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Questions tagged [quantum-computing]

A computation model which relies on quantum-mechanic phenomena, such as entanglement and superposition. This generalizes the probabilistic model of computation.

3 votes
0 answers
85 views

A highly space-efficient embedding of prime factorization problem using the Ising model

I hope this is not off-topic for this SE, as it directly relates to the RSA problem. My background is in quantum information and computation, so please excuse me if my notation doesn't match your ...
Amirhossein Rezaei's user avatar
3 votes
2 answers
576 views

Why is discrete logarithm not quantum proof?

I don't understand why discrete logarithm is not quantum proof. I understand that quantum computer can quickly compute the exponent, but there is a modulo in the equation. Doesn't it mean, that there ...
pepa z depa's user avatar
4 votes
0 answers
77 views

Comparing quantum computing resources to break the DLP on elliptic curve group vs Schnorr group

Take an elliptic curve group of 256-bit prime order $n$ over a 256-bit prime field in which the Discrete Logarithm Problem is believed hard, e.g. secp256r1. Build an isomorphic Schnorr group by taking ...
fgrieu's user avatar
  • 143k
11 votes
4 answers
8k views

How will the world learn that Q-Day has arrived?

I wonder how the world will come to know that scalable, fully fault-tolerant quantum computers capable of running Shor's algorithm have arrived. The day when this happens has been referred to as "...
Mark S's user avatar
  • 289
0 votes
2 answers
607 views

Are there any full alternatives to RSA that are quantum-resistant

By full alternatives I mean things that can do everything RSA can, namely establish secure security without privately sharing information prior. Something which AES can't do. In other words, I'm ...
blademan9999's user avatar
2 votes
1 answer
267 views

Does triple ChaCha20 have 256-bit post-quantum security?

Experts suggested 3DES when AES wasn't developed yet, since meet-in-the-middle attack, they suggested triple DES. Grover's algorithm, a quantum algorithm, weakens symmetric encryptions, how about ...
Flan1335's user avatar
  • 361
6 votes
3 answers
9k views

Can Quantum Computers crack RSA and AES?

Im trying to learn more about cryptography and ran into a post, Is AES-128 quantum safe?, which asks if AES-128 is safe. From the articles and replies it seems that AES-128 (symmetric key) is safe ...
cryptoman534345's user avatar
1 vote
0 answers
54 views

Is Proof-of-Authority (PoA) protocol a post quantum consensus?

Is PoA persistent against quantum attacks? If not, How can we make it post quantum? I mean the PoA used with blockchains that delivers comparatively fast transactions through a consensus mechanism ...
Alireza's user avatar
  • 109
0 votes
1 answer
157 views

Do multiple keys mitigate Grover algorithm?

Grover, a quantum algorithm, weakens AES and ChaCha20. Is it possible to use multiple symmetric keys to encrypt a message multiple times to achieve 256-bit security for quantum computers?
Flan1335's user avatar
  • 361
4 votes
1 answer
139 views

Difficulty of Shor's algorithm in a Schnorr group as a function of the modulus

Consider a Schnorr group with order a prime $q$ sized for security against current computers (like $q$ of 256 bit); modulus a prime $p=q\,r+1$ large enough (e.g. 3072 to 32768-bit) that the algorithms ...
fgrieu's user avatar
  • 143k
0 votes
1 answer
189 views

Solve discrete logarithm with new chinese research

Does this research also work for breaking bitcoin ECDSA? If so, how many qubit will be needed for 256-bit elliptic curve key?
user avatar
6 votes
1 answer
1k views

How many qubits can break NIST P-521 ECC?

NIST P-521 has the longest key size for standardised ECC, which has 521 bits instead of 512. If a quantum computer is available, how many qubits can break P-521?
Flan1335's user avatar
  • 361
1 vote
1 answer
372 views

Quantum computer threats to modern cryptography

I am having a university assignment that requires me to study on the threats that quantum computer poses to modern cryptography. At the moment, I know that modern symmetric encryption will reduce ...
Hern's user avatar
  • 159
2 votes
1 answer
153 views

How easy is it to know how many preimages an image might have, given that there's at least one (preimage, image) pair?

I have been considering an approach to incentivize cryptocurrency miners to verify claims of quantum computational supremacy. Briefly, miners find collisions $f(x_1)=f(x_2)=y$ of some known $f:m+1\...
Mark S's user avatar
  • 289
16 votes
2 answers
4k views

New paper claims quantum polylog time attack on AES

It is well known that Grover's algorithm can solve AES in $O(\sqrt{n})$ time, which is why symmetric key length needs to be double to maintain their security level in the face of a quantum adversary. ...
lamba's user avatar
  • 1,365

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