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One-way functions are central to classical cryptography. They are both necessary for the existence of non-trivial classical cryptosystems, and sufficient to realize meaningful primitives including commitments, pseudorandom generators and…

Quantum Physics · Physics 2024-01-30 Dakshita Khurana , Kabir Tomer

After carrying out a protocol for quantum key agreement over a noisy quantum channel, the parties Alice and Bob must process the raw key in order to end up with identical keys about which the adversary has virtually no information. In…

Quantum Physics · Physics 2013-01-22 N. Gisin , S. Wolf

Given a function f as an oracle, the collision problem is to find two distinct inputs i and j such that f(i)=f(j), under the promise that such inputs exist. Since the security of many fundamental cryptographic primitives depends on the…

Quantum Physics · Physics 2011-11-04 Yaoyun Shi

So far, most of existed single-shot quantum coin flipping(QCF) protocols failed in a noisy quantum channel. Here, we present a nested-structured framework that makes it possible to achieve partially noise-tolerant QCF, due to that there is…

Quantum Physics · Physics 2015-08-19 Sheng Zhang , Yuexin Zhang

We consider information theoretic secret key agreement and secure function computation by multiple parties observing correlated data, with access to an interactive public communication channel. Our main result is an upper bound on the…

Information Theory · Computer Science 2015-06-01 Himanshu Tyagi , Shun Watanabe

We consider memoryless quantum communication protocols, where the two parties do not possess any memory besides their classical input and they take turns performing unitary operations on a pure quantum state that they exchange between them.…

Quantum Physics · Physics 2017-03-10 André Chailloux , Iordanis Kerenidis , Mathieu Laurière

In a deterministic quantum key distribution (DQKD) protocol with a two-way quantum channel, Bob sends a qubit to Alice who then encodes a key bit onto the qubit and sends it back to Bob. After measuring the returned qubit, Bob can obtain…

Quantum Physics · Physics 2011-11-02 Hua Lu , Chi-Hang Fred Fung , Xiongfeng Ma , Qing-yu Cai

We investigate the Goldreich-Levin Theorem in the context of quantum information. This result is a reduction from the computational problem of inverting a one-way function to the problem of predicting a particular bit associated with that…

Quantum Physics · Physics 2007-05-23 Mark Adcock , Richard Cleve

Homomorphic encryption has been an area of study in classical computing for decades. The fundamental goal of homomorphic encryption is to enable (untrusted) Oscar to perform a computation for Alice without Oscar knowing the input to the…

Quantum Physics · Physics 2020-09-02 Daniel O'Malley , John K. Golden

Computational security in cryptography has a risk that computational assumptions underlying the security are broken in the future. One solution is to construct information-theoretically-secure protocols, but many cryptographic primitives…

Cryptography and Security · Computer Science 2022-07-29 Taiga Hiroka , Tomoyuki Morimae , Ryo Nishimaki , Takashi Yamakawa

Bit commitment is a fundamental cryptographic task that guarantees a secure commitment between two mutually mistrustful parties and is a building block for many cryptographic primitives, including coin tossing, zero-knowledge proofs,…

Mistrustful cryptography includes important tasks like bit commitment, oblivious transfer, coin flipping, secure computations, position authentication, digital signatures and secure unforgeable tokens. Practical quantum implementations…

Due to the commonly known impossibility results, information theoretic security is considered impossible for oblivious transfer (OT) in both the classical and the quantum world. In this paper, we proposed a weak version of the…

Quantum Physics · Physics 2010-10-06 K. Y. Cheong , Min-Hsiu Hsieh , Takeshi Koshiba

Alice communicates with words drawn uniformly amongst $\{\ket{j}\}_{j=1..n}$, the canonical orthonormal basis. Sometimes however Alice interleaves quantum decoys $\{\frac{\ket{j}+i\ket{k}}{\sqrt{2}}\}$ between her messages. Such pairwise…

Quantum Physics · Physics 2007-05-23 Pablo Arrighi

Performing complex cryptographic tasks will be an essential element in future quantum communication networks. These tasks are based on a handful of fundamental primitives, such as coin flipping, where two distrustful parties wish to agree…

In this paper we present finite-key security analysis for quantum key distribution protocol based on weak coherent (in particular phase-coded) states using a fully quantum asymptotic equipartition property technique. This work is the…

Quantum Physics · Physics 2019-03-12 Anton Kozubov , Andrei Gaidash , George Miroshnichenko

Two QKD protocols with limited classical Bob who performs only limited classical operations (preparing a (fresh) qubit in the classical basis and send it or doing nothing) are presented and are proved completely robust. As limited classical…

Quantum Physics · Physics 2011-10-13 Zhiwei Sun , Ruigang Du , Dongyang Long

Device-independent quantum key distribution is the task of using uncharacterized quantum devices to establish a shared key between two users. If a protocol is secure regardless of the device behaviour, it can be used to generate a shared…

Quantum Physics · Physics 2013-01-01 Jonathan Barrett , Roger Colbeck , Adrian Kent

According to the entropy accumulation theorem, proving the unconditional security of a device-independent quantum key distribution protocol reduces to deriving tradeoff functions, i.e., bounds on the single-round von Neumann entropy of the…

Quantum Physics · Physics 2022-10-28 Michele Masini , Stefano Pironio , Erik Woodhead

We investigate a general class of quantum key distribution (QKD) protocols using one-way classical communication. We show that full security can be proven by considering only collective attacks. We derive computable lower and upper bounds…

Quantum Physics · Physics 2009-11-10 B. Kraus , N. Gisin , R. Renner