118, 090501 (2017)Īhmadi, M., Dang, H.B., Gour, G., Sanders, B.C.: Quantification and manipulation of magic states. Howard, M., Campbell, E.T.: Application of a resource theory for magic states to fault-tolerant quantum computing. 5, 3821 (2014)ĭel Rio, L., Kraemer, L., Renner, R.: Resource theories of knowledge. Marvian, I., Spekkens, R.W.: Extending Noether’s theorem by quantifying the asymmetry of quantum states. Basic tools, equivalence classes and single copy transformations. Marvian, I., Spekkens, R.W.: The theory of manipulations of pure state asymmetry: I. Gour, G., Marvian, I., Spekkens, R.W.: Measuring the quality of a quantum reference frame: the relative entropy of frameness. Gour, G., Spekkens, R.W.: The resource theory of quantum reference frames: manipulations and monotones. Lostaglio, M.: An introductory review of the resource theory approach to thermodynamics. Goold, J., Huber, M., Riera, A., del Rio, L., Skrzypczyk, P.: The role of quantum information in thermodynamics-a topical review. Li, P., Luo, Y., Li, Y.M.: Distillability for non-full-rank coherent states in the probabilistic framework. Streltsov, A., Adesso, G., Plenio, M.B.: Colloquium: quantum coherence as a resource. Winter, A., Yang, D.: Operational resource theory of coherence. 67, 661 (1991)īaumgratz, T., Cramer, M., Plenio, M.B.: Quantifying coherence. 70, 1895 (1993)Įkert, A.K.: Quantum cryptography based on Bell’s theorem. 69, 2881 (1992)īennett, C.H., Brassard, G., Crépeau, C., Jozsa, R., Peres, A., Wootters, W.K.: Teleporting an unknown quantum state via dual classical and Einstein–Podolsky–Rosen channels. 81, 865 (2009)īennett, C.H., Wiesner, S.J.: Communication via one- and two-particle operators on Einstein–Podolsky–Rosen states. Horodecki, R., Horodecki, P., Horodecki, M., Horodecki, K.: Quantum entanglement. Our work further studies the quantification of imaginarity, and provides two concrete measures with interesting properties for imaginarity, which will contribute to the development of quantum mechanics and quantum technology.īrandão, F.G.S.L., Gour, G.: Reversible framework for quantum resource theories. Moreover, we analyze the quantitative relationships of several imaginarity measures. We also study the corresponding semidefinite programming form of the weight of imaginarity and obtain a closed expression of the relative entropy of imaginarity. In addition, we focus on two specific imaginarity measures: the weight of imaginarity and the relative entropy of imaginarity, proving that they have some nice properties. In this work, we investigate the quantification of imaginarity and explore connections of several properties of imaginary measures. In recent years, some studies and experiments have shown the necessity of complex numbers in quantum physics. This similarity confirms the recent attempts to relate the resource theories of coherence and entanglement in a relativistic regime.Complex numbers are indispensable parts of describing states of quantum systems and their dynamic behavior, and they are widely used in classical and quantum physics. Moreover, it is found that dynamics of quantum coherence closely resembles that of entanglement under the same settings. However, this degradation can be balanced by adjusting the durations of uniform and accelerated motion. We find that coherence shows a periodic degradation due to accelerated motion. For this purpose, we use parameterized two-qubit pure entangled state and a Werner state. The acceleration is assigned very small values and its effects are investigated in a perturbative regime. In this paper, we investigate the quantum coherence of Dirac field modes localized in a cavity as observed by two relatively accelerated observers. Furthermore, quantum coherence has important implications in relativistic quantum information where the degradation of entanglement can be attributed to decoherence. Although quantum coherence is a well known phenomenon in quantum information theory and quantum optics, it has been investigated from the resource theory perspective only recently.
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