Entanglement and Open Systems in Algebraic Quantum Field Theory
Entanglement has long been the subject of discussion by philosophers of quantum theory, and has recently come to play an essential role for physicists in their development of quantum information theory. In this paper we show how the formalism of algebraic quantum field theory (AQFT) provides a rigor...
Saved in:
| Published in | Studies in History and Philosophy of Modern Physics Vol. 32; no. 1; pp. 1 - 31 |
|---|---|
| Main Authors | , |
| Format | Journal Article |
| Language | English |
| Published |
Elsevier Ltd
01.03.2001
|
| Subjects | |
| Online Access | Get full text |
| ISSN | 1355-2198 1879-2502 |
| DOI | 10.1016/S1355-2198(00)00033-2 |
Cover
| Abstract | Entanglement has long been the subject of discussion by philosophers of quantum theory, and has recently come to play an essential role for physicists in their development of quantum information theory. In this paper we show how the formalism of algebraic quantum field theory (AQFT) provides a rigorous framework within which to analyse entanglement in the context of a fully relativistic formulation of quantum theory. What emerges from the analysis are new practical and theoretical limitations on an experimenter's ability to perform operations on a field in one spacetime region that can disentangle its state from the state of the field in other spacelike-separated regions. These limitations show just how deeply entrenched entanglement is in relativistic quantum field theory, and yield a fresh perspective on the ways in which the theory differs conceptually from both standard non-relativistic quantum theory and classical relativistic field theory. |
|---|---|
| AbstractList | Entanglement has long been the subject of discussion by philosophers of quantum theory, and has recently come to play an essential role for physicists in their development of quantum information theory. In this paper we show how the formalism of algebraic quantum field theory (AQFT) provides a rigorous framework within which to analyse entanglement in the context of a fully relativistic formulation of quantum theory. What emerges from the analysis are new practical and theoretical limitations on an experimenter's ability to perform operations on a field in one spacetime region that can disentangle its state from the state of the field in other spacelike-separated regions. These limitations show just how deeply entrenched entanglement is in relativistic quantum field theory, and yield a fresh perspective on the ways in which the theory differs conceptually from both standard non-relativistic quantum theory and classical relativistic field theory. |
| Author | Halvorson, Hans Clifton, Rob |
| Author_xml | – sequence: 1 givenname: Rob surname: Clifton fullname: Clifton, Rob email: rclifton+@pitt.edu – sequence: 2 givenname: Hans surname: Halvorson fullname: Halvorson, Hans email: hphst1+@pitt.edu |
| BookMark | eNqFkEtLAzEUhYMoWB8_QZiV6GL0JmkyM7goUnyBIKKuQya5qZGZTE1Sof_e1urGTVf3LM534H4HZDcMAQk5oXBBgcrLF8qFKBlt6jOAcwDgvGQ7ZETrqimZALa7yn-VfXKQ0geAoHLMR2RyE7IOsw57DLnQwRZPcwzFyzJl7FPhQ3HdzbCN2pvieaFDXvTFrcfOFq_vOMTlEdlzukt4_HsPydvtzev0vnx8unuYXj-WhvM6l1VrjKiQMqtt3VgpxhYdax04sFWDztGWG3BctIBCUjBG8kbKdiydFFZW_JCcbnbncfhcYMqq98lg1-mAwyIpXjc1GzO2Kl5tiiYOKUV0yvissx9CXj3RKQpqLU39SFNrIwpA_UhTa1r8o-fR9zout3KTDYcrB18eo0rGYzBofUSTlR38loVvgYmF-g |
| CitedBy_id | crossref_primary_10_1093_bjps_54_3_475 crossref_primary_10_3390_e21010077 crossref_primary_10_1103_PhysRevA_77_012101 crossref_primary_10_1103_PhysRevA_111_012224 crossref_primary_10_1086_392869 crossref_primary_10_1142_S0217751X1330010X crossref_primary_10_1007_s10699_017_9520_4 crossref_primary_10_1086_656547 crossref_primary_10_1103_RevModPhys_90_035006 crossref_primary_10_1016_j_shpsb_2010_03_003 crossref_primary_10_1007_s10701_021_00411_6 crossref_primary_10_1007_s10773_015_2568_4 crossref_primary_10_1007_s13194_021_00390_5 crossref_primary_10_1007_s11229_019_02318_2 crossref_primary_10_1007_s11229_020_02671_7 crossref_primary_10_1080_09500340801983129 crossref_primary_10_1103_PhysRevD_90_084036 