1 |
Nielsen M A Chuang I L Quantum Computation and QuantumInformationCambridgeCambridge University Press 2000
|
2 |
Bennett C H DiVincenzo D P Smolin J A et al.Mixed state entanglement and quantum error correctionPhysical Review A 1996 5438243851. doi:10.1103/PhysRevA.54.3824
|
3 |
Horodecki M Horodecki P Horodecki R et al.Classical capacity of a noiseless quantum channelassisted by noisy entanglementQuantum Informationand Computation 2001 1(3)7078
|
4 |
Bru? D CharacterizingentanglementJournal of Mathematical Physics 2002 434237. doi: 10.1063/1.1494474
|
5 |
Plenio M B Virmani S An introduction to entanglementmeasuresQuantum Information and Computation 2007 7125
|
6 |
Uhlmann A Fidelityand concurrence of conjugated statesA PhysicalReview A 2000 62032307. doi: 10.1103/PhysRevA.62.032307
|
7 |
Albeverio S Fei S M A Note on Invariants and EntanglementsJ Opt B: Quantum Semiclass Opt 2001 3223227. doi:10.1088/1464‐4266/3/4/305
|
8 |
Rungta P Bu?ek V Caves C M et al.Universal state inversion and concurrence in arbitrarydimensionsPhysical Review A 2001 64042315. doi: 10.1103/PhysRevA.64.042315
|
9 |
Hill S Wootters W K Entanglement of a pair of quantumbitsPhysical Review Letters 1997 7850225025. doi:10.1103/PhysRevLett.78.5022
|
10 |
Wootters W K Entanglementof formation of an arbitrary state of two qubitsPhysical Review Letters 1998 8022452248. doi:10.1103/PhysRevLett.80.2245
|
11 |
Osterloh A Amico L Falci G et al.Scaling of entanglement close to a quantum phasetransitionsNature 2002 416608. doi: 10.1038/416608a
|
12 |
Wu L A Sarandy M S Lidar D A Quantum phase transitions and bipartite entanglementPhysical Review Letters 2004 93250404. doi: 10.1103/PhysRevLett.93.250404
|
13 |
Ghosh S Rosenbaum T F Aeppli G et al.Entangled quantum state of magnetic dipolesNature 2003 42548. doi: 10.1038/nature01888
|
14 |
Vedral V Quantumphysics. Entanglement hits the big timeNature 2003 42528. doi: 10.1038/425028a
|
15 |
Walborn S P Souto Ribeiro P H Davidovich L et al.Experimental determination of entanglement witha single measurementNature 2006 4401022. doi: 10.1038/nature04627
|
16 |
Terhal B M Vollbrecht K G H The entanglement of formationfor isotropic statesPhysical Review Letters 2000 8526252628. doi:10.1103/PhysRevLett.85.2625
|
17 |
Fei S M Jost J Li-Jost X Q et al.Entanglement of formation for a class of mixed statesPhysics Letters A 2003 310333338. doi:10.1016/S0375‐9601(03)00379‐7
|
18 |
Fei S M Li-Jost X Q A class of special matricesand quantum entanglementReports on MathematicalPhysics 2004 53195210. doi:10.1016/S0034‐4877(04)90012‐2
|
19 |
Fei S M Wang Z X Zhao H A note on entanglement of formation and generalized concurrencePhysics Letters A 2004 329414419. doi:10.1016/j.physleta.2004.07.030
|
20 |
Rungta P Caves C M I-concurrence and tangle forisotropic statesPhysical Review A 2003 67012307. doi: 10.1103/PhysRevA.67.012307
|
21 |
Chen P X Liang L M Li C Z et al.A lower bound on entanglement of formation of 2 ? n systemPhysics Letters A 2002 295175177. doi:10.1016/S0375‐9601(02)00175‐5
|
22 |
Gerjuoy E Lowerbound on entanglement of formation for the qubit-qudit systemPhysical Review A 2003 67052308. doi: 10.1103/PhysRevA.67.052308
