December 2018

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Author:
Alessio Celi
Body:

Understanding strongly coupled gauge theories is a fundamental challenge of physics, with dramatic

implications both for high energy and condensed matter. Doing it with a quantum simulator is a

formidable test for quantum simulation. Here we show that by exploiting electromagnetic duality, we

can create the Rokhsar-Kivelson Hamiltonian –a 2D U(1) lattice gauge theory that describes quantum

dimers- in running Rydberg experiments by exploiting Rydberg blockade in a novel fashion. Quantum

phases like resonating valence bonds become immediately accessible to Rydberg experiments, with 

dramatic implications for atomic, condensed matter, and high energy physics.

 
Author:
Felix Huber
Body:

We present new bounds on the existence of quantum maximum distance separable 
codes (QMDS): the length n of all non-trivial QMDS codes with local dimension 
D and distance d is bounded by n ≤ D^2 + d − 2. We obtain their weight 
distribution by investigating families of QMDS codes, and present additional 
bounds that arise from Rains’ shadow inequalities. Our main result can be seen 
as a generalization of bounds that are known for the two special cases of 
stabilizer QMDS codes and absolutely maximally entangled states, and confirms 
the quantum MDS conjecture in the special case of distance-three codes. 
Because the existence of QMDS codes is directly linked to that of highly 
entangled subspaces (in which every vector has uniform r-body marginals) of 
maximal dimension, our methods directly carry over to address questions in 
multipartite entanglement.

 
 
 
 
 
 
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