crossref_primary_10_1016_j_revip_2024_100095 crossref_primary_10_1016_S1355_2198_03_00033_9 crossref_primary_10_31389_pop_90 crossref_primary_10_1016_j_shpsb_2014_05_006 crossref_primary_10_1007_s10701_010_9492_5 crossref_primary_10_1016_j_shpsb_2013_09_001 crossref_primary_10_1088_1751_8113_45_2_025302 crossref_primary_10_1007_s11229_004_6248_9 crossref_primary_10_1063_1_4915292 crossref_primary_10_1080_02698595_2013_783976 crossref_primary_10_1016_j_shpsb_2014_08_014 crossref_primary_10_1103_PhysRevD_101_125021 crossref_primary_10_1016_j_physrep_2020_07_003 crossref_primary_10_1103_PhysRevA_82_032109 crossref_primary_10_1007_s10701_022_00583_9 crossref_primary_10_1093_bjps_axy041 crossref_primary_10_1007_s10670_014_9627_8 crossref_primary_10_1007_s10838_012_9197_x crossref_primary_10_1007_s13194_020_00314_9 crossref_primary_10_1016_j_shpsb_2004_02_003 crossref_primary_10_1016_j_shpsb_2004_02_002 crossref_primary_10_1103_PhysRevD_93_125003 crossref_primary_10_1080_02698595_2014_915652 crossref_primary_10_1088_1751_8113_49_30_305303 crossref_primary_10_1007_s10701_024_00756_8 crossref_primary_10_4288_kisoron_38_1_9 crossref_primary_10_1007_s13194_018_0233_5 crossref_primary_10_1103_PhysRevD_90_065032 crossref_primary_10_1016_j_shpsb_2009_02_002 crossref_primary_10_1086_656819 crossref_primary_10_1007_s13194_024_00599_0 crossref_primary_10_1103_PhysRevD_111_045016 crossref_primary_10_1093_bjps_52_3_417 crossref_primary_10_31389_pop_70 crossref_primary_10_1016_j_shpsb_2013_05_003 crossref_primary_10_1103_PhysRevA_97_052109 crossref_primary_10_1016_j_shpsb_2010_09_001 crossref_primary_10_1016_j_physleta_2017_05_033 |
| Cites_doi | 10.1103/PhysRevA.40.4277 10.1063/1.533253 10.1007/BF00401161 10.1017/CBO9780511597947.008 10.1007/978-3-642-97306-2 10.1007/BF01651583 10.1007/BF02787889 10.1016/0022-1236(78)90085-X 10.1007/BF02054660 10.1103/PhysRevA.60.4341 10.1088/0305-4470/32/32/309 10.1007/BF00249367 10.1063/1.1703932 10.1103/PhysRevLett.83.1054 10.1063/1.1704187 10.1007/BF00749686 10.1103/PhysRevA.56.R3319 10.1016/S1355-2198(02)00006-0 10.1111/j.1746-8361.1948.tb00704.x 10.1142/S0129055X90000090 10.1103/PhysRevLett.78.2275 10.1103/PhysRevA.61.012108 10.1103/PhysRevA.58.135 10.1103/PhysRevA.59.1070 10.1086/392841 10.1007/BF01646201 10.1007/BF01649590 10.1103/PhysRevA.61.042101 10.1007/BF02732693 10.1086/392869 |
| ContentType | Journal Article |
| Copyright | 2001 Elsevier Science B.V. |
| Copyright_xml | – notice: 2001 Elsevier Science B.V. |
| DBID | AAYXX CITATION 8BJ FQK JBE |
| DOI | 10.1016/S1355-2198(00)00033-2 |
| DatabaseName | CrossRef International Bibliography of the Social Sciences (IBSS) International Bibliography of the Social Sciences International Bibliography of the Social Sciences |
| DatabaseTitle | CrossRef International Bibliography of the Social Sciences (IBSS) |
| DatabaseTitleList | |
| DeliveryMethod | fulltext_linktorsrc |
| Discipline | Sciences (General) Philosophy Physics Mathematics |
| EISSN | 1879-2502 |
| EndPage | 31 |
| ExternalDocumentID | 10_1016_S1355_2198_00_00033_2 S1355219800000332 |
| GroupedDBID | --M -~X .~1 0R~ 1RT 1~. 1~5 29Q 4.4 457 4G. 5VS 7-5 71M 8P~ AACTN AAEDT AAEDW AAIAV AAIKJ AAKOC AALRI AAOAW AAQFI AAXUO ABFNM ABLJU ABMAC ABMMH ABXDB ACDAQ ACFVG ACGFS ACNNM ACRLP ADBBV ADEZE ADHUB AEBSH AEKER AETEA AFFNX AFTJW AGHFR AGUBO AGYEJ AIEXJ AIKHN AITUG AIVDX ALMA_UNASSIGNED_HOLDINGS AMRAJ ASPBG AVWKF AXJTR AZFZN BLXMC E.L EBS EFJIC EFLBG EJD EO8 EO9 EP2 EP3 FDB FEDTE FGOYB FNPLU G-Q GBLVA HVGLF HZ~ J1W KOM M41 MO0 N9A O-L O9- OAUVE OZT P2P PC. Q38 ROL SDF SDG SDP SES SPC SPD SSB SSO SSQ SSZ T5K XJT ~G- AAYWO AAYXX ABJNI ADXHL AEIPS AFXIZ AGCQF AGRNS ANKPU BNPGV CITATION SSH 8BJ EFKBS FQK JBE |
| ID | FETCH-LOGICAL-c338t-7bcc57e12dad89d654def2bf0f0d79eff1b3c0f35b0e5610cc63966b46f65d673 |
| IEDL.DBID | .~1 |
| ISSN | 1355-2198 |
| IngestDate | Thu Sep 04 16:40:03 EDT 2025 Tue Jul 01 01:42:41 EDT 2025 Thu Apr 24 23:08:10 EDT 2025 Fri Feb 23 02:31:32 EST 2024 |
| IsPeerReviewed | true |
| IsScholarly | true |
| Issue | 1 |
