We propose and analyze a novel interactive protocol for demonstrating quantum
computational advantage, which is efficiently classically verifiable. Our
protocol relies upon the cryptographic hardness of trapdoor claw-free functions
(TCFs). Through a surprising connection to Bell’s inequality, our protocol
avoids the need for an adaptive hardcore bit, with essentially no increase in
the quantum circuit complexity and no extra cryptographic assumptions.
Crucially, this expands the set of compatible TCFs, and we propose two new
constructions: one based upon the decisional Diffie-Hellman problem and the
other based upon Rabin’s function, $x^2 bmod N$. We also describe two unique
features of our interactive protocol: (i) it allows one to discard so-called
“garbage bits”, thereby removing the need for reversibility in the quantum
circuits, and (ii) there exists a natural post-selection scheme, which
significantly reduces the fidelity needed to demonstrate quantum advantage.
Finally, we design several efficient circuits for $x^2 bmod N$ and describe a
blueprint for their implementation on a Rydberg-atom-based quantum computer.

360 Mobile Vision - 360mobilevision.com North & South Carolina Security products and Systems Installations for Commercial and Residential - $55 Hourly Rate. ACCESS CONTROL, INTRUSION ALARM, ACCESS CONTROLLED GATES, INTERCOMS AND CCTV INSTALL OR REPAIR 360 Mobile Vision - 360mobilevision.com is committed to excellence in every aspect of our business. We uphold a standard of integrity bound by fairness, honesty and personal responsibility. Our distinction is the quality of service we bring to our customers. Accurate knowledge of our trade combined with ability is what makes us true professionals. Above all, we are watchful of our customers interests, and make their concerns the basis of our business.

We propose and analyze a novel interactive protocol for demonstrating quantum
computational advantage, which is efficiently classically verifiable. Our
protocol relies upon the cryptographic hardness of trapdoor claw-free functions
(TCFs). Through a surprising connection to Bell’s inequality, our protocol
avoids the need for an adaptive hardcore bit, with essentially no increase in
the quantum circuit complexity and no extra cryptographic assumptions.
Crucially, this expands the set of compatible TCFs, and we propose two new
constructions: one based upon the decisional Diffie-Hellman problem and the
other based upon Rabin’s function, $x^2 bmod N$. We also describe two unique
features of our interactive protocol: (i) it allows one to discard so-called
“garbage bits”, thereby removing the need for reversibility in the quantum
circuits, and (ii) there exists a natural post-selection scheme, which
significantly reduces the fidelity needed to demonstrate quantum advantage.
Finally, we design several efficient circuits for $x^2 bmod N$ and describe a
blueprint for their implementation on a Rydberg-atom-based quantum computer.

360 Mobile Vision - 360mobilevision.com North & South Carolina Security products and Systems Installations for Commercial and Residential - $55 Hourly Rate. ACCESS CONTROL, INTRUSION ALARM, ACCESS CONTROLLED GATES, INTERCOMS AND CCTV INSTALL OR REPAIR 360 Mobile Vision - 360mobilevision.com is committed to excellence in every aspect of our business. We uphold a standard of integrity bound by fairness, honesty and personal responsibility. Our distinction is the quality of service we bring to our customers. Accurate knowledge of our trade combined with ability is what makes us true professionals. Above all, we are watchful of our customers interests, and make their concerns the basis of our business.

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