关于x态的变化

IF 1.4 3区数学 Q1 MATHEMATICS

Analysis and Mathematical Physics Pub Date : 2025-01-25 DOI:10.1007/s13324-025-01010-8

Luca Candelori, Vladimir Y. Chernyak, John R. Klein

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引用次数: 0

摘要

我们在n量子位上引入了x态的概念。在所有混合态空间中取x态集合的Zariski闭包后，我们得到了一个具有局部对称g的李群作用的复代数变量\({\mathscr {X}}\)。我们证明了\({\mathscr {X}}\)上g不变有理函数的域在\(2^{2n-1}-n-1\)次复数上是纯超越的。

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On the variety of X-states

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 \({\mathscr {X}}\) that is equipped with the action of the Lie group of local symmetries G. We show that the field of G-invariant rational functions on \({\mathscr {X}}\) is purely transcendental over the complex numbers of degree \(2^{2n-1}-n-1\).

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来源期刊

Analysis and Mathematical Physics MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

2.70

自引率

0.00%

发文量

122

期刊介绍： Analysis and Mathematical Physics (AMP) publishes current research results as well as selected high-quality survey articles in real, complex, harmonic; and geometric analysis originating and or having applications in mathematical physics. The journal promotes dialog among specialists in these areas.