| Keywords | Quantum Field Von Neumann Algebra Entanglement Local Operation |
| Language | English |
| License | https://www.elsevier.com/tdm/userlicense/1.0 |
| LinkModel | DirectLink |
| MergedId | FETCHMERGED-LOGICAL-c338t-7bcc57e12dad89d654def2bf0f0d79eff1b3c0f35b0e5610cc63966b46f65d673 |
| Notes | ObjectType-Article-2 SourceType-Scholarly Journals-1 ObjectType-Feature-1 content type line 23 |
| PQID | 38982422 |
| PQPubID | 23473 |
| PageCount | 31 |
| ParticipantIDs | proquest_miscellaneous_38982422 crossref_citationtrail_10_1016_S1355_2198_00_00033_2 crossref_primary_10_1016_S1355_2198_00_00033_2 elsevier_sciencedirect_doi_10_1016_S1355_2198_00_00033_2 |
| ProviderPackageCode | CITATION AAYXX |
| PublicationCentury | 2000 |
| PublicationDate | 2001-03-01 |
| PublicationDateYYYYMMDD | 2001-03-01 |
| PublicationDate_xml | – month: 03 year: 2001 text: 2001-03-01 day: 01 |
| PublicationDecade | 2000 |
| PublicationTitle | Studies in History and Philosophy of Modern Physics |
| PublicationYear | 2001 |
| Publisher | Elsevier Ltd |
| Publisher_xml | – name: Elsevier Ltd |
| References | Kadison, Ringrose (BIB27) 1997 Lüders (BIB30) 1951; 8 1993 (Singapore: World Scientific), pp. 29–37. (Boston: MIT Press), Ch. 8. Arageorgis, A., Earman, J., and Ruetsche, L. (2001) ‘Weyling the Time Away: The Non-Unitary Implementability of Quantum Field Dynamics on Curved Spacetime and the Algebraic Approach to Quantum Field Theory’ Clifton, Feldman, Halvorson, Redhead, Wilce (BIB10) 1998; 58 Clifton, Halvorson (BIB9) 2000; 61 Haag, R. (1992) Local Quantum Physics, 2nd edn (New York: Springer). Kraus (BIB28) 1983 Segal, Goodman (BIB41) 1965; 14 Segal, I. E. (1964) ‘Quantum Fields and Analysis in the Solution Manifolds of Differential Equations’, in W. T. Martin, & I. E. Segal. (eds) Mor, T., & Terno, D. R. (1999) ‘Sufficient Conditions for Disentanglement’ Streater, Wightman (BIB42) 1989 Van Aken (BIB46) 1985; 14 Halvorson, H. (2001b) ‘Reeh–Schlieder . Bacciagaluppi, G. (1993) ‘Separation Theorems and Bell Inequalities in Algebraic Quantum Mechanics’, in P. Busch, P. Lahti and P. Mittelstaedt (eds) Connes, Størmer (BIB12) 1978; 28 Fleming, G. and Butterfield, J. N. (1999) ‘Strange Positions’, in J. N. Butterfield and Pagonis. (eds) forthcoming. Halvorson, H., & Clifton, R. (2001) ‘Are Rindler Quanta Real? Inequivalent Particle Concepts in Quantum Field Theory’, The British Journal for Philosophy of Science, forthcoming. Popescu, Rohrlich (BIB33) 1997; 56 (1998)’, in Schroer, B. (1999). ‘Basic Quantum Theory and Measurement from the Viewpoint of Local Quantum Physics’ Newton–Wigner: On Alternative Localization Schemes in Relativistic Quantum Field Theory Buchholz (BIB7) 1974; 36 Busch, Grabowski, Lahti (BIB8) 1995 Borchers (BIB4) 1960; 15 Haag, Kastler (BIB19) 1964; 5 Sakai (BIB37) 1971 Halvorson, H. (2001a) ‘Does Relativity Imply Nonlocality? Unpacking the Reeh-Schlieder Theorem’, forthcoming. Laflamme, R. (1998) ‘Review of “Separability of Very Noisy Mixed States and Implications for NMR Quantum Computing” by Braunstein Werner (BIB50) 1989; 40 Dixmier, Maréchal (BIB13) 1971; 22 (Oxford: Clarendon Press), 2nd edn. (Notre Dame: Notre Dame University Press), pp. 224–253. Vedral, Plenio, Rippin, Knight (BIB48) 1997; 78 (Cambridge: Cambridge University Press), Ch. 6. Summers, Werner (BIB45) 1995; 33 Summers, Werner (BIB44) 1988; 49 Reeh, Schlieder (BIB36) 1961; 22 Howard, D. (1989) ‘Holism, Separability, and the Metaphysical Implications of the Bell Experiments’ in J. T. Cushing, and E. McMullin, (eds) Van Fraassen (BIB47) 1991 Horuzhy (BIB24) 1988 Mor, T. (1998) ‘On the Disentanglement of States’ Redhead, M.L.G. (1995) ‘More Ado about Nothing’ Borchers (BIB5) 1965; 1 Fleming, G. (1999) ‘Reeh–Schlieder Meets Newton–Wigner’, forthcoming in Halvorson, Clifton (BIB22) 2000; 41 Clifton, Halvorson, Kent (BIB11) 2000; 61 Davies (BIB14) 1976 Redhead, M.L.G. (1989) Braunstein, Caves, Jozsa, Linden, Popescu, Schack (BIB6) 1999; 83 Kadison (BIB26) 1963; 4 25, 123–137. Werner (BIB49) 1987; 13 (East Lansing, MI: Philosophy of Science