Cyclic Mutually Unbiased Bases and Quantum Public-Key Encryption

Abstract

The thesis is mainly about the construction and implementation of cyclic mutually unbiased bases, dealing with different entanglement structures by discussing the related group structures. A recursive construction for Fermat number dimensions is given and related to Wiedemann's conjecture for systems with more than 2048 qubits. The second part of the thesis analyses a quantum public-key encryption scheme.

PhD thesis, published 2013. 156 pages

References in corpus (9)

• Applications of single-qubit rotations in quantum public-key cryptography
• Mutually unbiased bases, orthogonal Latin squares, and hidden-variable models
• Optimal quantum state reconstruction for cold trapped ions
• Properties of the extended Clifford group with applications to SIC-POVMs and MUBs
• Generation of mutually unbiased bases as powers of a unitary matrix in 2-power dimensions
• Deterministic quantum-public-key encryption: forward search attack and randomization
• Symmetries and security of a quantum-public-key encryption based on single-qubit rotations
• Asymptotic correctability of Bell-diagonal quantum states and maximum tolerable bit error rates
• On determinants of random symmetric matrices over Z_m