Triply Positive Matrices and Quantum Measurements Motivated by QBism. (arXiv:1812.08762v1 [quant-ph])  quant-ph updates on arXiv.org on 2018-12-22 3:56am GMT Authors: John B. DeBrota, Christopher A. Fuchs, Blake C. Stacey We study a class of quantum measurements that furnish probabilistic representations of finite-dimensional quantum theory. The Gram matrices associated with these Minimal Informationally Complete quantum measurements (MICs) exhibit a rich structure. They are “positive”… Read more →

Complete list of Bell inequalities with four binary settings. (arXiv:1811.11820v1 [quant-ph])  quant-ph updates on arXiv.org on 2018-12-01 1:20am GMT Authors: E. Zambrini Cruzeiro, N. Gisin We give the complete list of 175 facet Bell inequalities for the case where Alice and Bob each choose their measurements from a set of four binary outcome measurements. For each inequality we compute the maximum quantum… Read more →

On the Consistency of the Wheeler-DeWitt Equation in the Quantized Eddington-inspired Born-Infeld Gravity. (arXiv:1810.10918v1 [gr-qc])  hep-th updates on arXiv.org on 2018-10-26 3:30am GMT Authors: Mariam Bouhmadi-López, Che-Yu Chen, Pisin Chen We re-examine the quantum geometrodynamical approach within the Eddington-inspired-Born-Infeld theory of gravity, which was first proposed in our previous work [1]. A thorough analysis of the classical Hamiltonian with constraints is carried and… Read more →

A Toy Model of the Information Paradox in Empty Space. (arXiv:1809.10154v1 [hep-th])  gr-qc updates on arXiv.org on 2018-9-28 12:43pm GMT Authors: Suvrat Raju A sharp version of the information paradox involves a seeming violation of the monogamy of entanglement during black hole evaporation. We construct an analogous paradox in empty anti-de Sitter space. In a local quantum field theory, Bell correlations… Read more →

Dimensional reduction via a novel Higgs mechanism. (arXiv:1806.07520v1 [gr-qc] CROSS LISTED)  hep-th updates on arXiv.org on 2018-6-23 1:03am GMT Authors: Saurya Das, Mir Faizal Many theories of quantum gravity live in higher dimensions, and their reduction to four dimensions via mechanisms such as Kaluza-Klein compactification or brane world models have associated problems. We propose a novel mechanism of dimensional reduction via spontaneous… Read more →

Why initial system-environment correlations do not imply the failure of complete positivity: a causal perspective. (arXiv:1806.02381v1 [quant-ph])  quant-ph updates on arXiv.org on 2018-6-09 12:56am GMT Authors: David Schmid, Katja Reid, Robert W. Spekkens The common wisdom in the field of quantum information theory is that when a system is initially correlated with its environment, the map describing its evolution may fail to be… Read more →