Association). Bennett, DiVincenzo, Fuchs, Mor, Rains, Schor, Smolin, Wooters (BIB3) 1999; 59 Schroer, B. (1998) ‘A Course on: ‘Modular Localization and Nonperturbative Local Quantum Physics’ Einstein (BIB15) 1948; 2 Summers (BIB43) 1990; 2 10.1016/S1355-2198(00)00033-2_BIB16 10.1016/S1355-2198(00)00033-2_BIB18 Werner (10.1016/S1355-2198(00)00033-2_BIB49) 1987; 13 10.1016/S1355-2198(00)00033-2_BIB17 Kadison (10.1016/S1355-2198(00)00033-2_BIB26) 1963; 4 Clifton (10.1016/S1355-2198(00)00033-2_BIB10) 1998; 58 10.1016/S1355-2198(00)00033-2_BIB23 Van Aken (10.1016/S1355-2198(00)00033-2_BIB46) 1985; 14 10.1016/S1355-2198(00)00033-2_BIB21 10.1016/S1355-2198(00)00033-2_BIB20 Vedral (10.1016/S1355-2198(00)00033-2_BIB48) 1997; 78 Summers (10.1016/S1355-2198(00)00033-2_BIB43) 1990; 2 Summers (10.1016/S1355-2198(00)00033-2_BIB44) 1988; 49 Streater (10.1016/S1355-2198(00)00033-2_BIB42) 1989 Davies (10.1016/S1355-2198(00)00033-2_BIB14) 1976 Clifton (10.1016/S1355-2198(00)00033-2_BIB11) 2000; 61 Halvorson (10.1016/S1355-2198(00)00033-2_BIB22) 2000; 41 Bennett (10.1016/S1355-2198(00)00033-2_BIB3) 1999; 59 Van Fraassen (10.1016/S1355-2198(00)00033-2_BIB47) 1991 Borchers (10.1016/S1355-2198(00)00033-2_BIB4) 1960; 15 10.1016/S1355-2198(00)00033-2_BIB2 10.1016/S1355-2198(00)00033-2_BIB1 Buchholz (10.1016/S1355-2198(00)00033-2_BIB7) 1974; 36 10.1016/S1355-2198(00)00033-2_BIB38 10.1016/S1355-2198(00)00033-2_BIB35 Segal (10.1016/S1355-2198(00)00033-2_BIB41) 1965; 14 10.1016/S1355-2198(00)00033-2_BIB39 Borchers (10.1016/S1355-2198(00)00033-2_BIB5) 1965; 1 Haag (10.1016/S1355-2198(00)00033-2_BIB19) 1964; 5 10.1016/S1355-2198(00)00033-2_BIB40 Horuzhy (10.1016/S1355-2198(00)00033-2_BIB24) 1988 Lüders (10.1016/S1355-2198(00)00033-2_BIB30) 1951; 8 Dixmier (10.1016/S1355-2198(00)00033-2_BIB13) 1971; 22 Kraus (10.1016/S1355-2198(00)00033-2_BIB28) 1983 Connes (10.1016/S1355-2198(00)00033-2_BIB12) 1978; 28 Einstein (10.1016/S1355-2198(00)00033-2_BIB15) 1948; 2 Summers (10.1016/S1355-2198(00)00033-2_BIB45) 1995; 33 Busch (10.1016/S1355-2198(00)00033-2_BIB8) 1995 10.1016/S1355-2198(00)00033-2_BIB25 Popescu (10.1016/S1355-2198(00)00033-2_BIB33) 1997; 56 10.1016/S1355-2198(00)00033-2_BIB29 Werner (10.1016/S1355-2198(00)00033-2_BIB50) 1989; 40 10.1016/S1355-2198(00)00033-2_BIB34 10.1016/S1355-2198(00)00033-2_BIB32 Braunstein (10.1016/S1355-2198(00)00033-2_BIB6) 1999; 83 10.1016/S1355-2198(00)00033-2_BIB31 Clifton (10.1016/S1355-2198(00)00033-2_BIB9) 2000; 61 Kadison (10.1016/S1355-2198(00)00033-2_BIB27) 1997 Sakai (10.1016/S1355-2198(00)00033-2_BIB37) 1971 Reeh (10.1016/S1355-2198(00)00033-2_BIB36) 1961; 22 |
| References_xml | – reference: Fleming, G. (1999) ‘Reeh–Schlieder Meets Newton–Wigner’, forthcoming in – reference: Schroer, B. (1999). ‘Basic Quantum Theory and Measurement from the Viewpoint of Local Quantum Physics’, – reference: 1993 (Singapore: World Scientific), pp. 29–37. – volume: 41 start-page: 1711 year: 2000 end-page: 1717 ident: BIB22 article-title: Generic Bell Correlation between Arbitrary Local Algebras in Quantum Field Theory publication-title: Journal of Mathematical Physics – reference: Howard, D. (1989) ‘Holism, Separability, and the Metaphysical Implications of the Bell Experiments’ in J. T. Cushing, and E. McMullin, (eds), – reference: Mor, T. (1998) ‘On the Disentanglement of States’, – reference: Redhead, M.L.G. (1995) ‘More Ado about Nothing’, – volume: 14 start-page: 629 year: 1965 end-page: 638 ident: BIB41 article-title: Anti-Locality of Certain Lorentz-Invariant Operators publication-title: Journal of Mathematics and Mechanics – volume: 4 start-page: 1511 year: 1963 end-page: 1516 ident: BIB26 article-title: Remarks on the Type of von Neumann Algebras of Local Observables in Quantum Field Theory publication-title: Journal of Mathematical Physics – reference: Redhead, M.L.G. (1989) – reference: Halvorson, H. (2001a) ‘Does Relativity Imply Nonlocality? Unpacking the Reeh-Schlieder Theorem’, forthcoming. – reference: . (1998)’, in – volume: 15 start-page: 784 year: 1960 end-page: 794 ident: BIB4 article-title: Über die Mannigfaltigkeit der interpolierende