Rényi entropy uncertainty relation for successive projective measurements
暂无分享,去创建一个
[1] Iwo Bialynicki-Birula. Formulation of the uncertainty relations in terms of the Rényi entropies , 2006 .
[2] R. Werner,et al. Heisenberg uncertainty for qubit measurements , 2013, 1311.0837.
[3] Raffaele Romano,et al. An optimal entropic uncertainty relation in a two-dimensional Hilbert space , 2003 .
[4] Alexey E. Rastegin,et al. Notes on Entropic Uncertainty Relations Beyond the Scope of Riesz’s Theorem , 2012 .
[5] Alexey E. Rastegin,et al. Uncertainty and certainty relations for complementary qubit observables in terms of Tsallis’ entropies , 2012, Quantum Information Processing.
[6] Keiichi Edamatsu,et al. Experimental violation and reformulation of the Heisenberg's error-disturbance uncertainty relation , 2013, Scientific Reports.
[7] Christian Cachin,et al. Entropy measures and unconditional security in cryptography , 1997 .
[8] Alfredo Luis Aina. Effect of fluctuation measures on the uncertainty relations between two observables: different measures lead to opposite conclusions , 2011 .
[9] M. Ozawa,et al. Violation of Heisenberg's error-disturbance uncertainty relation in neutron-spin measurements , 2013, 1305.7251.
[10] M. Ozawa. Universally valid reformulation of the Heisenberg uncertainty principle on noise and disturbance in measurement , 2002, quant-ph/0207121.
[11] Patrick J. Coles,et al. Improved entropic uncertainty relations and information exclusion relations , 2013, 1307.4265.
[12] Andrew G. White,et al. Experimental joint quantum measurements with minimum uncertainty. , 2013, Physical review letters.
[13] Alexey E. Rastegin,et al. Rényi formulation of the entropic uncertainty principle for POVMs , 2010 .
[14] M. Ozawa. Quantum measuring processes of continuous observables , 1984 .
[15] A. Plastino,et al. Collision entropy and optimal uncertainty , 2011, 1112.5903.
[16] Grzegorz Wilk,et al. Uncertainty relations in terms of Tsallis entropy , 2008, 0806.1660.
[17] G. Guo,et al. Experimental investigation of the entanglement-assisted entropic uncertainty principle , 2010, 1012.0361.
[18] Jorge Sánchez,et al. Entropic uncertainty and certainty relations for complementary observables , 1993 .
[19] S. Baek,et al. Experimental test of error-disturbance uncertainty relations by weak measurement. , 2013, Physical review letters.
[20] S. Zozor,et al. On classes of non-Gaussian asymptotic minimizers in entropic uncertainty principles , 2007 .
[21] A. E. Rastegin,et al. Uncertainty relations for MUBs and SIC-POVMs in terms of generalized entropies , 2013, 1303.4467.
[22] Alexey E. Rastegin,et al. No-cloning theorem for a single POVM , 2009, Quantum Inf. Comput..
[23] Steeve Zozor,et al. Some extensions of the uncertainty principle , 2007, 0709.3011.
[24] M. Ozawa,et al. Experimental demonstration of a universally valid error–disturbance uncertainty relation in spin measurements , 2012, Nature Physics.
[25] A. Plastino,et al. Generalized Entropic Uncertainty Relations with Tsallis' Entropy , 1996 .
[26] Alexey E. Rastegin,et al. Number-phase uncertainty relations in terms of generalized entropies , 2011, Quantum Inf. Comput..
[27] M. D. Srinivas,et al. Optimal entropic uncertainty relation for successive measurements in quantum information theory , 2003 .
[28] Aephraim M. Steinberg,et al. Violation of Heisenberg's measurement-disturbance relationship by weak measurements. , 2012, Physical review letters.
[29] S. Wehner,et al. Entropic uncertainty relations and locking: tight bounds for mutually unbiased bases , 2006, quant-ph/0606244.
[30] Maassen,et al. Generalized entropic uncertainty relations. , 1988, Physical review letters.
[31] A. Rényi. On Measures of Entropy and Information , 1961 .
[32] D. Deutsch. Uncertainty in Quantum Measurements , 1983 .
[33] R. Prevedel,et al. Experimental investigation of the uncertainty principle in the presence of quantum memory and its application to witnessing entanglement , 2010, 1012.0332.
[34] Alexey E. Rastegin,et al. Entropic formulation of the uncertainty principle for the number and annihilation operators , 2010, 1007.1519.
[35] S. Wehner,et al. The Uncertainty Principle Determines the Nonlocality of Quantum Mechanics , 2010, Science.
[36] I. Bialynicki-Birula,et al. Uncertainty relations for information entropy in wave mechanics , 1975 .
[37] Alfredo Luis,et al. Effect of fluctuation measures on the uncertainty relations between two observables: Different measures lead to opposite conclusions , 2011 .
[38] Wonmin Son,et al. Optimized entropic uncertainty for successive projective measurements , 2014, 1401.1013.
[39] Kraus. Complementary observables and uncertainty relations. , 1987, Physical review. D, Particles and fields.
[40] W. Heisenberg. Über den anschaulichen Inhalt der quantentheoretischen Kinematik und Mechanik , 1927 .
[41] R. Renner,et al. Uncertainty relation for smooth entropies. , 2010, Physical review letters.
[42] Alexey E. Rastegin,et al. Uncertainty and Certainty Relations for Pauli Observables in Terms of Rényi Entropies of Order α ∈ (0; 1] , 2013, 1308.5051.
[43] Alexey E. Rastegin,et al. Fine-grained uncertainty relations for several quantum measurements , 2014, Quantum Inf. Process..
[44] Patrick J. Coles,et al. Uncertainty relations from simple entropic properties. , 2011, Physical review letters.
[45] K. Życzkowski,et al. Strong majorization entropic uncertainty relations , 2014, 1402.0129.
[46] H. P. Robertson. The Uncertainty Principle , 1929 .
[47] P. Busch,et al. Heisenberg's uncertainty principle , 2006, quant-ph/0609185.
[48] Lukasz Rudnicki,et al. Comment on Uncertainty relations in terms of the Tsallis entropy , 2010 .
[49] Marco Tomamichel,et al. Tight finite-key analysis for quantum cryptography , 2011, Nature Communications.