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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.

6 questions with no upvoted or accepted answers
17 votes
0 answers
426 views

Fewest qubits required for the discrete logarithm problem and integer factorization

According to a paper from 2002, the most efficient circuit to factor an $n$-bit integer requires $2n+3$ qubits and $O(n^{3}\lg(n))$ elementary quantum gates, assuming ideal qubits. Later on, according ...
forest's user avatar
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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
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4 votes
0 answers
142 views

Are Memory-Hard Functions de-facto quantum resistant?

Searches have returned absolutely no results on this question. With that in mind, I assume the answer is either painfully obvious ('of course quantum computers get no advantage when it comes to ...
user7778287's user avatar
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
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
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0 votes
0 answers
100 views

Using two or more encryption algorithms together, how do we compute the strength of the final encryption?

If two or more encryption algorithms are used together, how do we compute the strength of the final encryption? And how would the application perform against quantum computers? The first two tables ...
AED ER's user avatar
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