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Tsirelson's Problem
... on a joint quantum system is usually modelled using a Hilbert space of tensor product form, each factor associated to one observer. ... same situation can also be modelled by just using one joint Hilbert space, and requiring that all operators associated to different ...
Video abstract - Burgarth - 26/10/2015 - 17:05 - 0 comments
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Bipartite states and Schmidt decomposition
... Let H = H A ⊗ H B be a Hilbert space defined as a tensor product of two Hilbert spaces H A and H B . We call some pure state ...
Wiki article - Anonymous (not verified) - 04/03/2019 - 00:51 - 0 comments
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Index of notational and terminological conventions
... physics community the adjoint of an operator A on Hilbert space (in matrix terms the complex conjugate of the transpose) is ... for complex numbers). Scalar products In physics, Hilbert space scalar products are defined to be conjugate linear in the first ...
Wiki article - Anonymous (not verified) - 26/10/2015 - 17:56 - 0 comments
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Quantum error correction and fault-tolerance
... general, a quantum error-correcting code is a subspace of a Hilbert space designed so that any of a set of possible errors can be corrected ... 1 Let H n be a 2 n -dimensional Hilbert space (n qubits), and let C be a K-dimensional subspace of H n ...
Wiki article - Anonymous (not verified) - 26/10/2015 - 17:56 - 0 comments
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QICS Category: 00. QUANTUM INFORMATION SCIENCE
... estimation |- | | |- | colspan=2| 07. Mathematics of Hilbert space |- | | |- | 07.10.+r | State representation ...
Wiki article - Anonymous (not verified) - 26/10/2015 - 17:56 - 0 comments
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Pure states
... the pure states exactly form the surface of the sphere. For Hilbert space dimension larger than 2, however, the topological boundary ... The state space of a a system with d -dimensional Hilbert space is d 2 − 1 dimensional, so from this we would ...
Wiki article - Anonymous (not verified) - 26/10/2015 - 17:56 - 0 comments
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Projector
Let H 1 be a closed subspace of the Hilbert space H and H 2 its orthogonal complement in H . ... belongs to a closed subspace H j of the Hilbert space H , and these subspaces give a complete orthogonal ...
Wiki article - Anonymous (not verified) - 26/10/2015 - 17:56 - 0 comments
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Enhancement of channel capacities with entanglement
... n . These symbols will be used to denote both the Hilbert space of the quantum system and the set of density operators on that ... completely positive (TPCP) map from the operators on the Hilbert space of A ʹ to those of B . id C refers to ...
Wiki article - Anonymous (not verified) - 26/10/2015 - 17:56 - 0 comments
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Separable and entangled states
... two quantum systems A and B , with respective Hilbert spaces H A and H B . The Hilbert space of the ...
Wiki article - Anonymous (not verified) - 26/10/2015 - 17:56 - 0 comments
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Squashed entanglement
... d i m (Λ) is an orthonormal basis for the Hilbert space associated with a quantum system Λ . Suppose ...
Wiki article - Anonymous (not verified) - 26/10/2015 - 17:56 - 0 comments