nt - p h / 02 06 01 2 v 1 3 J un 2 00 2 COHERENT STATES , ENTANGLEMENT , AND GEOMETRIC INVARIANT THEORY
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nt - p h / 01 12 06 8 v 1 1 2 D ec 2 00 1 Range Theorems for Quantum Probability and Entanglement
We consider the set of all matrices of the form pij = tr[W (Ei ⊗ Fj)] where Ei, Fj are projections on a Hilbert space H, and W is some state on H ⊗ H. We derive the basic properties of this set, compare it with the classical range of probability, and note how its properties may be related to a geometric measures of entanglement.
متن کاملar X iv : q ua nt - p h / 06 05 10 3 v 1 1 1 M ay 2 00 6 On Concurrence and Entanglement of Rank Two Channels ∗ Armin Uhlmann
Concurrence and further entanglement quantifiers can be computed explicitly for channels of rank two if representable by just two Kraus operators. Almost all details are available for the subclass of rank two 1-qubit channels. There is a simple geometric picture beyond, explaining nicely the role of anti-linearity.
متن کاملar X iv : q ua nt - p h / 06 05 10 3 v 1 1 1 M ay 2 00 6 On Concurrence and Entanglement of Rank Two Channels
Concurrence and further entanglement quantifiers can be computed explicitly for channels of rank two if representable by just two Kraus operators. Almost all details are available for the subclass of rank two 1-qubit channels. There is a simple geometric picture beyond, explaining nicely the role of anti-linearity.
متن کاملar X iv : q ua nt - p h / 01 06 05 5 v 1 1 1 Ju n 20 01 Analysis of 1 and 2 Particle Quantum Systems using Geometric Algebra
When two or more subsystems of a quantum system interact with each other they can become entangled. In this case the individual subsystems can no longer be described as pure quantum states. For systems with only 2 subsystems this entanglement can be described using the Schmidt decomposition. This selects a preferred orthonormal basis for expressing the wavefunction and gives a measure of the de...
متن کاملua nt - p h / 03 06 11 5 v 1 1 7 Ju n 20 03 THE GEOMETRY OF ENTANGLEMENT : METRICS , CONNECTIONS AND THE GEOMETRIC PHASE
Using the natural connection equivalent to the SU (2) Yang-Mills instanton on the quaternionic Hopf fibration of S 7 over the quaternionic projective space HP 1 ≃ S 4 with an SU (2) ≃ S 3 fiber the geometry of entanglement for two qubits is investigated. The relationship between base and fiber i.e. the twisting of the bundle corresponds to the entanglement of the qubits. The measure of entangle...
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تاریخ انتشار 2002