5 papers
Constraints on recovering quantum information after erasure
Mohammad A. Alhejji, Noah Lordi, Omkar Baraskar +2
Suppose that we encode quantum information into physical carriers. With what probabilities can we perfectly recover the quantum information after sets of carriers have been e…
A majorization relation for a sum of two tensor products of positive semidefinite operators
Mohammad A. Alhejji, Cole Kelson-Packer
We use linear programming to prove a separable version of Ky Fan's majorization relation for a sum of two operators that are each a tensor product of positive semidefinite oper…
Local Distinguishability of Multipartite Orthogonal Quantum States: Generalized and Simplified
Ian George, Mohammad A. Alhejji
In a seminal work [PRL85.4972], Walgate, Short, Hardy, and Vedral prove in finite dimensions that for every pair of pure multipartite orthogonal quantum states, there exists a one-…
Refining Ky Fan's majorization relation with linear programming
Mohammad A. Alhejji
A separable version of Ky Fan's majorization relation is proven for a sum of two operators that are each a tensor product of two positive semi-definite operators. In order to prove…
Traceable random numbers from a nonlocal quantum advantage
Gautam A. Kavuri, Jasper Palfree, Dileep V. Reddy +20
The unpredictability of random numbers is fundamental to both digital security and applications that fairly distribute resources. However, existing random number generators have li…