|
23 |
?oziński A Buchleitner A ?yczkowski K et al.Entanglement of 2 × K quantum systemsEurophysicsLetters 2003 62168
|
24 |
Audenaert K Verstraete F Moor B De Variational characterisations of separability and entanglementof formationPhysical Review A 2001 64052304. doi: 10.1103/PhysRevA.64.052304
|
25 |
Mintert F Ku? M Buchleitner A oncurrence of mixed bipartite quantum states in arbitrarydimensionsPhysical Review Letters 2004 92167902. doi: 10.1103/PhysRevLett.92.167902
|
26 |
Mintert F Ph.D. thesis Measures and dynamics of entangled statesMunichMunich University 2004
|
27 |
Chen K Albeverio S Fei S M Concurrence of arbitrary dimensional bipartite quantumstatesPhysical Review Letters 2005 95040504. doi: 10.1103/PhysRevLett.95.040504
|
28 |
Chen K Albeverio S Fei S M Entanglement of formation of bipartite quantum statesPhysical Review Letters 2005 95210501. doi: 10.1103/PhysRevLett.95.210501
|
29 |
Breuer H P Separabilitycriteria and bounds for entanglement measuresJournal of Physics A: Mathematical and General 2006 3911847. doi: 10.1088/0305‐4470/39/38/010
|
30 |
Breuer H P Optimalentanglement criterion for mixed quantum statesPhysical Review Letters 2006 97080501. doi: 10.1103/PhysRevLett.97.080501
|
31 |
Vicente J I de Lower bounds on concurrence and separability conditionsPhysical Review A 2007 75052320. doi: 10.1103/PhysRevA.75.052320
|
32 |
Zhang C J Zhang Y S Zhang S et al.Optimal entanglement witnesses based on local orthogonalobservablesPhysical Review A 2007 76012334. doi: 10.1103/PhysRevA.76.012334
|
33 |
Gao X H Fei S M Wu K Lower bounds of concurrence of tripartite quantum systemsPhysical Review A 2006 74050303(R)
|
34 |
Bennett C H Bernstein H J Popescu S et al.Concentrating partial entanglement by local operationsPhysical Review A 1996 5320462052. doi:10.1103/PhysRevA.53.2046
|
35 |
Werner R F Quantumstates with Einstein-Podolsky-Rosen correlations admitting a hidden-variablemodelPhysical Review A 1989 4042774281. doi:10.1103/PhysRevA.40.4277
|
36 |
Brun T A Measuringpolynomial functions of statesQuantum Informationand Computation 2004 4401
|
37 |
Mintert F Kus' M Buchleitner A Concurrence of mixed multi-partite quantum statesPhysical Review Letters 2005 95260502. doi: 10.1103/PhysRevLett.95.260502
|
38 |
Fei S M Li-Jost X R-function related to entanglementof formationPhysical Review A 2006 73024302. doi: 10.1103/PhysRevA.73.024302
|
39 |
Vollbrecht K G H Werner R F Entanglement measures undersymmetryPhysical Review A 2001 64062307. doi: 10.1103/PhysRevA.64.062307
|
40 |
Wootters W K Entanglementof formation and concurrenceQuantum Informationand Computation127 2001
|
41 |
Chen K Albeverio S Fei S M Concurrence-based entanglement measure for Werner statesReports on Mathematical Physics 2006 58325334. doi:10.1016/S0034‐4877(07)00003‐1
|
42 |
Albeverio S Fei S M Goswami D Separability of Rank Two Quantum StatesPhysics Letters A 2001 2869196. doi:10.1016/S0375‐9601(01)00413‐3
|
43 |
Fei S M Gao X H Wang X H et al.Separability of rank two quantum states on multiplequantum spacesPhysics Letters A 2002 300555562. doi:10.1016/S0375‐9601(02)00882‐4
|
44 |
