Mixed-state parameterization and two-qubit entanglement

Abstract A generic scheme for the parameterization of mixed-state systems is introduced. A slightly modified version specially for bipartite systems is then given, and especially applied to a two-qubit system. Various features of two-qubit entanglement are analyzed based on the scheme. Our formulati...
Ausführliche Beschreibung

Gespeichert in:

Autor*in:	Kong, Otto C. W. [verfasserIn] Ting, Hock King

Format:	E-Artikel
Sprache:	Englisch

Erschienen:	2022

Schlagwörter:	Mixed-state parameterization Two-qubit entanglement Concurrence Negativity

Anmerkung:	© The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature 2022

Übergeordnetes Werk:	Enthalten in: Quantum information processing - Dordrecht : Springer Science + Business Media B.V., 2002, 21(2022), 7 vom: 11. Juli
Übergeordnetes Werk:	volume:21 ; year:2022 ; number:7 ; day:11 ; month:07

Links:	Volltext

DOI / URN:	10.1007/s11128-022-03589-4

Katalog-ID:	SPR047545356

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520			\|a Abstract A generic scheme for the parameterization of mixed-state systems is introduced. A slightly modified version specially for bipartite systems is then given, and especially applied to a two-qubit system. Various features of two-qubit entanglement are analyzed based on the scheme. Our formulation of the parameterization and the analysis of entanglement properties exploit the interplay between pure states as Hilbert space vectors and pure as well as mixed states as density matrices. Explicit entanglement results are presented, in terms of negativity and concurrence, for all two-qubit mixed states with one single parameter/coordinate among the full set of fifteen being zero and a few other interesting cases.
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allfields	10.1007/s11128-022-03589-4 doi (DE-627)SPR047545356 (SPR)s11128-022-03589-4-e DE-627 ger DE-627 rakwb eng Kong, Otto C. W. verfasserin (orcid)0000-0003-3832-648X aut Mixed-state parameterization and two-qubit entanglement 2022 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature 2022 Abstract A generic scheme for the parameterization of mixed-state systems is introduced. A slightly modified version specially for bipartite systems is then given, and especially applied to a two-qubit system. Various features of two-qubit entanglement are analyzed based on the scheme. Our formulation of the parameterization and the analysis of entanglement properties exploit the interplay between pure states as Hilbert space vectors and pure as well as mixed states as density matrices. Explicit entanglement results are presented, in terms of negativity and concurrence, for all two-qubit mixed states with one single parameter/coordinate among the full set of fifteen being zero and a few other interesting cases. Mixed-state parameterization (dpeaa)DE-He213 Two-qubit entanglement (dpeaa)DE-He213 Concurrence (dpeaa)DE-He213 Negativity (dpeaa)DE-He213 Ting, Hock King aut Enthalten in Quantum information processing Dordrecht : Springer Science + Business Media B.V., 2002 21(2022), 7 vom: 11. Juli (DE-627)354193031 (DE-600)2088114-9 1573-1332 nnns volume:21 year:2022 number:7 day:11 month:07 https://dx.doi.org/10.1007/s11128-022-03589-4 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_101 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_206 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 21 2022 7 11 07
spelling	10.1007/s11128-022-03589-4 doi (DE-627)SPR047545356 (SPR)s11128-022-03589-4-e DE-627 ger DE-627 rakwb eng Kong, Otto C. W. verfasserin (orcid)0000-0003-3832-648X aut Mixed-state parameterization and two-qubit entanglement 2022 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature 2022 Abstract A generic scheme for the parameterization of mixed-state systems is introduced. A slightly modified version specially for bipartite systems is then given, and especially applied to a two-qubit system. Various features of two-qubit entanglement are analyzed based on the scheme. Our formulation of the parameterization and the analysis of entanglement properties exploit the interplay between pure states as Hilbert space vectors and pure as well as mixed states as density matrices. Explicit entanglement results