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In the classical setting, public-key encryption requires randomness in order to be secure against a forward search attack, whereby an adversary compares the encryption of a guess of the secret message with that of the actual secret message.…

Quantum Physics · Physics 2009-05-05 Georgios M. Nikolopoulos , Lawrence M. Ioannou

Large-scale quantum computing is a significant threat to classical public-key cryptography. In strong "quantum access" security models, numerous symmetric-key cryptosystems are also vulnerable. We consider classical encryption in a model…

Quantum Physics · Physics 2021-05-14 Gorjan Alagic , Stacey Jeffery , Maris Ozols , Alexander Poremba

In modern cryptography, block encryption is a fundamental cryptographic primitive. However, it is impossible for block encryption to achieve the same security as one-time pad. Quantum mechanics has changed the modern cryptography, and lots…

Cryptography and Security · Computer Science 2018-12-17 Min Liang , Li Yang

In this work we study the quantum security of public key encryption schemes (PKE). Boneh and Zhandry (CRYPTO'13) initiated this research area for PKE and symmetric key encryption (SKE), albeit restricted to a classical indistinguishability…

Cryptography and Security · Computer Science 2021-06-15 Tommaso Gagliardoni , Juliane Krämer , Patrick Struck

Recent oracle separations [Kretschmer, TQC'21, Kretschmer et. al., STOC'23] have raised the tantalizing possibility of building quantum cryptography from sources of hardness that persist even if the polynomial hierarchy collapses. We…

Quantum Physics · Physics 2024-10-11 Dakshita Khurana , Kabir Tomer

By analogy to classical cryptography, we develop a "quantum public key" based cryptographic scheme in which the two public and private keys consist in each of two entangled beams of squeezed light. An analog message is encrypted by…

Quantum Physics · Physics 2007-05-23 Patrick Navez , Alessandra Gatti , Luigi A. Lugiato

Cryptographic hash functions are fundamental primitives widely used in practice. For such a function $f:\{0, 1\}^n\to\{0, 1\}^m$, it is nearly impossible for an adversary to produce the hash $f(x)$ without knowing the secret message…

Quantum Physics · Physics 2017-02-08 Cupjin Huang , Yaoyun Shi

Quantum fire is a distribution of quantum states that can be efficiently cloned, but cannot be efficiently converted into a classical string. First considered by Nehoran and Zhandry (ITCS'24) and later formalized by Bostanci, Nehoran,…

Quantum Physics · Physics 2026-03-17 Alper Çakan , Vipul Goyal , Omri Shmueli

As the quantum computing era approaches, securing classical cryptographic protocols becomes imperative. Public key cryptography is widely used for signature and key exchange but it is the type of cryptography more threatened by quantum…

Cryptography and Security · Computer Science 2026-01-19 Grazia D'Onghia , Diana Gratiela Berbecaru , Antonio Lioy

In the classical world, the existence of commitments is equivalent to the existence of one-way functions. In the quantum setting, on the other hand, commitments are not known to imply one-way functions, but all known constructions of…

Quantum Physics · Physics 2022-11-16 Tomoyuki Morimae , Takashi Yamakawa

We present a classification of quantum public-key encryption protocols. There are six elements in quantum public-key encryption: plaintext, ciphertext, public-key, private-key, encryption algorithm and decryption algorithm. According to the…

Quantum Physics · Physics 2016-01-20 Chenmiao Wu , Li Yang

Secure key leasing (a.k.a. key-revocable cryptography) enables us to lease a cryptographic key as a quantum state in such a way that the key can be later revoked in a verifiable manner. We propose a simple framework for constructing…

Quantum Physics · Physics 2025-05-30 Fuyuki Kitagawa , Tomoyuki Morimae , Takashi Yamakawa

Post-quantum cryptography currently rests on a small number of hardness assumptions, posing significant risks should any one of them be compromised. This vulnerability motivates the search for new and cryptographically versatile assumptions…

Quantum Physics · Physics 2026-03-20 Jonathan Z. Lu , Alexander Poremba , Yihui Quek , Akshar Ramkumar

It is well known that Shor's quantum algorithm for integer factorization can break down the RSA public-key cryptosystem, which is widely used in many cryptographic applications. Thus, public-key cryptosystems in the quantum computational…

Quantum Physics · Physics 2007-05-23 Takeshi Koshiba

Cryptography with quantum states exhibits a number of surprising and counterintuitive features. In a 2002 work, Barnum et al. argue that these features imply that digital signatures for quantum states are impossible (Barnum et al., FOCS…

Quantum Physics · Physics 2021-12-22 Gorjan Alagic , Tommaso Gagliardoni , Christian Majenz

Secure key leasing allows a cryptographic key to be leased as a quantum state in such a way that the key can later be revoked in a verifiable manner. In this work, we propose a modular framework for constructing secure key leasing with a…

Quantum Physics · Physics 2025-10-10 Fuyuki Kitagawa , Jiahui Liu , Shota Yamada , Takashi Yamakawa

We introduce the notion of public key encryption with secure key leasing (PKE-SKL). Our notion supports the leasing of decryption keys so that a leased key achieves the decryption functionality but comes with the guarantee that if the…

Quantum Physics · Physics 2023-04-07 Shweta Agrawal , Fuyuki Kitagawa , Ryo Nishimaki , Shota Yamada , Takashi Yamakawa

The meteoric rise in power and popularity of machine learning models dependent on valuable training data has reignited a basic tension between the power of running a program locally and the risk of exposing details of that program to the…

Quantum Physics · Physics 2025-01-03 Sam Gunn , Ramis Movassagh

Quantum key distribution (QKD) allows Alice and Bob to agree on a shared secret key, while communicating over a public (untrusted) quantum channel. Compared to classical key exchange, it has two main advantages: (i) The key is…

Quantum Physics · Physics 2024-01-03 Giulio Malavolta , Michael Walter

The recent discovery of fully-homomorphic classical encryption schemes has had a dramatic effect on the direction of modern cryptography. Such schemes, however, implicitly rely on the assumptions that solving certain computation problems…

Quantum Physics · Physics 2018-10-31 Yingkai Ouyang , Si-Hui Tan , Joseph Fitzsimons