Quantum Secret Sharing and Random Hopping; Using single states instead of entanglement

Abstract

Quantum protocols for secret sharing usually rely on multi-party entanglement which with present technology is very difficult to achieve. Recently it has been shown that sequential manipulation and communication of a single $d-$ level state can do the same task of secret sharing between $N$ parties, hence alleviating the need for entanglement. However the suggested protocol which is based on using mutually unbiased bases, works only when $d$ is a prime number. We propose a new sequential protocol which is valid for any $d$.

5 pages, 3 figures, introduction revised, references added

References in corpus (5)

• Cryptanalysis of the Hillery-Buzek-Berthiaume quantum secret-sharing protocol
• Continuous Variable Quantum Cryptography using Two-Way Quantum Communication
• Quantum secret sharing between multi-party and multi-party without entanglement
• Experimental Quantum Secret Sharing and Third-Man Quantum Cryptography
• Experimental demonstration of four-party quantum secret sharing

Cited by in corpus (12)

• Unconditional security of entanglement-based continuous-variable quantum secret sharing
• Experimental quantum secret sharing with spin-orbit structured photons
• Differential phase shift quantum secret sharing using twin field
• A verifiable framework of entanglement-free quantum secret sharing with information-theoretical security
• Device Independent Quantum Secret Sharing in Arbitrary Even Dimension
• Verifiable Threshold Quantum Secret Sharing with Sequential Communication
• A Generalized Information Theoretical Model for Quantum Secret Sharing
• A quantum secret sharing scheme with verifiable function
• Computing on Quantum Shared Secrets for General Quantum Access Structures
• Weak entanglement improves quantum communication using only product measurements
• $(t,n)$ Threshold $d$-level quantum secret sharing based on quantum Fourier transformation
• Quantum Access Structure and Secret Sharing