14, 3569–3579 (2015)īell, J.S.: On the problem of hidden variables in quantum mechanics. Shi, J.D., Wang, D., et al.: Enhancing quantum correlation in open-system dynamics by reliable quantum operations. Ollivier, H., Zurek, W.H.: Quantum discord: a measure of the quantumness of correlations. Shi, J.D., Wu, T., Song, X.K., Ye, L.: Multipartite concurrence for \(X\) states under decoherence. Horodecki, R., Horodecki, P., Horodecki, M., Horodecki, K.: Quantum entanglement. Moreover, we also give a sufficient condition for a given quantum channel to be coherent and compare with the existing result. Finally, by calculating the coherence measure of noisy channels, it is pointed out that several typical quantum channels, such as the depolarizing quantum channel, the phase damping quantum channel and the amplitude damping quantum channel, are all incoherent. Next, we calculate the coherence measure of Hadamard gate as 1/2 and show that the coherence measure of a composition of channels does not satisfy additivity. We further discuss the extremal property, monotonicity and convexity of the coherence measure of a quantum channel. Motivated by this, we propose a measure for coherence of a quantum channel utilizing the trace distance to quantify its commutativity with the completely dephasing operation. Deep insight can be gained into the nature of coherence by studying the quantum channels. Rev.Quantum coherence is a fundamental resource in quantum information and computation. A 96(3), 032316 (2017)ĭu, S., Bai, Z., Guo, Y.: Conditions for coherence transformations under incoherent operations. Zhu, H., Ma, Z., Cao, Z., Fei, S.-M., Vedral, V.: Operational one-to-one mapping between coherence and entanglement measures. Vidal, G.: Entanglement of pure states for a single copy. Lo, H.-K., Popescu, S.: Concentrating entanglement by local actions: beyond mean values. In: Mathematical Proceedings of the Cambridge Philosophical Society, vol. 31, pp. Schrödinger, E.: Discussion of probability relations between separated systems. Zhao, M.-J., Ma, T., Fei, S.-M.: Coherence of assistance and regularized coherence of assistance. Liu, C., Guo, Y.-Q., Tong, D.: Enhancing coherence of a state by stochastic strictly incoherent operations. Yadin, B., Ma, J., Girolami, D., Gu, M., Vedral, V.: Quantum processes which do not use coherence. Marvian, I., Spekkens, R.W.: How to quantify coherence: distinguishing speakable and unspeakable notions. arXiv:quant-ph/0612146Ĭhitambar, E., Gour, G.: Critical examination of incoherent operations and a physically consistent resource theory of quantum coherence. A 98(5), 052329 (2018b)įang, K., Wang, X., Lami, L., Regula, B., Adesso, G.: Probabilistic distillation of quantum coherence. Regula, B., Lami, L., Streltsov, A.: Nonasymptotic assisted distillation of quantum coherence. Gour, G., Spekkens, R.W.: Entanglement of assistance is not a bipartite measure nor a tripartite monotone. 121(1), 010401 (2018a)Ĭhitambar, E., Streltsov, A., Rana, S., Bera, M., Adesso, G., Lewenstein, M.: Assisted distillation of quantum coherence. Regula, B., Fang, K., Wang, X., Adesso, G.: One-shot coherence distillation. Rains, E.M.: Rigorous treatment of distillable entanglement. A 53(4), 2046 (1996a)īennett, C.H., Brassard, G., Popescu, S., Schumacher, B., Smolin, J.A., Wootters, W.K.: Purification of noisy entanglement and faithful teleportation via noisy channels. 116(12), 120404 (2016)īennett, C.H., Bernstein, H.J., Popescu, S., Schumacher, B.: Concentrating partial entanglement by local operations. Winter, A., Yang, D.: Operational resource theory of coherence. Streltsov, A., Chitambar, E., Rana, S., Bera, M.N., Winter, A., Lewenstein, M.: Entanglement and coherence in quantum state merging. Yu, X.-D., Zhang, D.-J., Xu, G., Tong, D.: Alternative framework for quantifying coherence. Peng, Y., Jiang, Y., Fan, H.: Maximally coherent states and coherence-preserving operations. Streltsov, A., Adesso, G., Plenio, M.B.: Colloquium: quantum coherence as a resource.
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