Quantum-optimal information encoding using noisy passive linear optics
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 in...
Saved in:
Main Authors: | , , , , , , , |
---|---|
Other Authors: | |
Format: | Article |
Language: | English |
Published: |
2024
|
Subjects: | |
Online Access: | https://hdl.handle.net/10356/178637 |
Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Institution: | Nanyang Technological University |
Language: | English |
id |
sg-ntu-dr.10356-178637 |
---|---|
record_format |
dspace |
spelling |
sg-ntu-dr.10356-1786372024-07-08T15:34:41Z 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 School of Physical and Mathematical Sciences Centre for Quantum Technologies, NUS Institute of High Performance Computing, A*STAR Nanyang Quantum Hub CNRS-UNS-NUS-NTU International Joint Research Unit, UMI 3654 Physics Environmental thermal noise Quantum-optimal information 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. Agency for Science, Technology and Research (A*STAR) Ministry of Education (MOE) National Research Foundation (NRF) Published version This work is supported by the Singapore Ministry of Education Tier 2 Grant MOE-T2EP50221-0005, The Singapore Ministry of Education Tier 1 Grants RG146/20 and RG77/22, grant no. FQXi-RFP-1809 (The Role of Quantum Effects in Simplifying Quantum Agents) from the Foundational Questions Institute and Fetzer Franklin Fund (a donor-advised fund of Silicon Valley Community Foundation) and the National Research Foundation, Singapore, and Agency for Science, Technology and Research (A*STAR) under its QEP2.0 programme (NRF2021-QEP2-02-P06). V.N. acknowledges support from the Lee Kuan Yew Endowment Fund (Postdoctoral Fellowship). A.T. acknowledges support from CQT PhD scholarship. 2024-07-02T02:27:27Z 2024-07-02T02:27:27Z 2024 Journal Article Tanggara, A., Nair, R., Assad, S., Narasimhachar, V., Tserkis, S., Thompson, J., Lam, P. K. & Gu, M. (2024). Quantum-optimal information encoding using noisy passive linear optics. Quantum, 8, 1218-. https://dx.doi.org/10.22331/q-2024-01-04-1218 2521-327X https://hdl.handle.net/10356/178637 10.22331/q-2024-01-04-1218 2-s2.0-85182936182 8 1218 en MOE-T2EP50221-0005 RG146/20 RG77/22 NRF2021-QEP2-02-P06 Quantum © The Authors. Published under CC-BY 4.0. application/pdf |
institution |
Nanyang Technological University |
building |
NTU Library |
continent |
Asia |
country |
Singapore Singapore |
content_provider |
NTU Library |
collection |
DR-NTU |
language |
English |
topic |
Physics Environmental thermal noise Quantum-optimal information |
spellingShingle |
Physics Environmental thermal noise Quantum-optimal information Tanggara, Andrew Nair, Ranjith Assad, Syed Narasimhachar, Varun Tserkis, Spyros Thompson, Jayne Lam, Ping Koy Gu, Mile Quantum-optimal information encoding using noisy passive linear optics |
description |
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. |
author2 |
School of Physical and Mathematical Sciences |
author_facet |
School of Physical and Mathematical Sciences Tanggara, Andrew Nair, Ranjith Assad, Syed Narasimhachar, Varun Tserkis, Spyros Thompson, Jayne Lam, Ping Koy Gu, Mile |
format |
Article |
author |
Tanggara, Andrew Nair, Ranjith Assad, Syed Narasimhachar, Varun Tserkis, Spyros Thompson, Jayne Lam, Ping Koy Gu, Mile |
author_sort |
Tanggara, Andrew |
title |
Quantum-optimal information encoding using noisy passive linear optics |
title_short |
Quantum-optimal information encoding using noisy passive linear optics |
title_full |
Quantum-optimal information encoding using noisy passive linear optics |
title_fullStr |
Quantum-optimal information encoding using noisy passive linear optics |
title_full_unstemmed |
Quantum-optimal information encoding using noisy passive linear optics |
title_sort |
quantum-optimal information encoding using noisy passive linear optics |
publishDate |
2024 |
url |
https://hdl.handle.net/10356/178637 |
_version_ |
1814047444877443072 |