Fundamental quantum limits to waveform detection
Ever since the inception of gravitational-wave detectors, limits imposed by quantum mechanics to the detection of time-varying signals have been a subject of intense research and debate. Drawing insights from quantum information theory, quantum detection theory, and quantum measurement theory, here...
Saved in:
| Published in | arXiv.org |
|---|---|
| Main Authors | , |
| Format | Paper Journal Article |
| Language | English |
| Published |
Ithaca
Cornell University Library, arXiv.org
16.10.2012
|
| Subjects | |
| Online Access | Get full text |
| ISSN | 2331-8422 |
| DOI | 10.48550/arxiv.1204.3697 |
Cover
| Abstract | Ever since the inception of gravitational-wave detectors, limits imposed by quantum mechanics to the detection of time-varying signals have been a subject of intense research and debate. Drawing insights from quantum information theory, quantum detection theory, and quantum measurement theory, here we prove lower error bounds for waveform detection via a quantum system, settling the long-standing problem. In the case of optomechanical force detection, we derive analytic expressions for the bounds in some cases of interest and discuss how the limits can be approached using quantum control techniques. |
|---|---|
| AbstractList | Ever since the inception of gravitational-wave detectors, limits imposed by quantum mechanics to the detection of time-varying signals have been a subject of intense research and debate. Drawing insights from quantum information theory, quantum detection theory, and quantum measurement theory, here we prove lower error bounds for waveform detection via a quantum system, settling the long-standing problem. In the case of optomechanical force detection, we derive analytic expressions for the bounds in some cases of interest and discuss how the limits can be approached using quantum control techniques. Physical Review A 86, 042115 (2012) Ever since the inception of gravitational-wave detectors, limits imposed by quantum mechanics to the detection of time-varying signals have been a subject of intense research and debate. Drawing insights from quantum information theory, quantum detection theory, and quantum measurement theory, here we prove lower error bounds for waveform detection via a quantum system, settling the long-standing problem. In the case of optomechanical force detection, we derive analytic expressions for the bounds in some cases of interest and discuss how the limits can be approached using quantum control techniques. |
| Author | Nair, Ranjith Tsang, Mankei |
| Author_xml | – sequence: 1 givenname: Mankei surname: Tsang fullname: Tsang, Mankei – sequence: 2 givenname: Ranjith surname: Nair fullname: Nair, Ranjith |
| BackLink | https://doi.org/10.48550/arXiv.1204.3697$$DView paper in arXiv https://doi.org/10.1103/PhysRevA.86.042115$$DView published paper (Access to full text may be restricted) |
| BookMark | eNotj01Lw0AYhBdRsNbePUnAc-LuvvuRHKVYFQoe9B7e7AekJLttsqn6702tlxkYhmGeG3IZYnCE3DFaiFJK-ojDd3ssGKeiAFXpC7LgACwvBefXZDWOO0opV5pLCQtCN1Ow2LuQsMsOE4Y09VnX9m0asxSzLzw6H4c-sy45k9oYbsmVx250q39fko_N8-f6Nd--v7ytn7Y5SqZyEEgVs6DtrMYYB0Y22rAKgVtEW3njuQQPDUjfCItUWq1K5ea40SUsyf159Q-m3g9tj8NPfYKqT1Bz4eFc2A_xMLkx1bs4DWF-VHNaKgGcVgp-AdCWUYk |
| ContentType | Paper Journal Article |
| Copyright | 2012. This work is published under http://arxiv.org/licenses/nonexclusive-distrib/1.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License. http://arxiv.org/licenses/nonexclusive-distrib/1.0 |
