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quant-ph2023
On the power of geometrically-local classical and quantum circuits
Kishor Bharti, Rahul Jain
We show a relation, based on parallel repetition of the Magic Square game, that can be solved, with probability exponentially close to (worst-case input), by (uniform) dep…
quant-ph2023★ 2 cited
Area laws and tensor networks for maximally mixed ground states
Itai Arad, Raz Firanko, Rahul Jain
We show an area law in the mutual information for the maximally-mixed state in the ground space of general Hamiltonians, which is independent of the underlying ground space deg…