Bound on trace distance based on superfidelity

被引：22

作者：

Puchala, Zbigniew ^{[1
]}

Miszczak, Jaroslaw Adam ^{[1
,2
]}

机构：

[1] Polish Acad Sci, Inst Theoret & Appl Informat, PL-44100 Gliwice, Poland

[2] Masaryk Univ, Fac Informat, Brno 60200, Czech Republic

来源：

PHYSICAL REVIEW A | 2009年 / 79卷 / 02期

关键词：

matrix algebra; quantum theory; QUANTUM; FIDELITY;

D O I：

10.1103/PhysRevA.79.024302

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

We provide a bound for the trace distance between two quantum states. The lower bound is based on the superfidelity, which provides the upper bound on quantum fidelity. One of the advantages of the presented bound is that it can be estimated using a simple measurement procedure. We also compare this bound with the one provided in terms of fidelity.

引用

页数：4

共 11 条

[1] Discriminating states:: The quantum Chernoff bound [J].

Audenaert, K. M. R. ;

Calsamiglia, J. ;

Munoz-Tapia, R. ;

Bagan, E. ;

Masanes, Ll. ;

Acin, A. ;

Verstraete, F. .

PHYSICAL REVIEW LETTERS, 2007, 98 (16)

[2]

Bengtsson I., 2017, GEOMETRY QUANTUM STA, DOI DOI 10.1017/9781139207010

[3] Direct measurement of nonlinear properties of bipartite quantum states [J].

Bovino, FA ;

Castagnoli, G ;

Ekert, A ;

Horodecki, P ;

Alves, CM ;

Sergienko, AV .

PHYSICAL REVIEW LETTERS, 2005, 95 (24)

[4] Fringe visibility and which-way information: An inequality [J].

Englert, BG .

PHYSICAL REVIEW LETTERS, 1996, 77 (11) :2154-2157

[5] Cryptographic distinguishability measures for quantum-mechanical states [J].

Fuchs, CA ;

van de Graaf, J .

IEEE TRANSACTIONS ON INFORMATION THEORY, 1999, 45 (04) :1216-1227

[6] GUIDE TO MATHEMATICAL CONCEPTS OF QUANTUM THEORY [J].

Heinosaari, Teiko ;

Ziman, Mario .

ACTA PHYSICA SLOVACA, 2008, 58 (04) :487-674

[7] FIDELITY FOR MIXED QUANTUM STATES [J].

JOZSA, R .

JOURNAL OF MODERN OPTICS, 1994, 41 (12) :2315-2323

[8] Quantum state discrimination: A geometric approach [J].

Markham, Damian ;

Miszczak, Jaroslaw Adam ;

Puchala, Zbigniew ;

Zyczkowski, Karol .

PHYSICAL REVIEW A, 2008, 77 (04)

[9] Alternative fidelity measure between quantum states [J].

Mendonca, Paulo E. M. F. ;

Napolitano, Reginaldo D. J. ;

Marchiolli, Marcelo A. ;

Foster, Christopher J. ;

Liang, Yeong-Cherng .

PHYSICAL REVIEW A, 2008, 78 (05)

[10]

Miszczak JA, 2009, QUANTUM INF COMPUT, V9, P103

← 1 2 →