Quantum-optimal information encoding using noisy passive linear optics
Fuente:
arXiv
Saved in:
| Main Authors: | , , , , , , , |
|---|---|
| Format: | Preprint |
| Published: |
2023
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866911752122269696 |
|---|---|
| author | Tanggara, Andrew Nair, Ranjith Assad, Syed Narasimhachar, Varun Tserkis, Spyros Thompson, Jayne Lam, Ping Koy Gu, Mile |
| author_facet | Tanggara, Andrew Nair, Ranjith Assad, Syed Narasimhachar, Varun Tserkis, Spyros Thompson, Jayne Lam, Ping Koy Gu, Mile |
| contents | The amount of information that a noisy channel can transmit has been one of the primary subjects of interest in information theory. In this work we consider a practically-motivated family of optical quantum channels that can be implemented without an external energy source. We optimize the Holevo information over procedures that encode information in attenuations and phase-shifts applied by these channels on a resource state of finite energy. It is shown that for any given input state and environment temperature, the maximum Holevo information can be achieved by an encoding procedure that uniformly distributes the channel's phase-shift parameter. Moreover for large families of input states, any maximizing encoding scheme has a finite number of channel attenuation values, simplifying the codewords to a finite number of rings around the origin in the output phase space. The above results and numerical evidence suggests that this property holds for all resource states. Our results are directly applicable to the quantum reading of an optical memory in the presence of environmental thermal noise. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2304_12365 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Quantum-optimal information encoding using noisy passive linear optics Tanggara, Andrew Nair, Ranjith Assad, Syed Narasimhachar, Varun Tserkis, Spyros Thompson, Jayne Lam, Ping Koy Gu, Mile Quantum Physics The amount of information that a noisy channel can transmit has been one of the primary subjects of interest in information theory. In this work we consider a practically-motivated family of optical quantum channels that can be implemented without an external energy source. We optimize the Holevo information over procedures that encode information in attenuations and phase-shifts applied by these channels on a resource state of finite energy. It is shown that for any given input state and environment temperature, the maximum Holevo information can be achieved by an encoding procedure that uniformly distributes the channel's phase-shift parameter. Moreover for large families of input states, any maximizing encoding scheme has a finite number of channel attenuation values, simplifying the codewords to a finite number of rings around the origin in the output phase space. The above results and numerical evidence suggests that this property holds for all resource states. Our results are directly applicable to the quantum reading of an optical memory in the presence of environmental thermal noise. |
| title | Quantum-optimal information encoding using noisy passive linear optics |
| topic | Quantum Physics |
| url | https://arxiv.org/abs/2304.12365 |