Deterministic quantum one-time pad via Fibonacci anyons

Abstract

Anyonic states, which are topologically robust originated from their peculiar structure of Hilbert space, have important applications in quantum computing and quantum communication. When an anyonic state is used as an information carrier of the deterministic quantum one-time pad (DQOTP), we find that the Fibonacci particle-antiparticle pair produced from vacuum can be used to asymptotically send $2{\log }_2{d}_{\tau }$ bits of classical information ($d_{\tau }$ is the quantum dimension of a Fibonacci anyon $\tau$), which equals to the anyonic mutual information of the pair. Furthermore, by studying the DQOTP via a parameterized state of six Fibonacci anyons with trivial total charge, we give the analytical results of the maximum number of messages that can be sent for different parameters, which is a step function with every step corresponding to a regular simplex from the viewpoint of geometry. The results for the maximum number of messages sent by the DQOTP can be explained by the anyonic accessible information.

arXiv comment8 pages, 3 figures

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Cited by in corpus (4)

• Quantum teleportation using Ising anyons
• Topological correlation: anyonic states cannot be determined by local operations and classical communication
• Superactivation of Bell nonlocality in pure anyonic states
• Quantum mutual information redistribution by Number Partitioning algorithm