Classical topology and quantum states
نویسندگان
چکیده
منابع مشابه
Classical Topology and Quantum States
Any two infinite-dimensional (separable) Hilbert spaces are unitarily isomorphic. The sets of all their self-adjoint operators are also therefore unitarily equivalent. Thus if all self-adjoint operators can be observed, and if there is no further major axiom in quantum physics than those formulated for example in Dirac’s ‘Quantum Mechanics’, then a quantum physicist would not be able to tell a ...
متن کاملClassical tensors from quantum states
The embedding of a manifold M into a Hilbert-space H induces, via the pull-back, a tensor field on M out of the Hermitian tensor on H. We propose a general procedure to compute these tensors in particular for manifolds admitting a Lie-group structure.
متن کاملQuantum and classical fidelities for Gaussian states
We examine the physical significance of fidelity as a measure of similarity for Gaussian states, by drawing a comparison with its classical counterpart. We find that the relationship between these classical and quantum fidelities is not straightforward, and in general does not seem to provide insight into the physical significance of quantum fidelity. To avoid this ambiguity we propose that the...
متن کاملA compressed classical description of quantum states
We show how to approximately represent a quantum state using the square root of the usual amount of classical memory. The classical representation of an n-qubit state ψ consists of its inner products with O( √ 2n) stabilizer states. A quantum state initially specified by its 2n entries in the computational basis can be compressed to this form in time O(2npoly(n)), and, subsequently, the compres...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Pramana
سال: 2001
ISSN: 0304-4289,0973-7111
DOI: 10.1007/s12043-001-0120-y