Physics Cosmic Scale

If you wanted to use a quantum computer to mine Bitcoin today, you’d need the total energy of an entire sun to power it.

March 27, 2026

Original Paper

Kardashev scale Quantum Computing for Bitcoin Mining

Pierre-Luc Dallaire-Demers

arXiv · 2603.25519

The Takeaway

While quantum computers are often feared for their ability to break encryption, this study calculates the actual physical cost of using them for Bitcoin mining. To succeed, a quantum mining fleet would need roughly 10^25 Watts of power—a scale known as a Type II Kardashev civilization, which involves capturing the total energy of a star like the Sun.

From the abstract

Bitcoin already faces a quantum threat through Shor attacks on elliptic-curve signatures. This paper isolates the other component that public discussion often conflates with it: mining. Grover's algorithm halves the exponent of brute-force search, promising a quadratic edge to any quantum miner of Bitcoin. Exactly how large that edge grows depends on fault-tolerant hardware. No prior study has costed that hardware end to end. We build an open-source estimator that sweeps the full attack surface: