Wigner–Yanase Skew Information and Uncertainty Relations for Quaternionic Mixed States

In this note, we first derive a Schödinger uncertainty relation for any pair of quaternionic observables and a mixed state. Then, the Wigner–Yanase skew information is introduced in the quaternion setting. Based on the skew information, we establish a new quantum uncertainty inequality for the non-H...

Full description

Saved in:
Bibliographic Details
Published in:Advances in applied Clifford algebras 2022-11, Vol.32 (5), Article 58
Main Authors: Li, Wenxin, Lian, Pan, Liang, Yuxia
Format: Article
Language:English
Subjects:
Applications of Mathematics
Mathematical and Computational Physics
Mathematical Methods in Physics
Physics
Physics and Astronomy
Quaternions
Theoretical
Uncertainty
Citations: Items that this one cites
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
cited_by
cites cdi_FETCH-LOGICAL-c200t-58bb6a23d447cbce81dc90e535a490e1f04ef3a153f254eb6d061a16c930669f3
container_end_page
container_issue 5
container_start_page
container_title Advances in applied Clifford algebras
container_volume 32
creator Li, Wenxin
Lian, Pan
Liang, Yuxia
description In this note, we first derive a Schödinger uncertainty relation for any pair of quaternionic observables and a mixed state. Then, the Wigner–Yanase skew information is introduced in the quaternion setting. Based on the skew information, we establish a new quantum uncertainty inequality for the non-Hermitian quaternionic observables.
doi_str_mv 10.1007/s00006-022-01243-x
format article
fullrecord <record><control><sourceid>proquest_cross</sourceid><recordid>TN_cdi_proquest_journals_2722362701</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>2722362701</sourcerecordid><originalsourceid>FETCH-LOGICAL-c200t-58bb6a23d447cbce81dc90e535a490e1f04ef3a153f254eb6d061a16c930669f3</originalsourceid><addsrcrecordid>eNp9kM1OwzAMxyMEEmPwApwicQ44SZu2RzTxMWkI8TEBpyhN3aljS0fSie3GO_CGPAlhQ-KGL5bt_9-2foQcczjlANlZgBiKgRAMuEgkW-2QHleKs6SAYpf0gOc5ywCKfXIQwhQgUVLmPfL81Ewc-q-PzxfjTED68IrvdOjq1s9N17SOGlfRsbPoO9O4bk3vcbYZBBo19G5pOvQu1o2lN80KK_rQxVY4JHu1mQU8-s19Mr68eBxcs9Ht1XBwPmJWAHQszctSGSGrJMlsaTHnlS0AU5ma-DnyGhKspeGprEWaYKkqUNxwZQsJShW17JOT7d6Fb9-WGDo9bZfexZNaZEJIJTLgUSW2KuvbEDzWeuGbufFrzUH_ENRbgjoS1BuCehVNcmsKUewm6P9W_-P6BiaOdY4</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>2722362701</pqid></control><display><type>article</type><title>Wigner–Yanase Skew Information and Uncertainty Relations for Quaternionic Mixed States</title><source>Springer Nature:Jisc Collections:Springer Nature Read and Publish 2023-2025: Springer Reading List</source><creator>Li, Wenxin ; Lian, Pan ; Liang, Yuxia</creator><creatorcontrib>Li, Wenxin ; Lian, Pan ; Liang, Yuxia</creatorcontrib><description>In this note, we first derive a Schödinger uncertainty relation for any pair of quaternionic observables and a mixed state. Then, the Wigner–Yanase skew information is introduced in the quaternion setting. Based on the skew information, we establish a new quantum uncertainty inequality for the non-Hermitian quaternionic observables.</description><identifier>ISSN: 0188-7009</identifier><identifier>EISSN: 1661-4909</identifier><identifier>DOI: 10.1007/s00006-022-01243-x</identifier><language>eng</language><publisher>Cham: Springer International Publishing</publisher><subject>Applications of Mathematics ; Mathematical and Computational Physics ; Mathematical Methods in Physics ; Physics ; Physics and Astronomy ; Quaternions ; Theoretical ; Uncertainty</subject><ispartof>Advances in applied Clifford algebras, 2022-11, Vol.32 (5), Article 58</ispartof><rights>The Author(s), under exclusive licence to Springer Nature Switzerland AG 2022. Springer Nature or its licensor holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><cites>FETCH-LOGICAL-c200t-58bb6a23d447cbce81dc90e535a490e1f04ef3a153f254eb6d061a16c930669f3</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>314,780,784,27923,27924</link.rule.ids></links><search><creatorcontrib>Li, Wenxin</creatorcontrib><creatorcontrib>Lian, Pan</creatorcontrib><creatorcontrib>Liang, Yuxia</creatorcontrib><title>Wigner–Yanase Skew Information and Uncertainty Relations for Quaternionic Mixed States</title><title>Advances in applied Clifford algebras</title><addtitle>Adv. Appl. Clifford Algebras</addtitle><description>In this note, we first derive a Schödinger uncertainty relation for any pair of quaternionic observables and a mixed state. Then, the Wigner–Yanase skew information is introduced in the quaternion setting. Based on the skew information, we establish a new quantum uncertainty inequality for the non-Hermitian quaternionic observables.