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Anyonic states, which are topologically robust originated from their peculiarstructure of Hilbert space, have important applications in quantum computingand quantum communication. When an anyonic state is used as an informationcarrier of the deterministic quantum one-time pad (DQOTP), we find that theFibonacci particle-antiparticle pair produced from vacuum can be used toasymptotically send $2\log_2 d_{\tau}$ bits of classical information($d_{\tau}$ is the quantum dimension of a Fibonacci anyon $\tau$), which equalsto the anyonic mutual information of the pair. Furthermore, by studying theDQOTP via a parameterized state of six Fibonacci anyons with trivial totalcharge, we give the analytical results of the maximum number of messages thatcan be sent for different parameters, which is a step function with every stepcorresponding to a regular simplex from the viewpoint of geometry. The resultsfor the maximum number of messages sent by the DQOTP can be explained by theanyonic accessible information.

Deterministic quantum one-time pad via Fibonacci anyons