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A register of cryptographic exposure to quantum computation Updated —

§1  ·  Exposure Overview

Risk Profiles for Cryptographic Primitives

Shor's algorithm turns the hard problems beneath RSA, Diffie–Hellman and elliptic-curve cryptography into polynomial-time ones. Symmetric ciphers and hashes are only dented by Grover. This table ranks the widely deployed primitives by how exposed they are — the infrastructure that falls with each, the logical qubits a machine needs to break it, and credible estimates for when that many qubits arrive. Because harvest-now, decrypt-later is already viable, anything encrypted today with these primitives is a standing target.

Elliptic curves · Shor

An \(n\)-bit curve needs on the order of

\[ 9n + 2\lceil \log_2 n \rceil + 10 \]

logical qubits — about 2,330 for a 256-bit curve.

Roetteler, Naehrig, Svore & Lauter, ASIACRYPT 2017

RSA & finite-field · Shor

An \(n\)-bit modulus or group needs roughly

\[ 3n + 0.002\,n \lg n \]

logical qubits — ≈6,200 at 2048 bits, and the physical figure keeps falling.

Gidney & Ekerå, Quantum 2021; Gidney 2025

Symmetric & hashes · Grover

Grover only cuts the effective strength to

\[ n/2 \text{ bits} \]

so AES-256 and SHA-256 keep a comfortable margin.

Grover 1996; Grassl et al. 2016

Explore the ledger

How to read the qubit figures

These are algorithm-level logical-qubit estimates from the cited literature — not fixed constants. They shrink as algorithms improve (RSA-2048's physical estimate fell ~20× between 2019 and 2025). Crucially, holding enough logical qubits is necessary but not sufficient: a real break also needs the required gate depth, runtime and a low logical error rate, each demanding many physical qubits per logical qubit. Treat every number as an order-of-magnitude signpost, not a countdown.