On the Ring of Local Unitary Invariants for Mixed X-States of Two Qubits

被引：0

作者：

Gerdt V. ^{[1
]}

Khvedelidze A. ^{[2
,3
,4
]}

Palii Y. ^{[5
]}

机构：

[1] Laboratory of Information Technologies, Joint Institute for Nuclear Research, University “Dubna”, Dubna

[2] Institute of Quantum Physics and Engineering Technologies, Georgian Technical University, Tbilisi

[3] A. Razmadze Mathematical Institute, Iv. Javakhishvili Tbilisi State University, Tbilisi

[4] National Research Nuclear University MEPhI (Moscow Engineering Physics Institute), Moscow

[5] Institute of Applied Physics, Chisinau

来源：

Journal of Mathematical Sciences | 2017年 / 224卷 / 2期

关键词：

D O I：

10.1007/s10958-017-3409-1

中图分类号：

学科分类号：

摘要：

Entangling properties of a mixed two-qubit system can be described by local homogeneous unitary invariant polynomials in the elements of the density matrix. The structure of the corresponding ring of invariant polynomials for a special subclass of states, the so-called mixed X-states, is established. It is shown that for the X-states there is an injective ring homomorphism of the quotient ring of SU(2)×SU(2)-invariant polynomials modulo its syzygy ideal to the SO(2) × SO(2)-invariant ring freely generated by five homogeneous polynomials of degrees 1, 1, 1, 2, 2. © 2017, Springer Science+Business Media New York.

引用

页码：238 / 249

页数：11

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