are presented, in terms of negativity and concurrence, for all two-qubit mixed states with one single parameter/coordinate among the full set of fifteen being zero and a few other interesting cases. Mixed-state parameterization (dpeaa)DE-He213 Two-qubit entanglement (dpeaa)DE-He213 Concurrence (dpeaa)DE-He213 Negativity (dpeaa)DE-He213 Ting, Hock King aut Enthalten in Quantum information processing Dordrecht : Springer Science + Business Media B.V., 2002 21(2022), 7 vom: 11. Juli (DE-627)354193031 (DE-600)2088114-9 1573-1332 nnns volume:21 year:2022 number:7 day:11 month:07 https://dx.doi.org/10.1007/s11128-022-03589-4 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_101 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_206 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 21 2022 7 11 07
allfields_unstemmed	10.1007/s11128-022-03589-4 doi (DE-627)SPR047545356 (SPR)s11128-022-03589-4-e DE-627 ger DE-627 rakwb eng Kong, Otto C. W. verfasserin (orcid)0000-0003-3832-648X aut Mixed-state parameterization and two-qubit entanglement 2022 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature 2022 Abstract A generic scheme for the parameterization of mixed-state systems is introduced. A slightly modified version specially for bipartite systems is then given, and especially applied to a two-qubit system. Various features of two-qubit entanglement are analyzed based on the scheme. Our formulation of the parameterization and the analysis of entanglement properties exploit the interplay between pure states as Hilbert space vectors and pure as well as mixed states as density matrices. Explicit entanglement results are presented, in terms of negativity and concurrence, for all two-qubit mixed states with one single parameter/coordinate among the full set of fifteen being zero and a few other interesting cases. Mixed-state parameterization (dpeaa)DE-He213 Two-qubit entanglement (dpeaa)DE-He213 Concurrence (dpeaa)DE-He213 Negativity (dpeaa)DE-He213 Ting, Hock King aut Enthalten in Quantum information processing Dordrecht : Springer Science + Business Media B.V., 2002 21(2022), 7 vom: 11. Juli (DE-627)354193031 (DE-600)2088114-9 1573-1332 nnns volume:21 year:2022 number:7 day:11 month:07 https://dx.doi.org/10.1007/s11128-022-03589-4 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_101 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_206 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 21 2022 7 11 07
allfieldsGer	10.1007/s11128-022-03589-4 doi (DE-627)SPR047545356 (SPR)s11128-022-03589-4-e DE-627 ger DE-627 rakwb eng Kong, Otto C. W. verfasserin (orcid)0000-0003-3832-648X aut Mixed-state parameterization and two-qubit entanglement 2022 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature 2022 Abstract A generic scheme for the parameterization of mixed-state systems is introduced. A slightly modified version specially for bipartite systems is then given, and especially applied to a two-qubit system. Various features of two-qubit entanglement are analyzed based on the scheme. Our formulation of the parameterization and the analysis of entanglement properties exploit the interplay between pure states as Hilbert space vectors and pure as well as mixed states as density matrices. Explicit entanglement results are presented, in terms of negativity and concurrence, for all two-qubit mixed states with one single parameter/coordinate among the full set of fifteen being zero and a few other interesting cases. Mixed-state parameterization (dpeaa)DE-He213 Two-qubit entanglement (dpeaa)DE-He213 Concurrence (dpeaa)DE-He213 Negativity (dpeaa)DE-He213 Ting, Hock King aut Enthalten in Quantum information processing Dordrecht : Springer Science + Business Media B.V., 2002 21(2022), 7 vom: 11. Juli (DE-627)354193031 (DE-600)2088114-9 1573-1332 nnns volume:21 year:2022 number:7 day:11 month:07 https://dx.doi.org/10.1007/s11128-022-03589-4 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_101 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_206 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 21 2022 7 11 07
