Asymptotic security of discrete-modulation protocols for continuous-variable quantum key distribution
arXiv:1901.10099 · doi:10.1103/PhysRevA.103.012412
Abstract
We consider discrete-modulation protocols for continuous-variable quantum key distribution (CV-QKD) that employ a modulation constellation consisting of a finite number of coherent states and that use a homodyne or a heterodyne-detection receiver. We establish a security proof for collective attacks in the asymptotic regime, and we provide a formula for an achievable secret-key rate. Previous works established security proofs for discrete-modulation CV-QKD protocols that use two or three coherent states. The main constituents of our approach include approximating a complex, isotropic Gaussian probability distribution by a finite-size Gauss-Hermite constellation, applying entropic continuity bounds, and leveraging previous security proofs for Gaussian-modulation protocols. As an application of our method, we calculate secret-key rates achievable over a lossy thermal bosonic channel. We show that the rates for discrete-modulation protocols approach the rates achieved by a Gaussian-modulation protocol as the constellation size is increased. For pure-loss channels, our results indicate that in the high-loss regime and for sufficiently large constellation size, the achievable key rates scale optimally, i.e., proportional to the channel's transmissivity.
arXiv comment25 pages, 4 figures
References in corpus (56)
- Quantum cryptography: Public key distribution and coin tossing
- The Security of Practical Quantum Key Distribution
- Decoy State Quantum Key Distribution
- Quantum Key Distribution with High Loss: Toward Global Secure Communication
- Beating the PNS attack in practical quantum cryptography
- Continuous variable quantum cryptography using coherent states
- Fundamental Limits of Repeaterless Quantum Communications
- General Benchmarks for Quantum Repeaters
- Distillation of secret key and entanglement from quantum states
- Continuous variable quantum cryptography
- Unconditional optimality of Gaussian attacks against continuous-variable QKD
- Quantum key distribution over 25 km with an all-fiber continuous-variable system
- Quantum Cryptography without Switching
- Optimality of Gaussian Attacks in Continuous Variable Quantum Cryptography
- Efficient long distance quantum communication
- Fundamental rate-loss tradeoff for optical quantum key distribution
- Quantum Distribution of Gaussian Keys with Squeezed States
- Composable security proof for continuous-variable quantum key distribution with coherent states
- Continuous-Variable Quantum Key Distribution with Gaussian Modulation -- The Theory of Practical Implementations
- Quantum Repeater with Encoding
- Extremality of Gaussian quantum states
- Lower and upper bounds on the secret key rate for QKD protocols using one--way classical communication
- Tight uniform continuity bounds for quantum entropies: conditional entropy, relative entropy distance and energy constraints
- Security of continuous-variable quantum key distribution against general attacks
- Analysis of Imperfections in Practical Continuous-Variable Quantum Key Distribution
- Experimental demonstration of Gaussian protocols for one-sided device-independent quantum key distribution
- Quantum cryptography with a predetermined key, using continuous variable Einstein-Podolsky-Rosen correlations
- Continuous-variable quantum key distribution protocols with a non-Gaussian modulation
- Converse bounds for private communication over quantum channels
- Quantum Cryptography Approaching the Classical Limit
- Quantum cryptography using balanced homodyne detection
- Rate-distance tradeoff and resource costs for all-optical quantum repeaters
- Asymptotic security analysis of discrete-modulated continuous-variable quantum key distribution
- Rate-loss analysis of an efficient quantum repeater architecture
- Virtual noiseless amplification and Gaussian post-selection in continuous-variable quantum key distribution
- Asymptotic security of continuous-variable quantum key distribution with a discrete modulation
- Unidimensional continuous-variable quantum key distribution
- The -divergence and Mixing times of quantum Markov processes
- Security of Binary Modulated Continuous Variable Quantum Key Distribution under Collective Attacks
- Experimental demonstration of high-rate measurement-device-independent quantum key distribution over asymmetric channels
- Feasibility of continuous-variable quantum key distribution with noisy coherent states
- Quantum Repeaters Using Continuous Variable Teleportation
- Coherent State Quantum Key Distribution with Multi Letter Phase-Shift Keying
- Gaussian Post-selection for Continuous Variable Quantum Cryptography
- A security proof of continuous-variable QKD using three coherent states
- Parameter regimes for a single sequential quantum repeater
- Repeaters for Continuous Variable Quantum Communication
- Reverse reconciliation protocols for quantum cryptography with continuous variables
- Tight continuity bounds for the quantum conditional mutual information, for the Holevo quantity and for capacities of quantum channels
- Continuous-variable quantum repeater based on quantum scissors and mode multiplexing
- One way quantum repeaters with quantum Reed-Solomon codes
- Continuous-variable Quantum Key Distribution protocols with a discrete modulation
- Finding and breaking the realistic rate-distance limit of continuous variable quantum key distribution
- Coherent-state constellations and polar codes for thermal Gaussian channels
- Entanglement-assisted capacity of constrained quantum channel
- User-defined quantum key distribution
Cited by in corpus (19)
- Secure quantum key distribution with realistic devices
- Explicit asymptotic secret key rate of continuous-variable quantum key distribution with an arbitrary modulation
- Dimension Reduction in Quantum Key Distribution for Continuous- and Discrete-Variable Protocols
- Quantum key distribution with non-ideal heterodyne detection: composable security of discrete-modulation continuous-variable protocols
- Experimental Demonstration of Discrete Modulation Formats for Continuous Variable Quantum Key Distribution
- Discrete-modulation continuous-variable quantum key distribution with high key rate
- Neural network-based prediction of the secret-key rate of quantum key distribution
- Characterizing photon number statistics using conjugate optical homodyne detection
- Security of discrete-modulated continuous-variable quantum key distribution
- Discrete-variable quantum key distribution with homodyne detection
- Continuous-variable quantum communication
- Improved finite-size key rates for discrete-modulated continuous variable quantum key distribution under coherent attacks
- Second-order coding rates for key distillation in quantum key distribution
- Advanced Alicki-Fannes-Winter method for energy-constrained quantum systems and its use
- Continuous-variable quantum key distribution field-test with true local oscillator
- Homodyne Detection Quadrature Phase Shift Keying Continuous-Variable Quantum Key Distribution with High Excess Noise Tolerance
- Refined finite-size analysis of binary-modulation continuous-variable quantum key distribution
- Hide and seek with quantum resources: New and modified protocols for quantum steganography
- Security against collective attacks for a continuous-variable quantum key distribution protocol using homodyne detection and postselection