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Quantum entanglement

by Ryszard Horodecki, Karol Horodecki , 2007
"... Contents All our former experience with application of quantum theory seems to say: what is predicted by quantum formalism must occur in laboratory. But the essence of quantum formalism — entanglement, recognized by Einstein, Podolsky, Rosen and Schrödinger — waited over 70 years to enter to laborat ..."
Abstract - Cited by 88 (1 self) - Add to MetaCart
Contents All our former experience with application of quantum theory seems to say: what is predicted by quantum formalism must occur in laboratory. But the essence of quantum formalism — entanglement, recognized by Einstein, Podolsky, Rosen and Schrödinger — waited over 70 years to enter

Quantum Entanglement and Topological Entanglement

by Louis H Kauffman, Samuel J Lomonaco, Jr.
"... This paper discusses relationships between topological entanglement and quantum entanglement. Specifically, we propose that it is more fundamental to view topological entanglements such as braids as entanglement operators and to associate with them unitary operators that are capable of creating qua ..."
Abstract - Cited by 31 (16 self) - Add to MetaCart
This paper discusses relationships between topological entanglement and quantum entanglement. Specifically, we propose that it is more fundamental to view topological entanglements such as braids as entanglement operators and to associate with them unitary operators that are capable of creating

QUANTUM ENTANGLEMENT AND QUANTUM CHROMODYNAMICS

by unknown authors , 2000
"... Non-locality or entanglement is an experimentally well established property of quantum mechanics. Here we study the role of quantum entanglement for higher symmetry group like SU(3c), the gauge group of quantum chromodynamics ( QCD). We show that the hitherto unexplained property of confinement in Q ..."
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Non-locality or entanglement is an experimentally well established property of quantum mechanics. Here we study the role of quantum entanglement for higher symmetry group like SU(3c), the gauge group of quantum chromodynamics ( QCD). We show that the hitherto unexplained property of confinement

Detecting quantum entanglements

by Barbara M. Terhal
"... We review the criteria for separability and quantum entanglement, both in a bipartite as well as a multipartite setting. We discuss Bell inequalities, entanglement witnesses, entropic inequalities, bound entanglement and several features of multipartite entanglement. We indicate how these criteria b ..."
Abstract - Cited by 11 (0 self) - Add to MetaCart
We review the criteria for separability and quantum entanglement, both in a bipartite as well as a multipartite setting. We discuss Bell inequalities, entanglement witnesses, entropic inequalities, bound entanglement and several features of multipartite entanglement. We indicate how these criteria

Quantum Entanglement Through Quaternions

by J P Singh
"... Using quaternions, we study the geometry of the single and two qubit states of quantum entanglement. Through the Hopf fibrations, we identify geometric manifestations of the separability and entanglement of two qubit quantum systems. ..."
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Using quaternions, we study the geometry of the single and two qubit states of quantum entanglement. Through the Hopf fibrations, we identify geometric manifestations of the separability and entanglement of two qubit quantum systems.

Quantum Entanglement and Communication Complexity

by Harry Buhrman, Richard Cleve, Wim Van Dam - SIAM J. COMPUT , 1998
"... We consider a variation of the communication complexity scenario, where the parties are supplied with an extra resource: particles in an entangled quantum state. We note that "quantum nonlocality" can be naturally expressed in the language of communication complexity. These are communicati ..."
Abstract - Cited by 26 (6 self) - Add to MetaCart
We consider a variation of the communication complexity scenario, where the parties are supplied with an extra resource: particles in an entangled quantum state. We note that "quantum nonlocality" can be naturally expressed in the language of communication complexity

Locality of quantum entanglement

by Wang Guowen , 2005
"... This article presents a local realistic interpretation of quantum entanglement. The entanglement is explained as innate interference between the non-empty state associated with the peaked piece of one particle and the empty states associated with the non-peaked pieces of the others of entangled part ..."
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This article presents a local realistic interpretation of quantum entanglement. The entanglement is explained as innate interference between the non-empty state associated with the peaked piece of one particle and the empty states associated with the non-peaked pieces of the others of entangled

Quantum-entangled photon interferometry

by Roger K. Richards
"... A two-color quantum-entangled photon source is used to produce fourth-order interference. Because the period of the interference is produced by the frequency difference of the entangled photons, problems associated with counting fringes can be avoided. This also permits measurements at a virtual wav ..."
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A two-color quantum-entangled photon source is used to produce fourth-order interference. Because the period of the interference is produced by the frequency difference of the entangled photons, problems associated with counting fringes can be avoided. This also permits measurements at a virtual

QUANTUM ENTANGLEMENTS AND ENTANGLED MUTUAL ENTROPY

by Viacheslav P Belavkin, Masanori Ohya , 2000
"... Abstract. The mathematical structure of quantum entanglement is studied and classified from the point of view of quantum compound states. We show that the classical-quantum correspondences such as encodings can be treated as diagonal (d-) entanglements. The mutual entropy of the d-compound and entan ..."
Abstract - Cited by 12 (7 self) - Add to MetaCart
Abstract. The mathematical structure of quantum entanglement is studied and classified from the point of view of quantum compound states. We show that the classical-quantum correspondences such as encodings can be treated as diagonal (d-) entanglements. The mutual entropy of the d

Plasmon-assisted quantum entanglement

by E. Altewischer, M. P. Van Exter, J. P. Woerdman , 2002
"... The state of a two-particle system is called entangled when its quantum mechanical wave function cannot be factorized in two singleparticle wave functions. Entanglement leads to the strongest counter-intuitive feature of quantum mechanics, namely nonlocality. 1,2 Experimental realization of quantum ..."
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The state of a two-particle system is called entangled when its quantum mechanical wave function cannot be factorized in two singleparticle wave functions. Entanglement leads to the strongest counter-intuitive feature of quantum mechanics, namely nonlocality. 1,2 Experimental realization of quantum
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