3 citations · 5 across the 4 of their papers we have counts for
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When can classical neural networks represent quantum states?
Tai-Hsuan Yang, Mehdi Soleimanifar, Thiago Bergamaschi +1
A naive classical representation of an n-qubit state requires specifying exponentially many amplitudes in the computational basis. Past works have demonstrated that classical neura…
Quantum advantage from measurement-induced entanglement in random shallow circuits
Adam Bene Watts, David Gosset, Yinchen Liu +1
We study random constant-depth quantum circuits in a two-dimensional architecture. While these circuits only produce entanglement between nearby qubits on the lattice, long-range e…
Certifying almost all quantum states with few single-qubit measurements
Hsin-Yuan Huang, John Preskill, Mehdi Soleimanifar
Certifying that an n-qubit state synthesized in the lab is close to the target state is a fundamental task in quantum information science. However, existing rigorous protocols eith…