</description><subject>Applications of Mathematics</subject><subject>Mathematical and Computational Physics</subject><subject>Mathematical Methods in Physics</subject><subject>Physics</subject><subject>Physics and Astronomy</subject><subject>Quaternions</subject><subject>Theoretical</subject><subject>Uncertainty</subject><issn>0188-7009</issn><issn>1661-4909</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2022</creationdate><recordtype>article</recordtype><recordid>eNp9kM1OwzAMxyMEEmPwApwicQ44SZu2RzTxMWkI8TEBpyhN3aljS0fSie3GO_CGPAlhQ-KGL5bt_9-2foQcczjlANlZgBiKgRAMuEgkW-2QHleKs6SAYpf0gOc5ywCKfXIQwhQgUVLmPfL81Ewc-q-PzxfjTED68IrvdOjq1s9N17SOGlfRsbPoO9O4bk3vcbYZBBo19G5pOvQu1o2lN80KK_rQxVY4JHu1mQU8-s19Mr68eBxcs9Ht1XBwPmJWAHQszctSGSGrJMlsaTHnlS0AU5ma-DnyGhKspeGprEWaYKkqUNxwZQsJShW17JOT7d6Fb9-WGDo9bZfexZNaZEJIJTLgUSW2KuvbEDzWeuGbufFrzUH_ENRbgjoS1BuCehVNcmsKUewm6P9W_-P6BiaOdY4</recordid><startdate>20221101</startdate><enddate>20221101</enddate><creator>Li, Wenxin</creator><creator>Lian, Pan</creator><creator>Liang, Yuxia</creator><general>Springer International Publishing</general><general>Springer Nature B.V</general><scope>AAYXX</scope><scope>CITATION</scope></search><sort><creationdate>20221101</creationdate><title>Wigner–Yanase Skew Information and Uncertainty Relations for Quaternionic Mixed States</title><author>Li, Wenxin ; Lian, Pan ; Liang, Yuxia</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c200t-58bb6a23d447cbce81dc90e535a490e1f04ef3a153f254eb6d061a16c930669f3</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2022</creationdate><topic>Applications of Mathematics</topic><topic>Mathematical and Computational Physics</topic><topic>Mathematical Methods in Physics</topic><topic>Physics</topic><topic>Physics and Astronomy</topic><topic>Quaternions</topic><topic>Theoretical</topic><topic>Uncertainty</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Li, Wenxin</creatorcontrib><creatorcontrib>Lian, Pan</creatorcontrib><creatorcontrib>Liang, Yuxia</creatorcontrib><collection>CrossRef</collection><jtitle>Advances in applied Clifford algebras</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Li, Wenxin</au><au>Lian, Pan</au><au>Liang, Yuxia</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Wigner–Yanase Skew Information and Uncertainty Relations for Quaternionic Mixed States</atitle><jtitle>Advances in applied Clifford algebras</jtitle><stitle>Adv. Appl. Clifford Algebras</stitle><date>2022-11-01</date><risdate>2022</risdate><volume>32</volume><issue>5</issue><artnum>58</artnum><issn>0188-7009</issn><eissn>1661-4909</eissn><abstract>In this note, we first derive a Schödinger uncertainty relation for any pair of quaternionic observables and a mixed state. Then, the Wigner–Yanase skew information is introduced in the quaternion setting. Based on the skew information, we establish a new quantum uncertainty inequality for the non-Hermitian quaternionic observables.</abstract><cop>Cham</cop><pub>Springer International Publishing</pub><doi>10.1007/s00006-022-01243-x</doi></addata></record>
fulltext fulltext
identifier ISSN: 0188-7009
ispartof Advances in applied Clifford algebras, 2022-11, Vol.32 (5), Article 58
issn 0188-7009
1661-4909
language eng
recordid cdi_proquest_journals_2722362701
source Springer Nature:Jisc Collections:Springer Nature Read and Publish 2023-2025: Springer Reading List
subjects Applications of Mathematics
Mathematical and Computational Physics
Mathematical Methods in Physics
Physics
Physics and Astronomy
Quaternions
Theoretical
Uncertainty
title Wigner–Yanase Skew Information and Uncertainty Relations for Quaternionic Mixed States
url http://sfxeu10.hosted.exlibrisgroup.com/loughborough?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-01-10T08%3A44%3A49IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-proquest_cross&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Wigner%E2%80%93Yanase%20Skew%20Information%20and%20Uncertainty%20Relations%20for%20Quaternionic%20Mixed%20States&rft.jtitle=Advances%20in%20applied%20Clifford%20algebras&rft.au=Li,%20Wenxin&rft.date=2022-11-01&rft.volume=32&rft.issue=5&rft.artnum=58&rft.issn=0188-7009&rft.eissn=1661-4909&rft_id=info:doi/10.1007/s00006-022-01243-x&rft_dat=%3Cproquest_cross%3E2722362701%3C/proquest_cross%3E%3Cgrp_id%3Ecdi_FETCH-LOGICAL-c200t-58bb6a23d447cbce81dc90e535a490e1f04ef3a153f254eb6d061a16c930669f3%3C/grp_id%3E%3Coa%3E%3C/oa%3E%3Curl%3E%3C/url%3E&rft_id=info:oai/&rft_pqid=2722362701&rft_id=info:pmid/&rfr_iscdi=true