110 citations · 190 across the 11 of their papers we have counts for
11 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-…
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…
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…
Towards a resolution of the spin alignment problem
Mohammad A. Alhejji, Emanuel Knill
Consider minimizing the entropy of a mixture of states by choosing each state subject to constraints. If the spectrum of each state is fixed, we expect that in order to reduce the…
Some Problems Concerning Quantum Channels and Entropies
Mohammad A. Alhejji
Fundamental limits on communication rates over quantum channels are given by mathematical expressions involving entropic formulas. Often, it is unclear if these expressions are com…
Device-independent Randomness Expansion with Entangled Photons
Lynden K. Shalm, Yanbao Zhang, Joshua C. Bienfang +12
With the growing availability of experimental loophole-free Bell tests, it has become possible to implement a new class of device-independent random number generators whose output…
Playing Games with Multiple Access Channels
Felix Leditzky, Mohammad A. Alhejji, Joshua Levin +1
Communication networks have multiple users, each sending and receiving messages. A multiple access channel (MAC) models multiple senders transmitting to a single receiver, such as…
A Tight Uniform Continuity Bound for Equivocation
Mohammad A. Alhejji, Graeme Smith
We prove a tight uniform continuity bound for the conditional Shannon entropy of discrete finitely supported random variables in terms of total variation distance.
Monotonicity Under Local Operations: Linear Entropic Formulas
Mohammad A. Alhejji, Graeme Smith
All correlation measures, classical and quantum, must be monotonic under local operations. In this paper, we characterize monotonic formulas that are linear combinations of the von…