Questions tagged [hilbert-space]
Understanding the geometric (tensor composition, vectors, holistic character) or algebraic (observables, commutative subspaces) properties of Hilbert spaces described in Quantum Information and Quantum Computation Science
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questions with no upvoted or accepted answers
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How the circuit covers the Hilbert Space
I am refreshing my functional analysis knowledge to learn quantum machine learning and I am getting confused on Hilbert spaces. What does it mean for a "circuit to cover the Hilbert Space" I ...
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Neumark dilation for qubit tetrahedron SIC-POVM
I would like to know if an analytic solution is known for the Neumark dilation of the qubit tetrahedron SIC-POVM defined by
$$ M_0= \frac{1}{4\sqrt{3}} \Big( \sqrt{3}I + X +Y +Z \Big), \qquad M_1= \...
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Quadratic forms on finite linear combinations of pure symmetric (+) or antisymmetric (−) tensor products of basis vectors
I'm trying to solve this problem, I am not sure how to go about it. Some help would be highly appreciated.
Let $\mathcal{H}$ be a (one-body) Hilbert space and let $\{u_\alpha\}^\infty_{\alpha=1}$ be ...
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