Security of deterministic key distribution with higher-dimensional systems
arXiv:2505.17194 · doi:10.1016/j.physleta.2026.131550
Abstract
We analyze the security of two-way quantum key distribution using arbitrary finite-dimensional systems, considering both individual and collective eavesdropping attacks, without the effective use of entangled states, by incorporating two mutually unbiased bases and Heisenberg-Weyl operators in higher dimensions. For individual attacks, we consider cloning operations by the eavesdropper and demonstrate a dimensional advantage where secret keys can be generated for greater strengths of interception. To analyze security under collective attacks, we employ a purification scheme and derive the key rate using entropic uncertainty relations. Further, we exhibit how the protocol is more robust against eavesdropping with increasing dimension of the systems used, and compare the performance with that of the entangled two-way secure dense coding protocol when the presence of the eavesdropper is modeled by correlated and uncorrelated noise.
v1: 15 pages, 5 figures; v2: 18 pages, 6 fugures, close to published version
References in corpus (53)
- Quantum entanglement
- Quantum cryptography: Public key distribution and coin tossing
- The Security of Practical Quantum Key Distribution
- Device-independent security of quantum cryptography against collective attacks
- Secure Direct Communication with a Quantum One-Time-Pad
- The Uncertainty Principle in the Presence of Quantum Memory
- Entropic Uncertainty Relations and their Applications
- Tight Finite-Key Analysis for Quantum Cryptography
- Fully device independent quantum key distribution
- Secure Deterministic Communication Without Entanglement
- Bloch vectors for qudits
- Secure device-independent quantum key distribution with causally independent measurement devices
- Provably-Secure and High-Rate Quantum Key Distribution with Time-Bin Qudits
- Quantum state discrimination and its applications
- Quantum channels and memory effects
- Lower and upper bounds on the secret key rate for QKD protocols using one--way classical communication
- The ping-pong protocol can be attacked without eavesdropping
- High-Dimensional Quantum Key Distribution based on Multicore Fiber using Silicon Photonic Integrated Circuits
- Improving the capacity of the ping-pong protocol
- Quantum Channels with Memory
- High-Dimensional Single-Photon Quantum Gates: Concepts and Experiments
- Stable adiabatic quantum batteries
- Quantum information processing with space-division multiplexing optical fibres
- Continuous operation of high bit rate quantum key distribution
- High-dimensional decoy-state quantum key distribution over 0.3 km of multicore telecommunication optical fibers
- Experimental demonstration of entanglement-enhanced classical communication over a quantum channel with correlated noise
- Experimental Quantum Switching for Exponentially Superior Quantum Communication Complexity
- High-dimensional quantum teleportation under noisy environments
- Experimental investigation of high-dimensional quantum key distribution protocols with twisted photons
- Entangled states maximize the two qubit channel capacity for some Pauli channels with memory
- Experimental optimal cloning of four-dimensional quantum states of photons
- Security of two-way quantum key distribution
- Continuous operation of a one-way quantum key distribution system over installed telecom fibre
- Unconditional security proof of a deterministic quantum key distribution with a two-way quantum channel
- Overcoming erasure errors with multilevel systems
- Error tolerance of two-basis quantum key-distribution protocols using qudits and two-way classical communication
- Memory Effects in Spin Chain Channels for Information Transmission
- Closed-loop three-level charged quantum battery
- Multi-stage quantum absorption heat pumps
- A dynamical model for quantum memory channels
- Bounds on classical information capacities for a class of quantum memory channels
- Quantum key distribution with delayed privacy amplification and its application to security proof of a two-way deterministic protocol
- Secrecy content of two-qubit states
- Quantum key establishment via a multimode fiber
- Quantum Key Distribution and Communication using a Two-way Quantum Channel
- Multipartite Dense Coding vs. Quantum Correlation: Noise Inverts Relative Capability of Information Transfer
- Security of modified Ping-Pong protocol in noisy and lossy channel
- Entanlement-Assisted Classical Capacity of Quantum Channels with Correlated Noise
- Full Thermalization of a Photonic Qubit
- Designing refrigerators in higher dimensions using quantum spin models
- Simplifying the design of multilevel thermal machines using virtual qubits
- Dimensional advantage in secure information trading via the noisy dense coding protocol
- High-Dimensional Quantum Key Distribution with Qubit-like States