Felder zu einer kausalen S-matrix publication-title: Nuovo Cimento – volume: 22 start-page: 1051 year: 1961 end-page: 1068 ident: BIB36 article-title: Bemerkungen zur Unitaräquivalenz von Lorentz-invarianten Feldern publication-title: Nuovo Cimento – reference: (Boston: MIT Press), Ch. 8. – volume: 1 start-page: 57 year: 1965 end-page: 79 ident: BIB5 article-title: On the Vacuum State in Quantum Field Theory. II publication-title: Communications in Mathematical Physics – reference: Bacciagaluppi, G. (1993) ‘Separation Theorems and Bell Inequalities in Algebraic Quantum Mechanics’, in P. Busch, P. Lahti and P. Mittelstaedt (eds), – volume: 28 start-page: 187 year: 1978 end-page: 196 ident: BIB12 article-title: Homogeneity of the State Space of Factors of Type III publication-title: Journal of Functional Analysis – volume: 8 start-page: 322 year: 1951 end-page: 328 ident: BIB30 article-title: Über die Zustandsänderung durch den Messprozess publication-title: Annalen der Physik – volume: 78 start-page: 2275 year: 1997 end-page: 2279 ident: BIB48 article-title: Quantifying Entanglement publication-title: Physical Review Letters – volume: 83 start-page: 1054 year: 1999 end-page: 1057 ident: BIB6 article-title: Separability of Very Noisy Mixed States and Implications for NMR Quantum Computing publication-title: Physical Review Letters – volume: 61 start-page: 012108 year: 2000 ident: BIB9 article-title: Bipartite Mixed States of Infinite-dimensional Systems are Generically Nonseparable publication-title: Physical Review A – reference: Laflamme, R. (1998) ‘Review of “Separability of Very Noisy Mixed States and Implications for NMR Quantum Computing” by Braunstein – reference: (Cambridge: Cambridge University Press), Ch. 6. – reference: Schroer, B. (1998) ‘A Course on: ‘Modular Localization and Nonperturbative Local Quantum Physics’, – year: 1989 ident: BIB42 publication-title: PCT, Spin and Statistics, and All That – volume: 61 start-page: 042101 year: 2000 ident: BIB11 article-title: Non-local Correlations are Generic in Infinite-dimensional Bipartite Systems publication-title: Physical Review A – volume: 22 start-page: 44 year: 1971 end-page: 50 ident: BIB13 article-title: Vecteurs totalisateurs d'une algèbre de von Neumann publication-title: Communications in Mathematical Physics – volume: 59 start-page: 1070 year: 1999 end-page: 1091 ident: BIB3 article-title: Quantum Nonlocality without Entanglement publication-title: Physical Review A – volume: 13 start-page: 325 year: 1987 end-page: 329 ident: BIB49 article-title: Local Preparability of States and the Split Property publication-title: Letters in Mathematical Physics – volume: 58 start-page: 135 year: 1998 end-page: 145 ident: BIB10 article-title: Superentangled States publication-title: Physical Review A – volume: 40 start-page: 4277 year: 1989 end-page: 4281 ident: BIB50 article-title: Quantum States with Einstein–Podolsky–Rosen Correlations Admitting a Hidden-Variable Model publication-title: Physical Review A – volume: 14 start-page: 267 year: 1985 end-page: 296 ident: BIB46 article-title: Analysis of Quantum Probability Theory publication-title: Journal of Philosophical Logic – reference: . – reference: , forthcoming. – volume: 2 start-page: 201 year: 1990 end-page: 247 ident: BIB43 article-title: On the Independence of Local Algebras in Quantum Field Theory publication-title: Reviews of Mathematical Physics – volume: 2 start-page: 320 year: 1948 end-page: 324 ident: BIB15 article-title: Quantenmechanik und Wirklichkeit publication-title: Dialectica – volume: 56 start-page: R3319 year: 1997 end-page: R3321 ident: BIB33 article-title: Thermodynamics and the Measure of Entanglement publication-title: Physical Review A – year: 1976 ident: BIB14 publication-title: Quantum Theory of Open Systems – year: 1988 ident: BIB24 publication-title: Introduction to Algebraic Quantum Field Theory – year: 1983 ident: BIB28 publication-title: States, Effects, and Operations – volume: 49 start-page: 215 year: 1988 end-page: 243 ident: BIB44 article-title: Maximal violation of