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A Simple Construction of Quantum Public-Key Encryption from Quantum-Secure One-Way Functions
Quantum Physics · Submitted 2 Mar 2023
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim In this work, we show that quantum PKE can be constructed from any quantum-secure one-way function.
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The abstract, sentence by sentence
Quantum public-key encryption [Gottesman; Kawachi et al., Eurocrypt'05] generalizes public-key encryption (PKE) by allowing the public keys to be quantum states. Prior work indicated that quantum PKE can be constructed from assumptions that are potentially weaker than those needed to realize its classical counterpart. In this work, we show that quantum PKE can be constructed from any quantum-secure one-way function. In contrast, classical PKE is believed to require more structured assumptions. Our construction is simple, uses only classical ciphertexts, and satisfies the strong notion of CCA security.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | Quantum public-key encryption [Gottesman; Kawachi et al., Eurocrypt'05] generalizes public-key encryption (PKE) by allowing the public keys to be quantum states. | background 1.00 | 0.05 | 0.02 | asserted 1.00 |
| s1 | Prior work indicated that quantum PKE can be constructed from assumptions that are potentially weaker than those needed to realize its classical counterpart. | background 0.99 | 0.03 | 0.03 | hedged possibility 1.00 |
| s2 | In this work, we show that quantum PKE can be constructed from any quantum-secure one-way function. | contribution 0.73 | 0.96 | 0.96 | asserted 1.00 |
| s3 | In contrast, classical PKE is believed to require more structured assumptions. | interpretation 0.53 | 0.06 | 0.03 | hedged possibility 0.80 |
| s4 | Our construction is simple, uses only classical ciphertexts, and satisfies the strong notion of CCA security. | contribution 0.88 | 0.95 | 0.11 | asserted 1.00 |
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The paper
Original abstract
Quantum public-key encryption [Gottesman; Kawachi et al., Eurocrypt'05] generalizes public-key encryption (PKE) by allowing the public keys to be quantum states. Prior work indicated that quantum PKE can be constructed from assumptions that are potentially weaker than those needed to realize its classical counterpart. In this work, we show that quantum PKE can be constructed from any quantum-secure one-way function. In contrast, classical PKE is believed to require more structured assumptions. Our construction is simple, uses only classical ciphertexts, and satisfies the strong notion of CCA security.
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How the literature uses it
2 arXiv papers cite this in 3 sentences
Papers citing it · 2 sentences without a confident label
Compares with it 1 paper
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The constructions in the two papers [ref] are very similar to each other, and they can be seen as improving upon the main idea of [ref] , which achieved mixed state quantum public keys.
Quantum trapdoor functions from classical one-way functions · Related and concurrent work · 0.98
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