From Qubits to Qumodes: Information Capacity of Anyonic Excitations

Satish Prajapati

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arXiv · 2509.03546

From Qubits to Qumodes: Information Capacity of Anyonic Excitations

Satish Prajapati

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Abstract

The interplay between quantum statistics and information encoding is a cornerstone of quantum physics. Here, the maximum information capacity of a quantum state governed by Haldane's exclusion statistics is derived. The capacity, defined by the maximum von Neumann entropy of its occupancy distribution, follows S_max(g) = log2(\lfloor 1/g \rfloor + 1). This result continuously interpolates between the fermionic limit of a single qubit (g = 1) and the bosonic limit of a continuous-variable qumode (g -> 0). For the nu = 1/3 fractional quantum Hall state (g = 1/3), we predict a 2-bit capacity, observable as four distinct quantized conductance plateaus in quantum dot spectroscopy, providing a direct signature of anyonic statistics.

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Satish Prajapati. 2025-09-02. From Qubits to Qumodes: Information Capacity of Anyonic Excitations. https://arxiv.org/abs/2509.03546

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