allfieldsSound	10.1007/s11128-022-03589-4 doi (DE-627)SPR047545356 (SPR)s11128-022-03589-4-e DE-627 ger DE-627 rakwb eng Kong, Otto C. W. verfasserin (orcid)0000-0003-3832-648X aut Mixed-state parameterization and two-qubit entanglement 2022 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature 2022 Abstract A generic scheme for the parameterization of mixed-state systems is introduced. A slightly modified version specially for bipartite systems is then given, and especially applied to a two-qubit system. Various features of two-qubit entanglement are analyzed based on the scheme. Our formulation of the parameterization and the analysis of entanglement properties exploit the interplay between pure states as Hilbert space vectors and pure as well as mixed states as density matrices. Explicit entanglement results are presented, in terms of negativity and concurrence, for all two-qubit mixed states with one single parameter/coordinate among the full set of fifteen being zero and a few other interesting cases. Mixed-state parameterization (dpeaa)DE-He213 Two-qubit entanglement (dpeaa)DE-He213 Concurrence (dpeaa)DE-He213 Negativity (dpeaa)DE-He213 Ting, Hock King aut Enthalten in Quantum information processing Dordrecht : Springer Science + Business Media B.V., 2002 21(2022), 7 vom: 11. Juli (DE-627)354193031 (DE-600)2088114-9 1573-1332 nnns volume:21 year:2022 number:7 day:11 month:07 https://dx.doi.org/10.1007/s11128-022-03589-4 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_SPRINGER GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_74 GBV_ILN_90 GBV_ILN_95 GBV_ILN_100 GBV_ILN_101 GBV_ILN_105 GBV_ILN_110 GBV_ILN_120 GBV_ILN_138 GBV_ILN_150 GBV_ILN_151 GBV_ILN_152 GBV_ILN_161 GBV_ILN_170 GBV_ILN_171 GBV_ILN_187 GBV_ILN_206 GBV_ILN_213 GBV_ILN_224 GBV_ILN_230 GBV_ILN_250 GBV_ILN_281 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_636 GBV_ILN_702 GBV_ILN_2001 GBV_ILN_2003 GBV_ILN_2004 GBV_ILN_2005 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2008 GBV_ILN_2009 GBV_ILN_2010 GBV_ILN_2011 GBV_ILN_2014 GBV_ILN_2015 GBV_ILN_2020 GBV_ILN_2021 GBV_ILN_2025 GBV_ILN_2026 GBV_ILN_2027 GBV_ILN_2031 GBV_ILN_2034 GBV_ILN_2037 GBV_ILN_2038 GBV_ILN_2039 GBV_ILN_2044 GBV_ILN_2048 GBV_ILN_2049 GBV_ILN_2050 GBV_ILN_2055 GBV_ILN_2056 GBV_ILN_2057 GBV_ILN_2059 GBV_ILN_2061 GBV_ILN_2064 GBV_ILN_2065 GBV_ILN_2068 GBV_ILN_2088 GBV_ILN_2093 GBV_ILN_2106 GBV_ILN_2107 GBV_ILN_2108 GBV_ILN_2110 GBV_ILN_2111 GBV_ILN_2112 GBV_ILN_2113 GBV_ILN_2118 GBV_ILN_2122 GBV_ILN_2129 GBV_ILN_2143 GBV_ILN_2144 GBV_ILN_2147 GBV_ILN_2148 GBV_ILN_2152 GBV_ILN_2153 GBV_ILN_2188 GBV_ILN_2190 GBV_ILN_2232 GBV_ILN_2336 GBV_ILN_2446 GBV_ILN_2470 GBV_ILN_2472 GBV_ILN_2507 GBV_ILN_2522 GBV_ILN_2548 GBV_ILN_4035 GBV_ILN_4037 GBV_ILN_4046 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4242 GBV_ILN_4246 GBV_ILN_4249 GBV_ILN_4251 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4326 GBV_ILN_4328 GBV_ILN_4333 GBV_ILN_4334 GBV_ILN_4335 GBV_ILN_4336 GBV_ILN_4338 GBV_ILN_4393 GBV_ILN_4700 AR 21 2022 7 11 07
language	English
source	Enthalten in Quantum information processing 21(2022), 7 vom: 11. Juli volume:21 year:2022 number:7 day:11 month:07
sourceStr	Enthalten in Quantum information processing 21(2022), 7 vom: 11. Juli volume:21 year:2022 number:7 day:11 month:07
format_phy_str_mv	Article
institution	findex.gbv.de
topic_facet	Mixed-state parameterization Two-qubit entanglement Concurrence Negativity
isfreeaccess_bool	false
container_title	Quantum information processing
authorswithroles_txt_mv	Kong, Otto C. W. @@aut@@ Ting, Hock King @@aut@@
publishDateDaySort_date	2022-07-11T00:00:00Z
hierarchy_top_id	354193031
id	SPR047545356
language_de	englisch
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author	Kong, Otto C. W.
spellingShingle	Kong, Otto C. W. misc Mixed-state parameterization misc Two-qubit entanglement misc Concurrence misc Negativity Mixed-state parameterization and two-qubit entanglement
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topic_title	Mixed-state parameterization and two-qubit entanglement Mixed-state parameterization (dpeaa)DE-He213 Two-qubit entanglement (dpeaa)DE-He213 Concurrence (dpeaa)DE-He213 Negativity (dpeaa)DE-He213
topic	misc Mixed-state parameterization misc Two-qubit entanglement misc Concurrence misc Negativity
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title	Mixed-state parameterization and two-qubit entanglement
