Zobrazeno 1 - 10
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pro vyhledávání: '"Klein, John"'
Autor:
Klein, John R.
Given an acyclic map $X\to Y$ of closed manifolds dimension $d$, we study the relationship between the embeddings of $Y$ in $S^{n}$ with those of $X$ in $S^{n}$ when $n-d \ge 3$. The approach taken here is to first solve the Poincar\'e duality space
Externí odkaz:
http://arxiv.org/abs/2408.11403
For an $n$-qubit system, a rational function on the space of mixed states which is invariant with respect to the action of the group of local symmetries may be viewed as a detailed measure of entanglement. We show that the field of all such invariant
Externí odkaz:
http://arxiv.org/abs/2403.06346
We introduce the notion of an X-state on $n$-qubits. After taking the Zariski closure of the set of X-states in the space of all mixed states, we obtain a complex algebraic variety $\scr X$ that is equipped with the action of the Lie group of local s
Externí odkaz:
http://arxiv.org/abs/2402.17181
We calculate the field of rational local unitary invariants for mixed states of two qubits, by employing methods from algebraic geometry. We prove that this field is rational (i.e. purely transcendental), and that it is generated by nine algebraicall
Externí odkaz:
http://arxiv.org/abs/2305.16178
We compute the field of rational local unitary invariants for locally maximally mixed states and symmetrically mixed states of two qubits. In both cases, we prove that the field of rational invariants is purely transcendental. We also construct expli
Externí odkaz:
http://arxiv.org/abs/2304.13555
Software is a critical aspect of large-scale science, providing essential capabilities for making scientific discoveries. Large-scale scientific projects are vast in scope, with lifespans measured in decades and costs exceeding hundreds of millions o
Externí odkaz:
http://arxiv.org/abs/2304.13797