Bell's Inequalities for Algebras of Observables in Tangent Spacetime Regions publication-title: Annales Institut Henri Poincaré – volume: 36 start-page: 287 year: 1974 end-page: 304 ident: BIB7 article-title: Product States for Local Algebras publication-title: Communications in Mathematical Physics – year: 1997 ident: BIB27 publication-title: Fundamentals of the Theory of Operator Algebras Providence – volume: 5 start-page: 848 year: 1964 end-page: 861 ident: BIB19 article-title: An Algebraic Approach to Quantum Field Theory publication-title: Journal of Mathematical Physics – year: 1991 ident: BIB47 publication-title: Quantum Mechanics: An Empiricist View – reference: Newton–Wigner: On Alternative Localization Schemes in Relativistic Quantum Field Theory’, – reference: Arageorgis, A., Earman, J., and Ruetsche, L. (2001) ‘Weyling the Time Away: The Non-Unitary Implementability of Quantum Field Dynamics on Curved Spacetime and the Algebraic Approach to Quantum Field Theory’, – year: 1971 ident: BIB37 – reference: Mor, T., & Terno, D. R. (1999) ‘Sufficient Conditions for Disentanglement’, – reference: (East Lansing, MI: Philosophy of Science Association). – reference: Haag, R. (1992) Local Quantum Physics, 2nd edn (New York: Springer). – reference: Fleming, G. and Butterfield, J. N. (1999) ‘Strange Positions’, in J. N. Butterfield and Pagonis. (eds), – year: 1995 ident: BIB8 publication-title: Operational Quantum Physics – reference: (Oxford: Clarendon Press), 2nd edn. – volume: 33 start-page: 321 year: 1995 end-page: 334 ident: BIB45 article-title: On Bell's Inequalities and Algebraic Invariants publication-title: Letters in Mathematical Physics – reference: (Notre Dame: Notre Dame University Press), pp. 224–253. – reference: Segal, I. E. (1964) ‘Quantum Fields and Analysis in the Solution Manifolds of Differential Equations’, in W. T. Martin, & I. E. Segal. (eds), – reference: Halvorson, H. (2001b) ‘Reeh–Schlieder – reference: 25, 123–137. – reference: Halvorson, H., & Clifton, R. (2001) ‘Are Rindler Quanta Real? Inequivalent Particle Concepts in Quantum Field Theory’, The British Journal for Philosophy of Science, forthcoming. – volume: 14 start-page: 629 year: 1965 ident: 10.1016/S1355-2198(00)00033-2_BIB41 article-title: Anti-Locality of Certain Lorentz-Invariant Operators publication-title: Journal of Mathematics and Mechanics – year: 1988 ident: 10.1016/S1355-2198(00)00033-2_BIB24 – year: 1976 ident: 10.1016/S1355-2198(00)00033-2_BIB14 – volume: 40 start-page: 4277 year: 1989 ident: 10.1016/S1355-2198(00)00033-2_BIB50 article-title: Quantum States with Einstein–Podolsky–Rosen Correlations Admitting a Hidden-Variable Model publication-title: Physical Review A doi: 10.1103/PhysRevA.40.4277 – volume: 41 start-page: 1711 year: 2000 ident: 10.1016/S1355-2198(00)00033-2_BIB22 article-title: Generic Bell Correlation between Arbitrary Local Algebras in Quantum Field Theory publication-title: Journal of Mathematical Physics doi: 10.1063/1.533253 – volume: 13 start-page: 325 year: 1987 ident: 10.1016/S1355-2198(00)00033-2_BIB49 article-title: Local Preparability of States and the Split Property publication-title: Letters in Mathematical Physics doi: 10.1007/BF00401161 – volume: 8 start-page: 322 year: 1951 ident: 10.1016/S1355-2198(00)00033-2_BIB30 article-title: Über die Zustandsänderung durch den Messprozess publication-title: Annalen der Physik – ident: 10.1016/S1355-2198(00)00033-2_BIB17 doi: 10.1017/CBO9780511597947.008 – ident: 10.1016/S1355-2198(00)00033-2_BIB18 doi: 10.1007/978-3-642-97306-2 – volume: 22 start-page: 44 year: 1971 ident: 10.1016/S1355-2198(00)00033-2_BIB13 article-title: Vecteurs totalisateurs d'une algèbre de von Neumann publication-title: Communications in Mathematical Physics doi: 10.1007/BF01651583 – volume: 22 start-page: 1051 year: 1961 ident: 10.1016/S1355-2198(00)00033-2_BIB36 article-title: Bemerkungen zur Unitaräquivalenz von Lorentz-invarianten Feldern publication-title: Nuovo Cimento doi: 10.1007/BF02787889 – year: 1991 ident: 10.1016/S1355-2198(00)00033-2_BIB47 – volume: 28 start-page: 