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Physical Review Letters, ISSN 0031-9007, 12/2005, Volume 95, Issue 23, p. 230502
We provide necessary and sufficient conditions for the partial transposition of bipartite harmonic quantum states to be nonnegative. The conditions are... 
SEPARABILITY CRITERION | MIXED STATES | PHYSICS, MULTIDISCIPLINARY | CONTINUOUS VARIABLE SYSTEMS
Journal Article
Physical Review A - Atomic, Molecular, and Optical Physics, ISSN 1050-2947, 12/2014, Volume 90, Issue 6
Following previous work, we distinguish between genuine N-partite entanglement and full N-partite inseparability. Accordingly, we derive criteria to detect... 
PARADOX | STATES | DETERMINISTIC QUANTUM TELEPORTATION | SEPARABILITY | INFORMATION | PHYSICS, ATOMIC, MOLECULAR & CHEMICAL | MULTIPARTITE ENTANGLEMENT | SYSTEMS | OPTICS | Physics - Quantum Physics
Journal Article
Proceedings of the National Academy of Sciences of the United States of America, ISSN 0027-8424, 12/2009, Volume 106, Issue 51, pp. 21517 - 21520
Journal Article
Physical Review A - Atomic, Molecular, and Optical Physics, ISSN 1050-2947, 11/2009, Volume 80, Issue 5
Inseparability criteria for continuous and discrete bipartite quantum states based on moments of annihilation and creation operators are studied by developing... 
SEPARABILITY CRITERION | POSITIVE LINEAR-MAPS | PHYSICS, ATOMIC, MOLECULAR & CHEMICAL | quantum entanglement | MIXED STATES | mathematical operators | QUANTUM STATES | matrix algebra | CONTRACTIONS | CONTINUOUS-VARIABLE SYSTEMS | ALGEBRAS | BOUND ENTANGLEMENT | OPTICS | Physics - Quantum Physics
Journal Article
Physical Review Letters, ISSN 0031-9007, 01/2003, Volume 90, Issue 4, pp. 436011 - 436014
We generate a pair of entangled beams from the interference of two amplitude squeezed beams. The entanglement is quantified in terms of EPR paradox and... 
SEPARABILITY CRITERION | SYSTEMS | STATES | TELEPORTATION | PHYSICS, MULTIDISCIPLINARY | QUANTUM | Physics - Quantum Physics
Journal Article
Physical Review Letters, ISSN 0031-9007, 03/2000, Volume 84, Issue 12, pp. 2722 - 2725
An inseparability criterion based on the total variance of a pair of Einstein-Podolsky-Rosen type operators is proposed for continuous variable systems. The... 
SEPARABILITY CRITERION | MIXED STATES | TELEPORTATION | PHYSICS, MULTIDISCIPLINARY | Physics - Quantum Physics
Journal Article
Journal of Modern Optics, ISSN 0950-0340, 04/2013, Volume 60, Issue 7, pp. 589 - 597
We review the main criteria used to detect entanglement in quantum systems. The main properties of each criteria are summarized depending on whether the... 
correlation | quantum information | quantum optics | entanglement | STATES | SEPARABILITY | FIELD | COHERENT | OPTICS | CONTINUOUS VARIABLE SYSTEMS | CONCURRENCE | PAIR | Operators | Entanglement | Criteria | Density | Quantum theory | Information systems
Journal Article
IEEE Transactions on Information Theory, ISSN 0018-9448, 10/2013, Volume 59, Issue 10, pp. 6774 - 6778
Journal Article
Journal of Mathematical Economics, ISSN 0304-4068, 01/2019, Volume 80, pp. 77 - 87
In a simple model where agents have ordinal and interpersonally noncomparable subjective expected utility preferences over uncertain future incomes, we analyze... 
Equity | Separability | Uncertainty | Efficiency | Rationality | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | CARDINAL WELFARE | INDIVIDUALISTIC ETHICS | SOCIAL SCIENCES, MATHEMATICAL METHODS | ECONOMICS | AGGREGATION | Pareto optimum | Axioms | Criteria | Expected utility | Preferences | Uncertainty analysis
Journal Article
Physical Review Letters, ISSN 0031-9007, 04/2008, Volume 100, Issue 14, p. 140403
A simple geometrical criterion gives experimentally friendly sufficient conditions for entanglement. Its generalization gives a necessary and sufficient... 
