Computable bounds for the discrimination of Gaussian states

被引:122
作者
Pirandola, Stefano [1 ]
Lloyd, Seth [1 ,2 ]
机构
[1] MIT, Elect Res Lab, Cambridge, MA 02139 USA
[2] MIT, Dept Mech Engn, Cambridge, MA 02139 USA
关键词
D O I
10.1103/PhysRevA.78.012331
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
By combining the Minkowski inequality and the quantum Chernoff bound, we derive easy-to-compute upper bounds for the error probability affecting the optimal discrimination of Gaussian states. In particular, these bounds are useful when the Gaussian states are unitarily inequivalent, i.e., they differ in their symplectic invariants.
引用
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页数:8
相关论文
共 24 条
[1]  
Arnold V. I., 1978, Mathematical methods of classical mechanics
[2]   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)
[3]  
Bhatia R., 1997, Graduate Texts in Mathematics, V169
[4]   Quantum information with continuous variables [J].
Braunstein, SL ;
van Loock, P .
REVIEWS OF MODERN PHYSICS, 2005, 77 (02) :513-577
[5]   Quantum Chernoff bound as a measure of distinguishability between density matrices:: Application to qubit and Gaussian states [J].
Calsamiglia, J. ;
Munoz-Tapia, R. ;
Masanes, Ll. ;
Acin, A. ;
Bagan, E. .
PHYSICAL REVIEW A, 2008, 77 (03)
[6]   Cloning of continuous quantum variables [J].
Cerf, NJ ;
Ipe, A ;
Rottenberg, X .
PHYSICAL REVIEW LETTERS, 2000, 85 (08) :1754-1757
[7]   Cloning and cryptography with quantum continuous variables [J].
Cerf, NJ ;
Iblisdir, S ;
Van Assche, G .
EUROPEAN PHYSICAL JOURNAL D, 2002, 18 (02) :211-218
[8]   A MEASURE OF ASYMPTOTIC EFFICIENCY FOR TESTS OF A HYPOTHESIS BASED ON THE SUM OF OBSERVATIONS [J].
CHERNOFF, H .
ANNALS OF MATHEMATICAL STATISTICS, 1952, 23 (04) :493-507
[9]   INTRODUCTION TO THE BASICS OF ENTANGLEMENT THEORY IN CONTINUOUS-VARIABLE SYSTEMS [J].
Eisert, J. ;
Plenio, M. B. .
INTERNATIONAL JOURNAL OF QUANTUM INFORMATION, 2003, 1 (04) :479-506
[10]  
ERKMEN BI, UNPUB, P43002