Article · Laser Physics Letters · November 10, 2015

On the concept of cryptographic quantum hashing

Farid Mansurovich Ablayev, Marat Ablayev

Abstract

Abstract In the letter we define the notion of a quantum resistant ( -resistant) hash function which consists of a combination of pre-image (one-way) resistance ( ε -resistance) and collision resistance ( δ -resistance) properties. We present examples and discussion that supports the idea of quantum hashing. We present an explicit quantum hash function which is ‘balanced’, one-way resistant and collision resistant and demonstrate how to build a large family of quantum hash functions. Balanced quantum hash functions need a high degree of entanglement between the qubits. We use a phase transformation technique to express quantum hashing constructions, which is an effective way of mapping hash states to coherent states in a superposition of time-bin modes. The phase transformation technique is ready to be implemented with current optical technology.

Quantum Information and CryptographyQuantum Computing Algorithms and ArchitectureCryptography and Data Securityquantum resistancecollision resistanceentanglement

On the concept of cryptographic quantum hashing

Abstract

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