Device-Independent Quantum Key Distribution Using Random Quantum States

Abstract

We Haar uniformly generate random states of various ranks and study their performance in an entanglement-based quantum key distribution (QKD) task. In particular, we analyze the efficacy of random two-qubit states in realizing device-independent (DI) QKD. We first find the normalized distribution of entanglement and Bell-nonlocality which are the key resource for DI-QKD for random states ranging from rank-1 to rank-4. The number of entangled as well as Bell-nonlocal states decreases as rank increases. We observe that decrease of the secure key rate is more pronounced in comparison to that of the quantum resource with increase in rank. We find that the pure state and Werner state provide the upper and lower bound, respectively, on the minimum secure key rate of all mixed two-qubit states possessing the same magnitude of entanglement under general as well as optimal collective attack strategies.

arXiv comment12 pages, 6 figures

References in corpus (25)

• Quantum Cryptography
• Quantum cryptography: Public key distribution and coin tossing
• Device-independent security of quantum cryptography against collective attacks
• Steering, Entanglement, Nonlocality, and the EPR Paradox
• Quantum data processing and error correction
• Device-independent quantum key distribution secure against collective attacks
• Fully device independent quantum key distribution
• Most quantum states are too entangled to be useful as computational resources
• Security proof for cryptographic protocols based only on the monogamy of Bell's inequality violations
• Fine-grained EPR-steering inequalities
• Symmetries in Quantum Key Distribution and the Connection between Optimal Attacks and Optimal Cloning
• Device-Independent Quantum Key Distribution with Random Key Basis
• Device-independent quantum key distribution with single-photon sources
• Quantum key distribution based on private states: unconditional security over untrusted channels with zero quantum capacity
• Bounds on entanglement in qudit subsystems
• Secure Quantum Secret Sharing without Signal Disturbance Monitoring
• Bell nonlocality is not sufficient for the security of standard device-independent quantum key distribution protocols
• Device Independent Quantum Private Query
• Long-distance twin-field quantum key distribution with entangled sources
• Overcoming the rate-distance limit of device-independent quantum key distribution
• Uniform Decoherence Effect on Localizable Entanglement in Random Multi-qubit Pure States
• Role of Bell-CHSH violation and local filtering in quantum key distribution
• $k$-uniform mixed states
• Performance of Dense Coding and Teleportation for Random States --Augmentation via Pre-processing
• Universality in Distribution of Monogamy Scores for Random Multiqubit Pure States

Cited by in corpus (2)

• Device-Independent Quantum Secure Direct Communication Under Non-Markovian Quantum Channels
• Secure One-Sided Device-Independent Quantum Key Distribution Under Collective Attacks with Enhanced Robustness