| Copyright_xml | – notice: 2012. This work is published under http://arxiv.org/licenses/nonexclusive-distrib/1.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License. – notice: http://arxiv.org/licenses/nonexclusive-distrib/1.0 |
| DBID | 8FE 8FG ABJCF ABUWG AFKRA AZQEC BENPR BGLVJ CCPQU DWQXO HCIFZ L6V M7S PHGZM PHGZT PIMPY PKEHL PQEST PQGLB PQQKQ PQUKI PRINS PTHSS GOX |
| DOI | 10.48550/arxiv.1204.3697 |
| DatabaseName | ProQuest SciTech Collection ProQuest Technology Collection Materials Science & Engineering Collection ProQuest Central (Alumni) ProQuest Central UK/Ireland ProQuest Central Essentials - QC ProQuest Central Technology Collection ProQuest One ProQuest Central Korea SciTech Premium Collection ProQuest Engineering Collection Engineering Database ProQuest Central Premium ProQuest One Academic (New) ProQuest Publicly Available Content Database ProQuest One Academic Middle East (New) ProQuest One Academic Eastern Edition (DO NOT USE) ProQuest One Applied & Life Sciences ProQuest One Academic ProQuest One Academic UKI Edition ProQuest Central China Engineering collection arXiv.org |
| DatabaseTitle | Publicly Available Content Database Engineering Database Technology Collection ProQuest One Academic Middle East (New) ProQuest Central Essentials ProQuest One Academic Eastern Edition ProQuest Central (Alumni Edition) SciTech Premium Collection ProQuest One Community College ProQuest Technology Collection ProQuest SciTech Collection ProQuest Central China ProQuest Central ProQuest One Applied & Life Sciences ProQuest Engineering Collection ProQuest One Academic UKI Edition ProQuest Central Korea Materials Science & Engineering Collection ProQuest Central (New) ProQuest One Academic ProQuest One Academic (New) Engineering Collection |
| DatabaseTitleList | Publicly Available Content Database |
| Database_xml | – sequence: 1 dbid: GOX name: arXiv.org url: http://arxiv.org/find sourceTypes: Open Access Repository – sequence: 2 dbid: 8FG name: ProQuest Technology Collection url: https://search.proquest.com/technologycollection1 sourceTypes: Aggregation Database |
| DeliveryMethod | fulltext_linktorsrc |
| Discipline | Physics |
| EISSN | 2331-8422 |
| ExternalDocumentID | 1204_3697 |
| Genre | Working Paper/Pre-Print |
| GroupedDBID | 8FE 8FG ABJCF ABUWG AFKRA ALMA_UNASSIGNED_HOLDINGS AZQEC BENPR BGLVJ CCPQU DWQXO FRJ HCIFZ L6V M7S M~E PHGZM PHGZT PIMPY PKEHL PQEST PQGLB PQQKQ PQUKI PRINS PTHSS GOX |
| ID | FETCH-LOGICAL-a516-34a061d37d61dccce3c5b7c19a32daad9fcf253f3b35fb4da05d7686ecf2b783 |
| IEDL.DBID | GOX |
| IngestDate | Tue Jul 22 23:03:32 EDT 2025 Mon Jun 30 09:33:23 EDT 2025 |
| IsDoiOpenAccess | true |
| IsOpenAccess | true |
| IsPeerReviewed | false |
| IsScholarly | false |
| Language | English |
| LinkModel | DirectLink |
| MergedId | FETCHMERGED-LOGICAL-a516-34a061d37d61dccce3c5b7c19a32daad9fcf253f3b35fb4da05d7686ecf2b783 |
| Notes | SourceType-Working Papers-1 ObjectType-Working Paper/Pre-Print-1 content type line 50 |
| OpenAccessLink | https://arxiv.org/abs/1204.3697 |
| PQID | 2086432096 |
| PQPubID | 2050157 |
| ParticipantIDs | arxiv_primary_1204_3697 proquest_journals_2086432096 |
| PublicationCentury | 2000 |
| PublicationDate | 20121016 |
| PublicationDateYYYYMMDD | 2012-10-16 |
| PublicationDate_xml | – month: 10 year: 2012 text: 20121016 day: 16 |
| PublicationDecade | 2010 |
| PublicationPlace | Ithaca |
