3 papers
quant-ph2026
Securing Elliptic Curve Cryptocurrencies against Quantum Vulnerabilities: Resource Estimates and Mitigations
Ryan Babbush, Adam Zalcman, Craig Gidney +6
This whitepaper seeks to elucidate implications that the capabilities of developing quantum architectures have on blockchain vulnerabilities and mitigation strategies. First, we pr…
quant-ph2025
A log-depth in-place quantum Fourier transform that rarely needs ancillas
Gregory D. Kahanamoku-Meyer, John Blue, Thiago Bergamaschi +2
When designing quantum circuits for a given unitary, it can be much cheaper to achieve a good approximation on most inputs than on all inputs. In this work we formalize this idea,…
quant-ph2025
A Constant Rate Quantum Computer on a Line
Craig Gidney, Thiago Bergamaschi
We prove by construction that the Bravyi-Poulin-Terhal bound on the spatial density of stabilizer codes does not generalize to stabilizer circuits. To do so, we construct a fault t…