Every paper we track
Each figure is quoted from the paper and checked against its text. Lower qubit counts mean an easier attack.
256-bit elliptic curve (6)
secp256k1, P-256, Curve25519, Ed25519
| Date | Paper | Physical qubits | Logical qubits | Run time |
|---|---|---|---|---|
| Oct 2026 | Shor's algorithm compiled on cat qubits: 22 593 qubits for RSA-2048 in 3.14 daysarXiv 2610.37839 | 29,588 | n/a | 1.03 hours |
| Sep 2026 | Computing 256-bit elliptic curve discrete logarithms in 26 days on a fault-tolerant trapped-ion quantum computer with 20,000 qubitsarXiv 2609.05625 | 19,397down 85% | n/a | 25.7 days |
| Jul 2026 | Quantum Algorithm for Elliptic Curve Discrete Logarithms with Space-Efficient Point AdditionarXiv 2607.13816 | n/a | 835down 30% | n/a |
| Mar 2026 | Securing Elliptic Curve Cryptocurrencies against Quantum Vulnerabilities: Resource Estimates and MitigationsarXiv 2603.28846 | n/a | 1,200down 48% | 9 minutes |
| Feb 2023 | Performance Analysis of a Repetition Cat Code Architecture: Computing 256-bit Elliptic Curve Logarithm in 9 Hours with 126133 Cat QubitsarXiv 2302.06639 | 126,133 | n/a | 9 hours |
| Jun 2017 | Quantum resource estimates for computing elliptic curve discrete logarithmsarXiv 1706.06752 | n/a | 2,330 | n/a |
RSA-2048 (4)
TLS certificates, code signing, older PGP keys
| Date | Paper | Physical qubits | Logical qubits | Run time |
|---|---|---|---|---|
| Oct 2026 | Shor's algorithm compiled on cat qubits: 22 593 qubits for RSA-2048 in 3.14 daysarXiv 2610.37839 | 22,593down 94% | n/a | 3.1 days |
| Apr 2026 | Heterogeneous architectures enable a 138x reduction in physical qubit requirements for fault-tolerant quantum computing under detailed acco…arXiv 2604.06319 | 381,000down 62% | n/a | 9.2 days |
| May 2025 | How to factor 2048 bit RSA integers with less than a million noisy qubitsarXiv 2505.15917 | 1 milliondown 95% | n/a | 7 days |
| May 2019 | How to factor 2048 bit RSA integers in 8 hours using 20 million noisy qubitsarXiv 1905.09749 | 20 million | n/a | 8 hours |
384-bit elliptic curve (1)
P-384
| Date | Paper | Physical qubits | Logical qubits | Run time |
|---|---|---|---|---|
| Jun 2017 | Quantum resource estimates for computing elliptic curve discrete logarithmsarXiv 1706.06752 | n/a | 3,484 | n/a |
512-bit finite-field discrete log (1)
smaller than the sizes in use
| Date | Paper | Physical qubits | Logical qubits | Run time |
|---|---|---|---|---|
| Oct 2026 | Shor's algorithm compiled on cat qubits: 22 593 qubits for RSA-2048 in 3.14 daysarXiv 2610.37839 | 6,656 | n/a | 21 minutes |
AES-128 (1)
key search with Grover's algorithm
| Date | Paper | Physical qubits | Logical qubits | Run time |
|---|---|---|---|---|
| Dec 2015 | Applying Grover's algorithm to AES: quantum resource estimatesarXiv 1512.04965 | n/a | 2,953 | n/a |
SHA-256 (1)
pre-image search with Grover's algorithm
| Date | Paper | Physical qubits | Logical qubits | Run time |
|---|---|---|---|---|
| Mar 2016 | Estimating the cost of generic quantum pre-image attacks on SHA-2 and SHA-3arXiv 1603.09383 | n/a | 2,402 | n/a |