Cascaded Quantum Frequency Conversion
- Efficient single-spatial-mode periodically-poled KTiOPO_4 waveguide source for high-dimensional entanglement-based quantum key distribution
- Spatial Mode Correction of Single Photons using Machine Learning
- Key rate enhancement using qutrit states for uncharacterized quantum key distribution
- Quantum dense coding over Bloch channels
- Simple and secure quantum key distribution with biphotons
- Quantum state tomography of orbital angular momentum photonics qubits via a projection-based technique
- Measurement of the radial mode spectrum of photons through a phase-retrieval method
- Quantum Cryptography: Security Criteria Reexamined
- Robust Multi-Partite Multi-Level Quantum Protocols
- Multi-particle and High-dimension Controlled Order Rearrangement Encryption Protocols
- Limit quantum efficiency for violation of Clauser-Horne Inequality for qutrits
- Controlled generation of mixed spatial qudits with arbitrary degree of purity
- Quantum Key Distribution with no Shared Reference Frame
- Provable entanglement and information cost for qubit-based quantum key-distribution protocols
- Attack of Many Eavesdroppers via Optimal Strategy in Quantum Cryptography
- Robustness of the BB84 quantum key distribution protocol against general coherent attacks
- Multiparty quantum cryptographic protocol
- Coherent Eavesdropping Attacks in Quantum Cryptography: Nonequivalence of Quantum and Classical Key Distillation
- Security of deterministic key distribution with higher-dimensional systems