ar X iv : q ua nt - p h / 06 11 23 0 v 2 2 8 D ec 2 00 6 Tensor Product Structures , Entanglement , and Particle Scattering
نویسنده
چکیده
Particle systems admit a variety of tensor product structures (TPSs) depending on the complete system of commuting observables chosen for the analysis. Different notions of entanglement are associated with these different TPSs. Global symmetry transformations and dynamical transformations factor into products of local unitary operators with respect to certain TPSs and not with respect to others. Symmetry-invariant and dynamical-invariant TPSs and corresponding measures of entanglement are defined for particle scattering systems.
منابع مشابه
ar X iv : q ua nt - p h / 06 11 18 7 v 1 1 7 N ov 2 00 6 Philosophical Aspects of Quantum Information Theory
2 First steps with quantum information 3 2.1 Bits and qubits . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 2.2 The no-cloning theorem . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5 2.3 Quantum cryptography . . . . . . . . . . . . . . . . . . . . . . . . . . . . 7 2.3.1 Key Distribution . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8 2.4 Entanglement-as...
متن کاملQuantum Phase Transitions and Matrix Product States in Spin Ladders
X iv :q ua nt -p h/ 06 12 20 7v 1 2 5 D ec 2 00 6 Quantum Phase Transitions and Matrix Product States in Spin Ladders M. Asoudeh,∗ V. Karimipour†,‡ and A. Sadrolashrafi§ Department of Physics, Sharif University of Technology, P.O. Box 11365-9161, Tehran, Iran (Dated: December 28, 2006) Abstract We investigate quantum phase transitions in ladders of spin 1/2 particles by engineering suitable mat...
متن کاملar X iv : q ua nt - p h / 99 06 11 0 v 1 2 8 Ju n 19 99 Quantum teleportation of EPR pair by three - particle entanglement
Teleportation of an EPR pair using triplet in state of the Horne-Greenberger-Zeilinger form to two receivers is considered. It needs a three-particle basis for joint measurement. By contrast the one qubit teleportation the required basis is not maximally entangled. It consists of the states corresponding to the maximally entanglement of two particles only. Using outcomes of measurement both rec...
متن کاملar X iv : q ua nt - p h / 07 01 03 2 v 1 8 J an 2 00 7 SLOCC invariants and SLOCC classification of four qubits 1
X iv :q ua nt -p h/ 07 01 03 2v 1 8 J an 2 00 7 SLOCC invariants and SLOCC classification of four qubits 1 Dafa Li, Xiangrong Li, Hongtao Huang, Xinxin Li a Dept of mathematical sciences, Tsinghua University, Beijing 100084 CHINA b Department of Mathematics, University of California, Irvine, CA 92697-3875, USA c Electrical Engineering and Computer Science Department University of Michigan, Ann ...
متن کاملar X iv : q ua nt - p h / 06 12 10 4 v 1 1 3 D ec 2 00 6 Anisotropically high entanglement of biphotons generated in spontaneous parametric down conversion
We show that the wave packet of a biphoton generated via spontaneous parametric down conversion is strongly anisotropic. Its anisotropic features manifest themselves very clearly in comparison of measurements performed in two different schemes: when the detector scanning plane is perpendicular or parallel to the plane containing the crystal optical axis and the laser axis. The first of these tw...
متن کامل