| PublicationPlace_xml | – name: Ithaca |
| PublicationTitle | arXiv.org |
| PublicationYear | 2012 |
| Publisher | Cornell University Library, arXiv.org |
| Publisher_xml | – name: Cornell University Library, arXiv.org |
| SSID | ssj0002672553 |
| Score | 1.494619 |
| SecondaryResourceType | preprint |
| Snippet | Ever since the inception of gravitational-wave detectors, limits imposed by quantum mechanics to the detection of time-varying signals have been a subject of... Physical Review A 86, 042115 (2012) Ever since the inception of gravitational-wave detectors, limits imposed by quantum mechanics to the detection of... |
| SourceID | arxiv proquest |
| SourceType | Open Access Repository Aggregation Database |
| SubjectTerms | Error detection Gravitational waves Information theory Physics - General Relativity and Quantum Cosmology Physics - Quantum Physics Quantum mechanics Quantum phenomena Quantum theory Waveform detection |
| SummonAdditionalLinks | – databaseName: ProQuest Technology Collection dbid: 8FG link: http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwfV1LS8QwEA66i-DNt-uLHrxmbd7tyYNYF0ERVNhbyasgaPfR7urPd5Lt6kHwkkNymskw32Qy8w1ClzJj2gMuY5eCBXMpU2wy6rFKqa4oM9a40O_88ChHr_x-LMZdwq3pyirXPjE6ajexIUcOj_QMwJNCxH09neEwNSr8rnYjNDZRnwDSBDvPirufHAuVCiJmtvqdjNRdV3r-9bYcEpryIZOB6akfd_544ggvxQ7qP-mpn--iDV_voa1YlWmbfZQWoU9jRb-fzBaghMVH8h5akpqknSSfeulDzJk438aKqvoAPRe3Lzcj3I04wFoQiRnXgKeOKQertdYzK4yyJNeMOq1dXtmKClYxw0RluNOpcPA-kB62jcrYIerVk9ofo0RaOM2tEpXzPDDKcCc8dYpwq4Uh-QAdRUHL6YrEogwqKIMKBuhsLXrZ2W9T_mr75P_jU7QNIQQN3pzIM9Rr5wt_DjDdmot4F9_PCZLR priority: 102 providerName: ProQuest |
| Title | Fundamental quantum limits to waveform detection |
| URI | https://www.proquest.com/docview/2086432096 https://arxiv.org/abs/1204.3697 |
| hasFullText | 1 |
| inHoldings | 1 |
| isFullTextHit | |
| isPrint | |
| link | http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwdV07T8MwED61ZWFBIF6FUjKwBhI_kxFQ0wqpBfGQukV-RUKCAm1amPjtnJOUBbF4sM_D-Szfd7K_zwBnIqHKYV4ObYQ7mAkRhTohLpQRUQWh2mjr-c7jiRg9sZspn7bgdM2FUfOv51WtD6wXFzGJ2DkVqWxDmxBfWw1vp_VlY6XE1Zj_miHCrHr-HKxVtsi2YauBecFlHZcdaLnZLkSZp13UavrBxxJ9Wr4GL55htAjKt-BTrZyHkIF1ZfVAarYHD9ng8XoUNj8WhIrHIqRMYXq0VFpsjTGOGq6liVNFiVXKpoUpCKcF1ZQXmlkVcYtwXzjs1jKh-9DBmt8dQiAMjqZG8sI65gVimOWOWBkzo7iO0y4cVI7m77UmRe6XIPdL0IXe2vW82Y6LnGDhwijBcuXo34nHsIlggPhzORY96JTzpTvBhFvqPrSTbNiHjavB5O6-XwUB2_H34AeOQ4WI |
| linkProvider | Cornell University |
| linkToHtml | http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwtV1JSwMxFH5oi-jN3WrVOehxdCbbtAcRXEqrthQX8OSQbUDQ7ov-J3-kLzMdPQjeeskhgcBb8t6X5C0AR6JCpUW_7JsANZgJEfiqQqwfBUQmhCqtjMt3brZE_YndPPPnBfjKc2FcWGVuE1NDbbravZHjJb2CzpMg4j7v9X3XNcr9ruYtNDK1uLWfU7yyDc8aVyjfY0Jq14-XdX_WVcCXPBQ-ZRJdmKGRwVFrbanmKtJhVVJipDTVRCeE04QqyhPFjAy4QUguLE6rqEJx10UoMpfPWoDixXWrff_zpkNEhAidZr-haamwUzn4eJ2chCRgJ1S4ylLFdOaP5U_dWW0Vim3Zs4M1WLCddVhKo0D1cAOCmssLycr9e_0xMn387r25FKihN-p6UzmxDuN6xo7SCK7OJjzMgfgtKHS6HbsDntC4WtURT4xlroINM9wSE4VMS67Cagm2U0LjXlY0I3YsiB0LSlDOSY9n52UY_0p39__lQ1iuPzbv4rtG63YPVhC-EOdJQlGGwmgwtvsIEUbqYCYZD17mqwrfIgHRvA |
| openUrl | ctx_ver=Z39.88-2004&ctx_enc=info%3Aofi%2Fenc%3AUTF-8&rfr_id=info%3Asid%2Fsummon.serialssolutions.com&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.atitle=Fundamental+quantum+limits+to+waveform+detection&rft.jtitle=arXiv.org&rft.au=Tsang%2C+Mankei&rft.au=Nair%2C+Ranjith&rft.date=2012-10-16&rft.pub=Cornell+University+Library%2C+arXiv.org&rft.eissn=2331-8422&rft_id=info:doi/10.48550%2Farxiv.1204.3697 |