Computable bounds for the discrimination of Gaussian states

被引：119
|
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
来源：
PHYSICAL REVIEW A | 2008年 / 78卷 / 01期
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
收藏
页数：8
相关论文
共 50 条
  • [1] Efficiently Computable Safety Bounds for Gaussian Processes in Active Learning
    Tebbe, Joern
    Zimmer, Christoph
    Steland, Ansgar
    Lange-Hegermann, Markus
    [J]. INTERNATIONAL CONFERENCE ON ARTIFICIAL INTELLIGENCE AND STATISTICS, VOL 238, 2024, 238
  • [2] Discrimination of discord in separable Gaussian states
    Spedalieri, Gaetana
    Pirandola, Stefano
    Braunstein, Samuel L.
    [J]. QUANTUM COMMUNICATIONS AND QUANTUM IMAGING XVI, 2018, 10771
  • [3] Tight bounds for the entanglement of formation of Gaussian states
    Nicacio, Fernando
    de Oliveira, Marcos C.
    [J]. PHYSICAL REVIEW A, 2014, 89 (01):
  • [4] Entanglement negativity bounds for fermionic Gaussian states
    Eisert, Jens
    Eisler, Viktor
    Zimboras, Zoltan
    [J]. PHYSICAL REVIEW B, 2018, 97 (16)
  • [5] Bounds on unambiguous discrimination between quantum states
    Li, Lvjun
    [J]. PHYSICAL REVIEW A, 2012, 86 (03):
  • [6] Computable convergence bounds for GMRES
    Liesen, J
    [J]. SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 2000, 21 (03) : 882 - 903
  • [7] Computable Bounds on the Exploration Bias
    Issa, Ibrahim
    Gastpar, Michael
    [J]. 2018 IEEE INTERNATIONAL SYMPOSIUM ON INFORMATION THEORY (ISIT), 2018, : 576 - 580
  • [8] Computable shell decomposition bounds
    Langford, J
    McAllester, D
    [J]. JOURNAL OF MACHINE LEARNING RESEARCH, 2004, 5 : 529 - 547
  • [9] Bounds to precision for quantum interferometry with Gaussian states and operations
    Sparaciari, Carlo
    Olivares, Stefano
    Paris, Matteo G. A.
    [J]. JOURNAL OF THE OPTICAL SOCIETY OF AMERICA B-OPTICAL PHYSICS, 2015, 32 (07) : 1354 - 1359
  • [10] Lower bounds on the entanglement of formation for general Gaussian states
    Rigolin, G
    Escobar, CO
    [J]. PHYSICAL REVIEW A, 2004, 69 (01): : 6
12345