187 year: 1978 ident: 10.1016/S1355-2198(00)00033-2_BIB12 article-title: Homogeneity of the State Space of Factors of Type III1 publication-title: Journal of Functional Analysis doi: 10.1016/0022-1236(78)90085-X – ident: 10.1016/S1355-2198(00)00033-2_BIB35 doi: 10.1007/BF02054660 – ident: 10.1016/S1355-2198(00)00033-2_BIB32 doi: 10.1103/PhysRevA.60.4341 – ident: 10.1016/S1355-2198(00)00033-2_BIB39 doi: 10.1088/0305-4470/32/32/309 – volume: 14 start-page: 267 year: 1985 ident: 10.1016/S1355-2198(00)00033-2_BIB46 article-title: Analysis of Quantum Probability Theory publication-title: Journal of Philosophical Logic doi: 10.1007/BF00249367 – volume: 4 start-page: 1511 year: 1963 ident: 10.1016/S1355-2198(00)00033-2_BIB26 article-title: Remarks on the Type of von Neumann Algebras of Local Observables in Quantum Field Theory publication-title: Journal of Mathematical Physics doi: 10.1063/1.1703932 – volume: 83 start-page: 1054 year: 1999 ident: 10.1016/S1355-2198(00)00033-2_BIB6 article-title: Separability of Very Noisy Mixed States and Implications for NMR Quantum Computing publication-title: Physical Review Letters doi: 10.1103/PhysRevLett.83.1054 – volume: 5 start-page: 848 year: 1964 ident: 10.1016/S1355-2198(00)00033-2_BIB19 article-title: An Algebraic Approach to Quantum Field Theory publication-title: Journal of Mathematical Physics doi: 10.1063/1.1704187 – ident: 10.1016/S1355-2198(00)00033-2_BIB23 – volume: 33 start-page: 321 year: 1995 ident: 10.1016/S1355-2198(00)00033-2_BIB45 article-title: On Bell's Inequalities and Algebraic Invariants publication-title: Letters in Mathematical Physics doi: 10.1007/BF00749686 – volume: 56 start-page: R3319 year: 1997 ident: 10.1016/S1355-2198(00)00033-2_BIB33 article-title: Thermodynamics and the Measure of Entanglement publication-title: Physical Review A doi: 10.1103/PhysRevA.56.R3319 – ident: 10.1016/S1355-2198(00)00033-2_BIB1 doi: 10.1016/S1355-2198(02)00006-0 – volume: 2 start-page: 320 year: 1948 ident: 10.1016/S1355-2198(00)00033-2_BIB15 article-title: Quantenmechanik und Wirklichkeit publication-title: Dialectica doi: 10.1111/j.1746-8361.1948.tb00704.x – volume: 2 start-page: 201 year: 1990 ident: 10.1016/S1355-2198(00)00033-2_BIB43 article-title: On the Independence of Local Algebras in Quantum Field Theory publication-title: Reviews of Mathematical Physics doi: 10.1142/S0129055X90000090 – volume: 78 start-page: 2275 year: 1997 ident: 10.1016/S1355-2198(00)00033-2_BIB48 article-title: Quantifying Entanglement publication-title: Physical Review Letters doi: 10.1103/PhysRevLett.78.2275 – year: 1997 ident: 10.1016/S1355-2198(00)00033-2_BIB27 – year: 1989 ident: 10.1016/S1355-2198(00)00033-2_BIB42 – ident: 10.1016/S1355-2198(00)00033-2_BIB34 – ident: 10.1016/S1355-2198(00)00033-2_BIB40 – ident: 10.1016/S1355-2198(00)00033-2_BIB38 – volume: 61 start-page: 012108 year: 2000 ident: 10.1016/S1355-2198(00)00033-2_BIB9 article-title: Bipartite Mixed States of Infinite-dimensional Systems are Generically Nonseparable publication-title: Physical Review A doi: 10.1103/PhysRevA.61.012108 – volume: 58 start-page: 135 year: 1998 ident: 10.1016/S1355-2198(00)00033-2_BIB10 article-title: Superentangled States publication-title: Physical Review A doi: 10.1103/PhysRevA.58.135 – volume: 59 start-page: 1070 year: 1999 ident: 10.1016/S1355-2198(00)00033-2_BIB3 article-title: Quantum Nonlocality without Entanglement publication-title: Physical Review A doi: 10.1103/PhysRevA.59.1070 – ident: 10.1016/S1355-2198(00)00033-2_BIB20 – ident: 10.1016/S1355-2198(00)00033-2_BIB16 doi: 10.1086/392841 – year: 1983 ident: 10.1016/S1355-2198(00)00033-2_BIB28 – year: 1971 ident: 10.1016/S1355-2198(00)00033-2_BIB37 – ident: 10.1016/S1355-2198(00)00033-2_BIB31 – volume: 36 start-page: 287 year: 1974 ident: 10.1016/S1355-2198(00)00033-2_BIB7 article-title: Product States for Local Algebras publication-title: Communications in Mathematical Physics doi: 10.1007/BF01646201 – year: 1995 ident: 10.1016/S1355-2198(00)00033-2_BIB8 – volume: 1 start-page: 57 year: 1965 ident: 10.1016/S1355-2198(00)00033-2_BIB5 