Tomographic Witnessing and Holographic Quantifying of Coherence

Wang，Bang Hai1; Zhou，Si Qi2,3; Ma，Zhihao2,3; Fei，Shao Ming4,5

2021-05-01

10.1007/s11128-021-03106-z

Quantum Information Processing   影响因子和分区

1570-0755

1573-1332

The detection and quantification of quantum coherence play significant roles in quantum information processing. We present an efficient way of tomographic witnessing for both theoretical and experimental detection of coherence. We prove that a coherence witness is optimal if and only if all of its diagonal elements are zero. Naturally, we obtain a bona fide homographic measure of coherence given by the sum of the absolute values of the real and the imaginary parts of the non-diagonal entries of a density matrix, together with its interesting relations with other coherence measures like l norm coherence and robust of coherence.

Coherence measure Coherence witness Optimal witnesses Tomographic witnessing

SCI ; EI

英语

其他

WOS:000649367900001

20212010355004

Tomography

Imaging Techniques:746 ; Quantum Theory; Quantum Mechanics:931.4

2-s2.0-85105661330

Scopus

1.School of Computer Science and Technology,Guangdong University of Technology,Guangzhou,510006,China
2.School of Mathematical Sciences,MOE-LSC,Shanghai Jiao Tong University,Shanghai,200240,China
3.Shenzhen Institute for Quantum Science and Engineering,Southern University of Science and Technology,Shenzhen,518055,China
4.School of Mathematical Sciences,Capital Normal University,Beijing,100048,China
5.Max-Planck-Institute for Mathematics in the Sciences,Leipzig,04103,Germany

Wang，Bang Hai,Zhou，Si Qi,Ma，Zhihao,et al. Tomographic Witnessing and Holographic Quantifying of Coherence[J]. Quantum Information Processing,2021,20(5).

Wang，Bang Hai,Zhou，Si Qi,Ma，Zhihao,&Fei，Shao Ming.(2021).Tomographic Witnessing and Holographic Quantifying of Coherence.Quantum Information Processing,20(5).

Wang，Bang Hai,et al."Tomographic Witnessing and Holographic Quantifying of Coherence".Quantum Information Processing 20.5(2021).