Tomographic Quantum Cryptography

Abstract

We present a protocol for quantum cryptography in which the data obtained for mismatched bases are used in full for the purpose of quantum state tomography. Eavesdropping on the quantum channel is seriously impeded by requiring that the outcome of the tomography is consistent with unbiased noise in the channel. We study the incoherent eavesdropping attacks that are still permissible and establish under which conditions a secure cryptographic key can be generated. The whole analysis is carried out for channels that transmit quantum systems of any finite dimension.

REVTeX4, 9 pages, 3 figures, 1 table

References in corpus (2)

• Solution to the King's Problem in prime power dimensions
• Ascertaining the Values of ${\sigma }_x$, ${\sigma }_y$, and ${\sigma }_z$ of a Polarization Qubit

Cited by in corpus (27)

• On mutually unbiased bases
• Security Proof for Quantum Key Distribution Using Qudit Systems
• Minimal qubit tomography
• Experimental investigation of high-dimensional quantum key distribution protocols with twisted photons
• Experimental Polarization State Tomography using Optimal Polarimeters
• Quantum State Tomography with Joint SIC POMs and Product SIC POMs
• Wigner tomography of two qubit states and quantum cryptography
• Tomography increases key rates of quantum-key-distribution protocols
• Finite key analysis for symmetric attacks in quantum key distribution
• Tomograms for open quantum systems: in(finite) dimensional optical and spin systems
• Min-entropy and quantum key distribution: non-zero key rates for "small" numbers of signals
• Quantum key distribution rates from semidefinite programming
• Learning unknown pure quantum states
• Iterative procedure for computing accessible information in quantum communication
• Full tomography from compatible measurements
• How well can you know the edge of a quantum pyramid?
• Tomographic Quantum Cryptography Protocols are Reference Frame Independent
• Quantum Cryptography: Security Criteria Reexamined
• Unbiased non-orthogonal bases for tomographic reconstruction
• Efficient quantum key distribution with trines of reference-frame-free qubits
• Quantum tomographic cryptography with Bell diagonal states: non-equivalence of classical and quantum distillation protocols
• Experimental Learning of Pure Quantum States using Sequential Single-Shot Measurement Outcomes
• Underwater Quantum Key Distribution in Outdoor Conditions with Twisted Photons
• Experimental single-copy distillation of quantumness from higher-dimensional entanglement
• Coherent Eavesdropping Attacks in Quantum Cryptography: Nonequivalence of Quantum and Classical Key Distillation
• A Study of Channel Estimation and Postprocessing in Quantum Key Distribution Protocols
• Quantum Tomographic Cryptography with a Semiconductor Single Photon Source