Chen K Wu L A A matrix realignment methodfor recognizing entanglementQuantum Informationand Computation 2003 3193202
|
45 |
Horodecki M Horodecki P Horodecki R Separability of mixed quantum states: linear contractionsapproachOpen Systems and Information Dynamics 2006 13103. doi: 10.1007/s11080‐006‐7271‐8
|
46 |
Rudolph O Furtherresults on the cross norm criterion for separabilityQuantum Information Processing 2005 4219. doi: 10.1007/s11128‐005‐5664‐1
|
47 |
Ou Y C Fan H Fei S M Concurrence, distillability, and distributed entanglementfor arbitrary quantum statesarXiv:0711.2865v2 2007
|
48 |
Horodecki M Horodecki P Reduction criterion of separabilityand limits for a class of distillation protocolsPhysical Review A 1999 5942064216. doi:10.1103/PhysRevA.59.4206
|
49 |
Vollbrecht K G H Werner R F Entanglement measures undersymmetryPhysical Review A 2001 64062307. doi: 10.1103/PhysRevA.64.062307
|
50 |
Hofmann H F Takeuchi S Violation of local uncertaintyrelations as a signature of entanglementPhysical Review A 2003 68032103. doi: 10.1103/PhysRevA.68.032103
|
51 |
Hofmann H F Boundentangled states violate a nonsymmetric local uncertainty relationPhysical Review A 2003 68034307. doi: 10.1103/PhysRevA.68.034307
|
52 |
Gühne O Mechler M Toth G et al.Entanglement criteria based on local uncertaintyrelations are strictly stronger than the computable cross norm criterionPhysical Review A 2006 74010301(R)
|
53 |
Yu S X Liu N L Entanglement detection by localorthogonal observablesPhysical Review Letters 2005 95150504. doi: 10.1103/PhysRevLett.95.150504
|
54 |
Vicente J I de Separability criteria based on the Bloch representation of densitymatricesQuantum Information and Computation 2007 7624
|
55 |
Bennett C H DiVincenzo D P Mor T et al.Unextendible Product bases and bound entanglementPhysical Review Letters 1999 8253855388. doi:10.1103/PhysRevLett.82.5385
|
56 |
Fei S M Li-Jost X Sun B Z A Class of Bound Entangled StatesPhysics Letters A 2006 352321. doi: 10.1016/j.physleta.2005.12.038
|
57 |
Albeverio S Chen K Fei S M Generalized reduction criterion for separability of quantumstatesPhysical Review A 2003 68062313. doi: 10.1103/PhysRevA.68.062313
|
58 |
Horn R A Johnson C R Topics in Matrix AnalysisNew YorkCambridgeUniversity Press 1991
|
59 |
Acin A Andrianov A Costa L et al.Generalized Schmidt decomposition and classificationof three-quantum-bit statesPhysical ReviewLetters 2000 8515601563. doi:10.1103/PhysRevLett.85.1560
|
60 |
Rains E M Boundon distillable entanglement.Physical ReviewA 1999 60179. doi: 10.1103/PhysRevA.60.179
|
61 |
Khasin M Kosloff R Rise and fall of quantum andclassical correlations in opensystem dynamics.Physical Review A 2007 76012304. doi: 10.1103/PhysRevA.76.012304
|
62 |
Zhao M J Fei S M Wang Z X Entanglement of Multipartite Schmidt-correlated StatesPhysics Letters A 2008 37225522557
|
63 |
Pan F Lu G Y Draayer J P Classification and quantification of entangled bipartitequtrit pure statesInternational Journalof Modern Physics B 2006 2013331342. doi:10.1142/S0217979206033966
|
64 |
Lamata L León J Salgado D et al.Inductive classification of multipartite entanglementunder SLOCCPhysical Review A 2006 74052336. doi: 10.1103/PhysRevA.74.052336
|