2015/09/30 by Arijit Dutta, Junghee Ryu, Wieslaw Laskowski +3
Computer Science · Physics and Astronomy · #Artificial intelligence #Noise (video) #Physics #Quantum #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum entanglement #Quantum mechanics #Resistance (ecology) #Statistical physics #Theoretical physics #quant-ph
paper · pdf · doi:10.1016/j.physleta.2016.04.043
published as Phys. Lett. A 380, 2191 (2016) · 10 pages, 5 figures, journal version, acknowledgments updated
openalex publication_date 2016/05/03 · openalex created_date 2016/06/24 · arxiv created 2016/10/06 · arxiv updated 2016/10/10 · openalex updated_date 2026/08/05
Too much noise kills entanglement. This is the main problem in its production and transmission. We use a handy approach to indicate noise resistance of entanglement of a bi-partite system described by d× d Hilbert space. Our analysis uses a geometric approach based on the fact that if a scalar product of a vector s with a vector e is less than the square of the norm of e, then s≠e. We use such concepts for correlation tensors of separable and entangled states. As a general form correlation tensors for pairs of qudits, for d>2, is very difficult to obtain, because one does not have a Bloch sphere for pure one qudit states, we use a simplified approach. The criterion reads: if the largest Schmidt eigenvalue of a correlation tensor is smaller than the square of its norm, then the state is entangled. this criterion is applied in the case of various types of noise admixtures to the initial (pure) state. These include white noise, colored noise, local depolarizing noise and amplitude damping noise. A broad set of numerical and analytical results is presented. As the other simple criterion for entanglement is violation of Bell's inequalities, we also find critical noise parameters to violate specific family of Bell inequalities (CGLMP), for maximally entangled states. We give analytical forms of our results for d approaching infinity.