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| Format: | Preprint |
| Published: |
2025
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| Online Access: | https://arxiv.org/abs/2509.03546 |
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| _version_ | 1866909769215770624 |
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| author | Prajapati, Satish |
| author_facet | Prajapati, Satish |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_03546 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | From Qubits to Qumodes: Information Capacity of Anyonic Excitations Prajapati, Satish Mesoscale and Nanoscale Physics 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. |
| title | From Qubits to Qumodes: Information Capacity of Anyonic Excitations |
| topic | Mesoscale and Nanoscale Physics |
| url | https://arxiv.org/abs/2509.03546 |