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Entropic uncertainty and certainty relations for complementary observables

Jorge Sánchez

Physics Letters AFeb 1, 1993143 citations

Improved bounds in the entropic uncertainty and certainty relations for complementary observables

Jorge Sánchez-Ruiz

Physics Letters AMay 1, 1995181 citations

Generalized entanglement constraints in multi-qubit systems in terms of Tsallis entropy

Jeong San Kim

Annals of PhysicsJul 23, 201625 citations

Uncertainty and Certainty Relations for Pauli Observables in Terms of Renyi Entropies of Order α∈ （0; 1]

Alexey, Rastegin

理论物理通讯：英文版Jan 1, 20140 citations

Uncertainty and Certainty Relations for Successive Projective Measurements of a Qubit in Terms of Tsallis' Entropies

Alexey E. Rastegin

Abstract We study uncertainty and certainty relations for two successive measurements of two-dimensional observables. Uncertainties in successive measurement are considered within the following two scenarios. In the first scenario, the second measurement is performed on the quantum state generated after the first measurement with completely erased information. In the second scenario, the second measurement is performed on the post-first-measurement state conditioned on the actual measurement outcome. Induced quantum uncertainties are characterized by means of the Tsallis entropies. For two successive projective measurement of a qubit, we obtain minimal and maximal values of related entropic measures of induced uncertainties. Some conclusions found in the second scenario are extended to arbitrary finite dimensionality. In particular, a connection with mutual unbiasedness is emphasized.Abstract We study uncertainty and certainty relations for two successive measurements of two-dimensional observables. Uncertainties in successive measurement are considered within the following two scenarios. In the first scenario, the second measurement is performed on the quantum state generated after the first measurement with completely erased information. In the second scenario, the second measurement is performed on the post-first-measurement state conditioned on the actual measurement outcome. Induced quantum uncertainties are characterized by means of the Tsallis entropies. For two successive projective measurement of a qubit, we obtain minimal and maximal values of related entropic measures of induced uncertainties. Some conclusions found in the second scenario are extended to arbitrary finite dimensionality. In particular, a connection with mutual unbiasedness is emphasized.

arXiv:1502.07918Communications in Theoretical PhysicsJun 1, 20158 citations

Uncertainty and Certainty Relations for Successive Projective Measurements of a Qubit in Terms of Tsallis＇ Entropies

Alexey, Rastegin

我们为二维的 observables 的二连续大小学习无常和必然关系。在连续测量的无常在下列二种情形以内被考虑。在第一种情形，第二大小在与完全擦掉的信息在第一大小以后产生的量状态上被执行。在第二种情形，第二大小在在实际测量结果上调节的 post-first-measurement 状态上被执行。导致的量无常借助于 Tsallis 熵被描绘。为 qubit 的二连续射影的大小，我们获得导致的无常的相关 entropic 措施的最小、最大的价值。在第二种情形发现的一些结论被扩大到任意的有限维数。特别地，有相互的不偏的一个连接被强调。我们为二维的 observables 的二连续大小学习无常和必然关系。在连续测量的无常在下列二种情形以内被考虑。在第一种情形，第二大小在与完全擦掉的信息在第一大小以后产生的量状态上被执行。在第二种情形，第二大小在在实际测量结果上调节的 post-first-measurement 状态上被执行。导致的量无常借助于 Tsallis 熵被描绘。为 qubit 的二连续射影的大小，我们获得导致的无常的相关 entropic 措施的最小、最大的价值。在第二种情形发现的一些结论被扩大到任意的有限维数。特别地，有相互的不偏的一个连接被强调。

理论物理通讯：英文版Jan 1, 20150 citations

Uncertainty and certainty relations for complementary qubit observables in terms of Tsallis’ entropies

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Uncertainty and certainty relations for complementary qubit observables in terms of Tsallis’ entropies

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