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Quantum Computers and Bitcoin: How Big Is the Threat?

Quantum computers and Bitcoin: which coins are really at risk, how far the technology is, what developers plan and what you can do today.

By · · 14 min read

Short answer: A large quantum computer could calculate a private key from a public key and use it to steal bitcoin. The coins most at risk are those whose public key is already on the blockchain, about 7 million BTC. No such computer exists yet. Bitcoin can protect itself with an upgrade, but that takes years of lead time.

Every few months a lab announces a record, and soon after you read: "Quantum computers will crack Bitcoin." For you as a long-term holder, this is not an academic question. If you plan to hold your coins for 10 or 20 years, you need to know whether they will stay safe over that time. This article shows, without panic and without sugarcoating, what a quantum computer could attack in Bitcoin, how far the technology has come, what developers are planning and what you can do today.

What a quantum computer does differently

An ordinary computer works with bits that are either 0 or 1. A quantum computer works with qubits, which can be in a superposition of several states at once. That doesn't make it faster at everything; for most tasks it offers nothing.

For a few mathematical problems, though, there are quantum methods that far outperform anything known. One of them is exactly the problem Bitcoin's signatures rely on. The mathematician Peter Shor described this method in 1994, and it has been called Shor's algorithm ever since.

The catch: qubits are extremely sensitive to interference. Long calculations therefore need error correction, in which many physical qubits together form one stable logical qubit. Only with enough logical qubits does a quantum computer become dangerous to Bitcoin.

Quantum computers and Bitcoin: what exactly could be attacked

Bitcoin uses two kinds of cryptography. A quantum computer affects them very differently.

1. The signatures (ECDSA and Schnorr). Every Bitcoin address belongs to a key pair. The public key is easy to calculate from the private key, but not the other way round. That is why only you can spend your coins. With Shor's algorithm, the way back would suddenly be possible. Anyone who knows your public key could then sign with your coins.

2. The hash function SHA-256. It is used in mining and in many addresses. Against hash functions, only a weaker quantum trick helps, Grover's algorithm. Roughly speaking, it halves the security from 256 to 128 bits. That is still considered secure.

Why Grover doesn't topple mining

For a search among N possibilities, Grover needs about √N steps instead of N. For SHA-256 that means 2^128 instead of 2^256 attempts to reverse a given hash. 2^128 is about 3.4 × 10^38 steps, out of reach even for a fast computer.

Mining adds another point: on Nov 13, 2026, according to mempool.space, the network tried more than 900 EH/s, that is more than 9 × 10^20 hashes per second, with specialised chips. A quantum computer is many orders of magnitude slower per step, and Grover can hardly be split across many devices. Even with the square-root advantage, a quantum miner would be no match for the network's mining chips for the foreseeable future.

So the danger lies in the signatures. How mining works and why it protects the network is explained in the overview Bitcoin mining explained.

Which bitcoin are at risk?

What matters is whether your public key is already visible. With most address types, the blockchain at first only holds a hash, a kind of fingerprint of the key. The key itself only becomes visible when you spend from the address.

Where your coins areKey visible?Amount (Glassnode, Nov 10, 2026)
early coins (P2PK, 2009–2010)yes, always1.71 million BTC
address that has already been spent fromyes25.8% of all BTC
Taproot ("bc1p…")yes, in the address222’000 BTC
"1…", "3…", "bc1q…", never spent fromno, only a hashthe rest
payment waiting for confirmationyes, for a few minutesevery payment

In total, Glassnode counted 7.12 million BTC with a visible public key, 35.4% of all bitcoin (as of Nov 10, 2026). Other counts range from 4 to 7 million, depending on how they treat reused addresses.

A large share of this sits with exchanges, which often use the same addresses for years. Glassnode counted 11.6% of all bitcoin on exchange addresses with a visible key. If you leave coins on an exchange, you carry this risk too, on top of the risk of an exchange collapse.

The short moment when you send

Even a fresh address reveals its public key as soon as you send from it. Your payment then waits a few minutes for confirmation in the next block. A very fast quantum computer could calculate the private key in that time and slip in its own payment with a higher fee.

Researchers from Google Quantum AI, Stanford and the Ethereum Foundation worked this through in March 2026. Their result: a future fast quantum computer would need about 9 minutes per key on average. Under assumptions ideal for the attacker, it would succeed with just under 41% of payments before confirmation. Only an upgrade to new signatures closes this gap.

How far are quantum computers today?

This is the heart of the question of how big the threat is. Two numbers matter: how many qubits an attack needs, and how many exist today.

Estimate (2026)Physical qubitsTime per key
Google Quantum AI et al., March 2026, superconducting qubitsunder 500’000a few minutes
Alice & Bob, October 2026, "cat qubits"about 30’000about 62 minutes
IonQ, September 2026, ion trapsabout 20’000just under 26 days

All three estimates arrive at about 1’200 to 1’500 logical qubits. They differ mainly in how many physical qubits one logical qubit needs and how fast the technology computes. Important: these numbers have fallen sharply in recent years. A widely cited estimate from 2022 still came to about 13 million physical qubits for an attack within one day.

And today? The best devices have about 100 very accurate physical qubits, such as Quantinuum's Helios with 98 qubits. Larger devices with more than 1’000 qubits exist, but they are much more error-prone. With error correction, at most a few dozen logical qubits have run so far, and only in short test calculations. To reach about 1’200 logical qubits that compute without error for hours, a factor of about 100 or more is still missing.

Why the public key is enough

Bitcoin computes on the elliptic curve secp256k1. The public key P is derived from the private key k like this: P = k × G. G is a fixed starting point everyone knows, and k is a random 256-bit number.

