ar X iv : 1 50 3 . 05 08 5 v 4 [ qu an t - ph ] 1 3 D ec 2 01 6 Stronger Error Disturbance Relations for Incompatible Quantum Measurements
نویسنده
چکیده
We formulate a new error-disturbance relation, which is free from explicit dependence upon variances in observables. This error-disturbance relation shows improvement over the one provided by the Branciard inequality and the Ozawa inequality for some initial states and for particular class of joint measurements under consideration. We also prove a modified form of Ozawa’s errordisturbance relation. The later relation provides a tighter bound compared to the Ozawa and the Branciard inequalities for a small number of states.
منابع مشابه
ar X iv : 1 50 5 . 08 14 2 v 1 [ qu an t - ph ] 2 9 M ay 2 01 5 Experimental round - robin differential phase - shift quan - tum key distribution
In conventional quantum key distribution (QKD) protocols, security is guaranteed by estimating the amount of leaked information through monitoring signal disturbance, which, in practice, is generally caused by environmental noise and device imperfections rather than eavesdropping. Such estimation therefore tends to overrate the amount of leaked information in practice, leads to a fundamental th...
متن کاملar X iv : 1 10 6 . 32 24 v 3 [ qu an t - ph ] 2 3 O ct 2 01 1 Experimentally faking the violation of Bell ’ s inequalities
Ilja Gerhardt, 2, 3 Qin Liu, 4 Ant́ıa Lamas-Linares, Johannes Skaar, 5 Valerio Scarani, 6 Vadim Makarov, 5, ∗ and Christian Kurtsiefer 6, † The first two authors contributed equally to this study. Centre for Quantum Technologies, National University of Singapore, 3 Science Drive 2, Singapore 117543 Chemistry Department, Low Temperature Group, University of British Columbia, Vancouver, B.C. V6T 1...
متن کاملar X iv : 1 30 6 . 51 73 v 2 [ qu an t - ph ] 1 1 Ju l 2 01 3 On the Hardnesses of Several Quantum Decoding Problems ∗
We classify the time complexities of three important decoding problems for quantum stabilizer codes. First, regardless of the channel model, quantum bounded distance decoding is shown to be NP-hard, like what Berlekamp, McEliece and Tilborg did for classical binary linear codes in 1978. Then over the depolarizing channel, the decoding problems for finding a most likely error and for minimizing ...
متن کاملar X iv : 0 70 6 . 02 37 v 2 [ qu an t - ph ] 1 1 Ju n 20 08 Quantum Mechanics in Phase Space
The basics of the Wigner formulation of Quantum-Mechanics and few related interpretational issues are presented in a simple language. This formulation has extensive applications in Quantum Optics and in Mixed Quantum-Classical formulations.
متن کاملar X iv : 1 01 1 . 52 06 v 2 [ qu an t - ph ] 8 D ec 2 01 0 More non - locality with less entanglement
We provide an explicit example of a Bell inequality with 3 settings and 2 outcomes per site for which the largest violation is not obtained by the maximally entangled state, even if its dimension is allowed to be arbitrarily large. This complements recent results by Junge and Palazuelos (arXiv:1007.3042) who show, employing tools from operator space theory, that such inequalities do exist. Our ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2016