New invariants for entangled states

被引：6

作者：

Buniy, Roman V. ^{[1
,3
]}

Kephart, Thomas W. ^{[2
]}

机构：

[1] Arizona State Univ, Sch Earth & Space Explorat, Tempe, AZ 85287 USA

[2] Vanderbilt Univ, Dept Phys & Astron, Nashville, TN 37235 USA

[3] Chapman Univ, Schmid Coll Sci, Orange, CA 92866 USA

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL | 2012年 / 45卷 / 18期

关键词：

QUBITS;

D O I：

10.1088/1751-8113/45/18/182001

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We propose new algebraic invariants that distinguish and classify entangled states. Considering qubits as well as higher spin systems, we obtained complete entanglement classifications for cases that were either unsolved or only conjectured in the literature.

引用

页数：9

共 19 条

[1] Four-Qubit Entanglement Classification from String Theory [J].

Borsten, L. ;

Dahanayake, D. ;

Duff, M. J. ;

Marrani, A. ;

Rubens, W. .

PHYSICAL REVIEW LETTERS, 2010, 105 (10)

[2] Black holes, qubits and octonions [J].

Borsten, L. ;

Dahanayake, D. ;

Duff, M. J. ;

Ebrahim, H. ;

Rubens, W. .

PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 2009, 471 (3-4) :113-219

[3] The moduli space of three-qutrit states [J].

Briand, E ;

Luque, JG ;

Thibon, JY ;

Verstraete, F .

JOURNAL OF MATHEMATICAL PHYSICS, 2004, 45 (12) :4855-4867

[4] An algebraic classification of entangled states [J].

Buniy, Roman V. ;

Kephart, Thomas W. .

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2012, 45 (18)

[5] Discussion of the entanglement classification of a 4-qubit pure state [J].

Cao, Y. ;

Wang, A. M. .

EUROPEAN PHYSICAL JOURNAL D, 2007, 44 (01) :159-166

[6] Three qubits can be entangled in two inequivalent ways [J].

Dur, W. ;

Vidal, G. ;

Cirac, J.I. .

Physical Review A - Atomic, Molecular, and Optical Physics, 2000, 62 (06) :062314-062311

[7] Can quantum-mechanical description of physical reality be considered complete? [J].

Einstein, A ;

Podolsky, B ;

Rosen, N .

PHYSICAL REVIEW, 1935, 47 (10) :0777-0780

[8]

Gelfand I.M., 1994, DISCRIMINANTS RESULT

[9]

GREENBERGER DM, 1989, FUND THEOR, V37, P69

[10]

Klyachko A.A., 2002, ARXIVQUANTPH0206012V

← 1 2 →