article-title: On the Vacuum State in Quantum Field Theory. II publication-title: Communications in Mathematical Physics doi: 10.1007/BF01649590 – ident: 10.1016/S1355-2198(00)00033-2_BIB2 – ident: 10.1016/S1355-2198(00)00033-2_BIB25 – volume: 61 start-page: 042101 year: 2000 ident: 10.1016/S1355-2198(00)00033-2_BIB11 article-title: Non-local Correlations are Generic in Infinite-dimensional Bipartite Systems publication-title: Physical Review A doi: 10.1103/PhysRevA.61.042101 – ident: 10.1016/S1355-2198(00)00033-2_BIB29 – volume: 15 start-page: 784 year: 1960 ident: 10.1016/S1355-2198(00)00033-2_BIB4 article-title: Über die Mannigfaltigkeit der interpolierende Felder zu einer kausalen S-matrix publication-title: Nuovo Cimento doi: 10.1007/BF02732693 – ident: 10.1016/S1355-2198(00)00033-2_BIB21 doi: 10.1086/392869 – volume: 49 start-page: 215 year: 1988 ident: 10.1016/S1355-2198(00)00033-2_BIB44 article-title: Maximal violation of Bell's Inequalities for Algebras of Observables in Tangent Spacetime Regions publication-title: Annales Institut Henri Poincaré |
| SSID | ssj0051643 ssj0000189 |
| Score | 1.8139818 |
| Snippet | Entanglement has long been the subject of discussion by philosophers of quantum theory, and has recently come to play an essential role for physicists in their... |
| SourceID | proquest crossref elsevier |
| SourceType | Aggregation Database Enrichment Source Index Database Publisher |
| StartPage | 1 |
| SubjectTerms | Algebra Entanglement Local Operation Mathematical methods Mathematics Philosophy of science Physics Quantum Field Quantum physics Von Neumann Algebra |
| Title | Entanglement and Open Systems in Algebraic Quantum Field Theory |
| URI | https://dx.doi.org/10.1016/S1355-2198(00)00033-2 https://www.proquest.com/docview/38982422 |
| Volume | 32 |
| hasFullText | 1 |
| inHoldings | 1 |
| isFullTextHit | |
| isPrint | |
| link | http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwnV1LSyQxEC7EZcGLrLOKuu6Ywx700E66O530nGQYZph9iboreAt5DgPaijNz8OJvt9Kd9rGwCJ6aDlTorlSqvpCvqgC-cZcKr7RNCuryBOMtS5Q1ZWKE0b7fV2kqQr7z7xM-uWA_LovLFRi2uTCBVhl9f-PTa28dR3pRm73b2az3J8VQifutrHFungc_zJgItn70kL4oIRXKqTcvBZ4NasY9SiZB9Dmlp5muHjyg9JA2Pc7-F6z-cdt1LBp_gvUIIsmg-c4NWHFVB9ZO264E9x34WDM7zbwDG3H3zslBLDF9-BmORxWCwmlDHSeqsiQQS0gsX05mFRlcTcOV8syQsyUqf3lNxoHrRppc_k24GI_-DidJbKWQGDyDLhKhjSmESzOrbNm3vGDW-Ux76qkVfed9qnNDfV5o6gKiMgaRC-eacc8Ly0W-BavVTeW2gbDUlghbMsdywbTm6AC0Ur7MmBJcG70DrNWZNLHOeGh3cSWfCGVB1TKoWtJQnBRVLbMdOHoSu20KbbwlULYLIl9ZjMRg8JbofruAEndTuCJRlbtZziXCN_yRLNt9_-RfYO2Zp7YHq4u7pfuKwGWhu7VlduHDYHj-6zQ8v_-cnDwCbvXltA |
| linkProvider | Elsevier |
| linkToHtml | http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwnV1LSyQxEC5kZFkvouMu6zsHD3ronXR3Ouk5ySAO46rDLqvgLeQpA9qKM3Pw31vpTvsCETx2oEJ3Jan6Qn_1FcAed6nwStukoC5PMN-yRFlTJkYY7ft9laYi1Dufj_nokv25Kq4W4KithQm0yhj7m5heR-s40ove7N1PJr3_KaZKPG9ljXPzHOPwIivwtteBxcHJ6Wj8SkUqKKo3DwVeD2rSPRonwfqlqqeZsR7cp_SANm3OPspX7yJ3nY6GK7AccSQZNK-6Cguu6sLS37YxwWMXvtXkTjPtwmo8wFOyH1WmD9bg8LhCXHjdsMeJqiwJ3BISFczJpCKDm-vwV3liyL85-n9-S4aB7kaacv4fcDk8vjgaJbGbQmLwGjpLhDamEC7NrLJl3_KCWecz7amnVvSd96nODfV5oakLoMoYBC-ca8Y9LywX-U_oVHeV-wWEpbZE5JI5lgumNccYoJXyZcaU4NrodWCtz6SJUuOh48WNfOaUBVfL4GpJgz4pulpm6_D72ey-0dr4zKBsF0S-2TQS88FnprvtAko8UOEviarc3XwqEcHhh2TZxtcn34Xvo4vzM3l2Mj7dhKUX2toWdGYPc7eNOGamd-I-fQJH3ObW |
| 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=Entanglement+and+Open+Systems+in+Algebraic+Quantum+Field+Theory&rft.jtitle=Studies+in+History+and+Philosophy+of+Science+Part+B%3A+Studies+in+History+and+Philosophy+of+Modern+Physics&rft.au=Clifton%2C+Rob&rft.au=Halvorson%2C+Hans&rft.date=2001-03-01&rft.issn=1355-2198&rft.volume=32&rft.issue=1&rft.spage=1&rft.epage=31&rft_id=info:doi/10.1016%2FS1355-2198%2800%2900033-2&rft.externalDBID=n%2Fa&rft.externalDocID=10_1016_S1355_2198_00_00033_2 |
| thumbnail_l | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=1355-2198&client=summon |
| thumbnail_m | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=1355-2198&client=summon |
| thumbnail_s | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=1355-2198&client=summon |