Nonlocality-Assisted Enhancement of Error-Free Communication in Noisy Classical Channels
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arXiv
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| Autores principales: | , , , , , , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866913798981419008 |
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| author | Agarwal, Kunika Naik, Sahil Gopalkrishna Chakraborty, Ananya Sen, Samrat Ghosal, Pratik Paul, Biswajit Banik, Manik Patra, Ram Krishna |
| author_facet | Agarwal, Kunika Naik, Sahil Gopalkrishna Chakraborty, Ananya Sen, Samrat Ghosal, Pratik Paul, Biswajit Banik, Manik Patra, Ram Krishna |
| contents | The zero-error capacity of a noisy classical channel quantifies its ability to transmit information with absolute certainty, i.e., without any error. Unlike Shannon's standard channel capacity, which remains unaffected by pre-shared correlations, zero-error capacity can be enhanced through nonlocal correlations. In this work, we investigate zero-error communication utility of such correlations arising in the 2-2-m Bell scenario, where two parties have two inputs and m possible outcomes per input. For all m\geq2, we construct examples of noisy classical channels with zero zero-error capacity that, when assisted by extremal 2-2-m nonlocal correlations, can transmit one bit of information. While nonlocal correlations arising from quantum entangled states cannot achieve a positive zero-error capacity for these channels, they significantly enhance the probability of successfully transmitting a classical bit in a single use. Extending this analysis to the 2-m-2 Bell scenario, we identify channels with zero zero-error capacity that can nonetheless perfectly transmit log m bits of information when assisted by corresponding extremal nonlocal correlations. Our findings underscore the versatile utility of Bell nonlocal correlations in achieving zero-error communication. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_04779 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Nonlocality-Assisted Enhancement of Error-Free Communication in Noisy Classical Channels Agarwal, Kunika Naik, Sahil Gopalkrishna Chakraborty, Ananya Sen, Samrat Ghosal, Pratik Paul, Biswajit Banik, Manik Patra, Ram Krishna Quantum Physics The zero-error capacity of a noisy classical channel quantifies its ability to transmit information with absolute certainty, i.e., without any error. Unlike Shannon's standard channel capacity, which remains unaffected by pre-shared correlations, zero-error capacity can be enhanced through nonlocal correlations. In this work, we investigate zero-error communication utility of such correlations arising in the 2-2-m Bell scenario, where two parties have two inputs and m possible outcomes per input. For all m\geq2, we construct examples of noisy classical channels with zero zero-error capacity that, when assisted by extremal 2-2-m nonlocal correlations, can transmit one bit of information. While nonlocal correlations arising from quantum entangled states cannot achieve a positive zero-error capacity for these channels, they significantly enhance the probability of successfully transmitting a classical bit in a single use. Extending this analysis to the 2-m-2 Bell scenario, we identify channels with zero zero-error capacity that can nonetheless perfectly transmit log m bits of information when assisted by corresponding extremal nonlocal correlations. Our findings underscore the versatile utility of Bell nonlocal correlations in achieving zero-error communication. |
| title | Nonlocality-Assisted Enhancement of Error-Free Communication in Noisy Classical Channels |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2412.04779 |