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title_full	Mixed-state parameterization and two-qubit entanglement
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title_sort	mixed-state parameterization and two-qubit entanglement
title_auth	Mixed-state parameterization and two-qubit entanglement
abstract	Abstract A generic scheme for the parameterization of mixed-state systems is introduced. A slightly modified version specially for bipartite systems is then given, and especially applied to a two-qubit system. Various features of two-qubit entanglement are analyzed based on the scheme. Our formulation of the parameterization and the analysis of entanglement properties exploit the interplay between pure states as Hilbert space vectors and pure as well as mixed states as density matrices. Explicit entanglement results are presented, in terms of negativity and concurrence, for all two-qubit mixed states with one single parameter/coordinate among the full set of fifteen being zero and a few other interesting cases. © The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature 2022
abstractGer	Abstract A generic scheme for the parameterization of mixed-state systems is introduced. A slightly modified version specially for bipartite systems is then given, and especially applied to a two-qubit system. Various features of two-qubit entanglement are analyzed based on the scheme. Our formulation of the parameterization and the analysis of entanglement properties exploit the interplay between pure states as Hilbert space vectors and pure as well as mixed states as density matrices. Explicit entanglement results are presented, in terms of negativity and concurrence, for all two-qubit mixed states with one single parameter/coordinate among the full set of fifteen being zero and a few other interesting cases. © The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature 2022
abstract_unstemmed	Abstract A generic scheme for the parameterization of mixed-state systems is introduced. A slightly modified version specially for bipartite systems is then given, and especially applied to a two-qubit system. Various features of two-qubit entanglement are analyzed based on the scheme. Our formulation of the parameterization and the analysis of entanglement properties exploit the interplay between pure states as Hilbert space vectors and pure as well as mixed states as density matrices. Explicit entanglement results are presented, in terms of negativity and concurrence, for all two-qubit mixed states with one single parameter/coordinate among the full set of fifteen being zero and a few other interesting cases. © The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature 2022
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title_short	Mixed-state parameterization and two-qubit entanglement
url	https://dx.doi.org/10.1007/s11128-022-03589-4
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W.</subfield><subfield code="e">verfasserin</subfield><subfield code="0">(orcid)0000-0003-3832-648X</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Mixed-state parameterization and two-qubit entanglement</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="c">2022</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="a">Text</subfield><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="a">Computermedien</subfield><subfield code="b">c</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="a">Online-Ressource</subfield><subfield code="b">cr</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">© The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature 2022</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">Abstract A generic scheme for the parameterization of mixed-state systems is introduced. A slightly modified version specially for bipartite systems is then given, and especially applied to a two-qubit system. Various features of two-qubit entanglement are analyzed based on the scheme. Our formulation of the parameterization and the analysis of entanglement properties exploit the interplay between pure states as Hilbert space vectors and pure as well as mixed states as density matrices. 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Mixed-state parameterization and two-qubit entanglement

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