Entanglement Scaling in Quantum Supremacy Benchmarks [article]

Mauro E.S. Morales and Dax Enshan Koh and Jacob D. Biamonte
2019 arXiv   pre-print
A contemporary technological milestone is to build a quantum device performing a computational task beyond the capability of any classical computer, an achievement known as quantum supremacy. Can the entanglement realized in such a demonstration be quantified? Inspired by the area law of tensor networks, we derive an upperbound for the minimum random circuit depth needed to generate the maximal bipartite entanglement correlations between all problem variables (qubits). This bound is (i) lattice
more » ... geometry dependent and (ii) makes explicit a nuance implicit in other proposals with physical consequence. The hardware itself should be able to support super-logarithmic ebits of entanglement across some poly(n) number of qubit-bipartitions, otherwise the quantum state itself will not possess volumetric entanglement scaling and full-lattice-range correlations. Hence, as we present a connection between quantum supremacy protocols and quantum entanglement, the entanglement implicitly generated by such protocols can be tested separately to further ascertain the validity of any quantum supremacy claim.
arXiv:1808.00460v3 fatcat:cfrbxecei5gavkomp2qy3ldlhe