For an ordinary computer, the way back from P to k is unsolvable: the best methods would need about 2^128 steps. Shor's algorithm solves the same problem in a number of steps that grows only slowly with the key length. According to Google's 2026 estimate, that is fewer than 90 million logical Toffoli gates on fewer than 1’200 logical qubits.

An address of the type "bc1q…" doesn't contain P, only a hash of it: RIPEMD-160(SHA-256(P)). Even Shor cannot calculate P back from the hash. That is why an unused address is protected until you spend from it.

Nobody knows when this will happen. The US standards agency NIST still plans with a clear window: from 2030 it advises against methods such as ECDSA, and from 2035 they are no longer approved. For Bitcoin this means there is time, but not unlimited time.

What Bitcoin can do against quantum computers

Bitcoin can't be rebuilt overnight. New signatures need an upgrade that users and nodes agree to, and after that every holder has to move their coins to new addresses. Since 2026, there have been two concrete drafts for this.

BIP-360 (Pay-to-Merkle-Root, P2MR): a new address type that works like Taproot but doesn't show a public key in the address. It protects coins at rest, but not the short moment when you send. It has been in the Bitcoin proposals repository as a draft since February 2026; it has not been activated.

BIP-361 (Post Quantum Migration and Legacy Signature Sunset): a three-phase plan by Jameson Lopp and others. About three years after activation, payments to vulnerable addresses would no longer be possible. Five years later, old signatures would become invalid, and coins on vulnerable addresses would then be frozen. A possible rescue route using zero-knowledge proofs is still open. The proposal is controversial, and it requires quantum-safe signatures that have not yet been chosen for Bitcoin.

The hardest question: what happens to coins nobody moves, such as Satoshi's? Leave them, and an attacker could steal and sell them. Freeze them, and Bitcoin interferes with someone else's property for the first time. Nothing has been decided.

The sats calculator works out how many satoshis an amount in euros or francs is.

What you can do today

Nothing is urgent today. But with a few habits you can lower your risk right now.

  1. Don't reuse addresses. Get a new address for every payment you receive. Modern wallets do this automatically, including for change. That way your balance almost always sits on addresses whose key nobody knows.
  2. Hold your coins yourself. Exchanges often use addresses for years. In your own wallet, you decide when to move. How to start is shown in Setting up your first wallet.
  3. Don't hand out your xpub. Your wallet's "xpub" reveals all your public keys at once. Only give it to your own software or your own Bitcoin node, not to outside services.
  4. Don't use Taproot for large long-term holdings. With "bc1p…" addresses, the key is in the address itself. For saving over years, a "bc1q…" address you never spend from is, as things stand, the more cautious choice.
  5. Keep your wallet and firmware up to date. When a quantum-safe address type arrives, wallets and hardware wallets will bring it via an update. Follow the manufacturers' instructions and then move calmly.
  6. Check your backups. To move, you need your seed phrase and, for multisig wallets, all the components. How to store everything safely is shown in the guide Storing bitcoin safely.

How big is the threat to Bitcoin really?

Low in the short term, serious in the long term. Today there is no quantum computer that could calculate even a single Bitcoin key. But the devices needed have shrunk sharply in the estimates of recent years, and large companies are building specifically toward them.

The hash function, mining and the fixed supply remain secure, and signatures can be replaced, as Bitcoin already showed once with Taproot in 2021. The challenge is time and agreement: choosing a method, activating it and getting millions of holders to move before the computers are ready.

For your long-term planning, this means quantum computers belong to the events no model predicts. The Bitcoin Power Law, too, only describes the trend so far, as the methodology openly says. If you hold your coins yourself, don't reuse addresses and follow updates, you are well prepared. The order of the basics of safe custody is shown in the Academy under "Understand & secure". More articles on mining, nodes and technology are collected in the category Mining & Technology.

Frequently asked questions

Can quantum computers crack Bitcoin?

Not today. But a future large quantum computer could calculate the private key from a visible public key and spend the coins behind it. Estimates from 2026 consider about 1’200 to 1’500 error-corrected logical qubits necessary for this. The best devices today have at most a few dozen of them, and only in short test calculations.

When will quantum computers become dangerous to Bitcoin?

Nobody knows for sure. Some researchers consider the 2030s possible; others expect it much later or never. The US standards agency NIST advises against today's signature methods from 2030 and no longer approves them from 2035. For Bitcoin, what matters is switching in good time beforehand.

Are my bitcoin on a hardware wallet safe from quantum computers?

A hardware wallet protects your private key from hackers, not from mathematics. What matters is the address: if your coins sit on addresses you have never spent from, their public key is unknown. Taproot addresses and reused addresses, by contrast, are vulnerable.

Is Bitcoin mining at risk from quantum computers?

No, not to any significant degree. Against SHA-256, only Grover's algorithm helps, which roughly halves the security to 128 bits. Today's mining chips compute many orders of magnitude faster than any quantum computer. The fixed supply of 21 million bitcoin is unaffected.

What happens to Satoshi Nakamoto's bitcoin?

About 1.1 million BTC are attributed to Satoshi. They sit on old addresses with a visible public key and would be the first to be vulnerable. Whether Bitcoin freezes such coins before an attack or leaves them is being debated among developers, for example in the draft BIP-361. Nothing has been decided.

Should I sell bitcoin because of quantum computers?

That is your decision. The threat concerns vulnerable addresses, not Bitcoin as a whole, and Bitcoin can replace its signatures through an upgrade. If you hold your coins yourself and don't reuse addresses, you can move them in good time.

Sources

Not financial, legal or tax advice. Models are no guarantee.

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