PHYSICS, MULTIDISCIPLINARY | STATES | SEPARABILITY | Physics - Quantum Physics | Fysik | Physical Sciences | Naturvetenskap | separability | Natural Sciences | Physics | states
Journal Article
中国科学:物理学、力学、天文学英文版, ISSN 1674-7348, 2017, Volume 60, Issue 10, pp. 1 - 6
Journal Article
Physical Review A - Atomic, Molecular, and Optical Physics, ISSN 1050-2947, 07/2010, Volume 82, Issue 1
Journal Article
INTERNATIONAL JOURNAL OF QUANTUM INFORMATION, ISSN 0219-7499, 10/2017, Volume 15, Issue 7
We present sufficient criteria for the entanglement of three-qubit states. For some special families of states, the criteria are also necessary for the... 
QUANTUM SCIENCE & TECHNOLOGY | PPT entangled state | SEPARABILITY | COMPUTER SCIENCE, THEORY & METHODS | Entanglement criteria | W state | GHZ state | PHYSICS, MATHEMATICAL | PHYSICS, PARTICLES & FIELDS
Journal Article
Physical Review Letters, ISSN 0031-9007, 01/2012, Volume 108, Issue 3, p. 030503
We present a formalism to derive entanglement criteria beyond the Gaussian regime that can be readily tested by only homodyne detection. The measured... 
SEPARABILITY CRITERION | STATES | TELEPORTATION | PHYSICS, MULTIDISCIPLINARY | CONTINUOUS VARIABLE SYSTEMS | LIGHT | Physics - Quantum Physics
Journal Article
Journal of Mathematical Physics, ISSN 0022-2488, 08/2017, Volume 58, Issue 8, p. 82201
Positive maps applied to a subsystem of a bipartite quantum state constitute a central tool in characterising entanglement. In the multipartite case, however,... 
MIXED STATES | PHYSICS, MATHEMATICAL | SUFFICIENT CONDITIONS | SEPARABILITY | Entanglement | Quantum theory | Maps | Physics - Quantum Physics
Journal Article
Chinese Physics B, ISSN 1674-1056, 03/2018, Volume 27, Issue 3, p. 30302
Separability is an important problem in theory of quantum entanglement. By using the Bloch representation of quantum states in terms of the Heisenberg-Weyl... 
multipartite quantum states | Heisenberg-Weyl observable basis | separability criterion | Bloch representation | PHYSICS, MULTIDISCIPLINARY | ENTANGLEMENT | QUANTUM STATES
Journal Article
Physical Review Letters, ISSN 0031-9007, 2006, Volume 97, Issue 8, p. 080501
We develop a strong and computationally simple entanglement criterion. The criterion is based on an elementary positive map Phi which operates on state spaces... 
SEPARABILITY CRITERION | PHYSICS, MULTIDISCIPLINARY | DISTILLATION | REDUCTION CRITERION | Physics - Quantum Physics
Journal Article
Physical Review A - Atomic, Molecular, and Optical Physics, ISSN 1050-2947, 11/2015, Volume 92, Issue 5
We present a general strategy to derive entanglement criteria through a dichotomization procedure which consists of performing a mapping from qudits to qubits... 
MIXED STATES | OPTICS | SEPARABILITY | DISTILLATION | PHYSICS, ATOMIC, MOLECULAR & CHEMICAL
Journal Article
Physical Review Letters, ISSN 0031-9007, 10/2001, Volume 87, Issue 16, p. 167904/4
We provide a necessary and sufficient condition for separability of Gaussian states of bipartite systems of arbitrarily many modes. The condition provides an... 
SEPARABILITY CRITERION | BOUND ENTANGLEMENT | PHYSICS, MULTIDISCIPLINARY | DISTILLABILITY | QUANTUM-SYSTEMS | MIXED STATES | CONTINUOUS VARIABLE SYSTEMS
Journal Article
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