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Random circuits have no shortcuts

Theoretical physicists studying black holes have produced a conjecture that random quantum circuits cannot be simplified. Now, a minimal version of this conjecture has been proven, reaching a milestone in quantum-circuit complexity theory.

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Fig. 1: A quantum circuit made by random two-qubit gates.


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Correspondence to Lorenzo Piroli.

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Piroli, L. Random circuits have no shortcuts. Nat. Phys. 18, 482–483 (2022).

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