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We introduce and study the l1 norm of coherence of assistance both theoretically and operationally. We first provide an upper bound for the l1 norm of coherence of assistance and show a necessary and sufficient condition for the saturation…

量子物理 · 物理学 2020-02-11 Ming-Jing Zhao , Teng Ma , Quan Quan , Heng Fan , Rajesh Pereira

Coherence and entanglement are fundamental concepts in resource theory. The coherence (entanglement) of assistance is the coherence (entanglement) that can be extracted assisted by another party with local measurement and classical…

量子物理 · 物理学 2021-03-17 Ming-Jing Zhao , Rajesh Pereira , Teng Ma , Shao-Ming Fei

We introduce and study the task of assisted coherence distillation. This task arises naturally in bipartite systems where both parties work together to generate the maximal possible coherence on one of the subsystems. Only incoherent…

量子物理 · 物理学 2016-02-18 E. Chitambar , A. Streltsov , S. Rana , M. N. Bera , G. Adesso , M. Lewenstein

The operational characterization of quantum coherence is the corner stone in the development of resource theory of coherence. We introduce a new coherence quantifier based on max-relative entropy. We prove that max-relative entropy of…

量子物理 · 物理学 2018-01-17 Kaifeng Bu , Uttam Singh , Shao-Ming Fei , Arun Kumar Pati , Junde Wu

Quantum coherence, which quantifies the superposition properties of a quantum state, plays an indispensable role in quantum resource theory. A recent theoretical work [Phys. Rev. Lett. \textbf{116}, 070402 (2016)] studied the manipulation…

量子物理 · 物理学 2017-10-02 Kang-Da Wu , Zhibo Hou , Han-Sen Zhong , Yuan Yuan , Guo-Yong Xiang , Chuan-Feng Li , Guang-Can Guo

Various measures have been suggested recently for quantifying the coherence of a quantum state with respect to a given basis. We first use two of these, the l_1-norm and relative entropy measures, to investigate tradeoffs between the…

量子物理 · 物理学 2015-10-08 Shuming Cheng , Michael J. W. Hall

We study systematically resource measures of coherence and entanglement based on R\'enyi relative entropies, which include the logarithmic robustness of coherence, geometric coherence, and conventional relative entropy of coherence together…

量子物理 · 物理学 2017-11-29 Huangjun Zhu , Masahito Hayashi , Lin Chen

Quantum measurements necessarily disturb the state of physical system. Once we perform a complete measurement, the system undergoes decoherence and loses its coherence. If there is no disturbance, the state retains all of its coherence. It…

量子物理 · 物理学 2018-10-10 Gautam Sharma , Arun Kumar Pati

We investigate the issue of assisted coherence distillation in the asymptotic limit (considering infinite copies of the resource states), by coordinately performing the identical local operations on the auxiliary systems of each copy. When…

量子物理 · 物理学 2022-08-24 Huang-Qiu-Chen Wang , Qi Luo , Qi-Ping Su , Yong-Nan Sun , Nengji Zhou , Li Yu , Zhe Sun

We discuss a general strategy to construct coherence measures. One can build an important class of coherence measures which cover the relative entropy measure for pure states, the $l_1$-norm measure for pure states and the $\alpha$-entropy…

量子物理 · 物理学 2025-08-27 Shuanping Du , Zhaofang Bai , Xiaofei Qi

Compact expressions for the average subentropy and coherence are obtained for random mixed states that are generated via various probability measures. Surprisingly, our results show that the average subentropy of random mixed states…

量子物理 · 物理学 2017-02-08 Lin Zhang , Uttam Singh , Arun Kumar Pati

Quantifying entanglement is a work in progress which is important for the active field of quantum information and computation. A measure of bipartite pure state entanglement is proposed here, named entanglement coherence, which is…

量子物理 · 物理学 2022-02-15 Neha Pathania , Tabish Qureshi

We consider a variant of the entanglement of assistance, as independently introduced by D.P. DiVincenzo {\em et al.} ({\tt quant-ph/9803033}) and O. Cohen (Phys. Rev. Lett. {\bf 80}, 2493 (1998)). Instead of considering three-party states…

量子物理 · 物理学 2016-09-08 T. Laustsen , F. Verstraete , S. J. van Enk

The definition of accessible coherence is proposed. Through local measurement on the other subsystem and one way classical communication, a subsystem can access more coherence than the coherence of its density matrix. Based on the local…

量子物理 · 物理学 2017-04-27 Teng Ma , Ming-Jing Zhao , Hai-Jun Zhang , Shao-Ming Fei , Gui-Lu Long

We investigate the generic aspects of quantum coherence guided by the concentration of measure phenomenon. We find the average relative entropy of coherence of pure quantum states sampled randomly from the uniform Haar measure and show that…

量子物理 · 物理学 2016-03-30 Uttam Singh , Lin Zhang , Arun Kumar Pati

Quantifying coherence is an essential endeavor for both quantum mechanical foundations and quantum technologies. We present a bona fide measure of quantum coherence by utilizing the Tsallis relative operator $(\alpha, \beta)$-entropy. We…

量子物理 · 物理学 2023-06-22 Meng-Li Guo , Zhi-Xiang Jin , Jin-Min Liang , Bo Li , Shao-Ming Fei

We characterize the operational task of environment-assisted distillation of quantum coherence under different sets of free operations when only a finite supply of copies of a given state is available. We first evaluate the one-shot…

量子物理 · 物理学 2018-11-26 Bartosz Regula , Ludovico Lami , Alexander Streltsov

The quantification of quantum coherence has attracted a growing attention, and based on various physical contexts, several coherence measures have been put forward. An interesting question is whether these coherence measures give the same…

量子物理 · 物理学 2016-09-20 C. L. Liu , Xiao-Dong Yu , G. F. Xu , D. M. Tong

We find one-shot bounds for concentration of maximally coherent states in the so called assisted scenario. In this setting, Bob is restricted to performing incoherent operations on his quantum system, however he is assisted by Alice, who…

量子物理 · 物理学 2019-10-17 Madhav Krishnan Vijayan , Eric Chitambar , Min-Hsiu Hsieh

The resource theoretic measure of quantum coherence is basis dependent, and the amount of coherence contained in a state is different in different bases. We obtained analytical solutions for the maximum coherence by optimizing the reference…

量子物理 · 物理学 2017-11-13 Ming-Liang Hu , Shu-Qian Shen , Heng Fan
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