Demonstrates a task solvable with 12 qubits but requiring 62-382 classical bits of memory, yielding unconditional quantum information supremacy on a trapped-ion processor.
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2025 2verdicts
UNVERDICTED 2representative citing papers
Rigorous bounds establish that t = Theta(k^2) non-Clifford gates are necessary and sufficient for frame-potential approximation to unitary k-designs while t = Theta(nk) suffices for relative-error k-designs.
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Demonstrating an unconditional separation between quantum and classical information resources
Demonstrates a task solvable with 12 qubits but requiring 62-382 classical bits of memory, yielding unconditional quantum information supremacy on a trapped-ion processor.
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Non-Clifford Cost of Random Unitaries
Rigorous bounds establish that t = Theta(k^2) non-Clifford gates are necessary and sufficient for frame-potential approximation to unitary k-designs while t = Theta(nk) suffices for relative-error k-designs.