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We generalize the problem of coin flipping to more than two outcomes and parties. We term this problem dice rolling, and study both its weak and strong variants. We prove by construction that in quantum settings (i) weak N-sided dice…

量子物理 · 物理学 2015-05-14 N. Aharon , J. Silman

Methods of quantum mechanics promise information-theoretic security for various protocols in cryptography. However, impossibility of some cryptographic applications such as standard bit commitment, oblivious transfer, multiparty secure…

量子物理 · 物理学 2015-08-03 Muhammad Nadeem

Public-key quantum money is a cryptographic proposal for using highly entangled quantum states as currency that is publicly verifiable yet resistant to counterfeiting due to the laws of physics. Despite significant interest, constructing…

量子物理 · 物理学 2023-01-24 Prabhanjan Ananth , Zihan Hu , Henry Yuen

Unconditionally secure non-relativistic bit commitment is known to be impossible in both the classical and the quantum worlds. But when committing to a string of n bits at once, how far can we stretch the quantum limits? In this paper, we…

量子物理 · 物理学 2008-08-18 Harry Buhrman , Matthias Christandl , Patrick Hayden , Hoi-Kwong Lo , Stephanie Wehner

We focus on a family of quantum coin-flipping protocols based on bit-commitment. We discuss how the semidefinite programming formulations of cheating strategies can be reduced to optimizing a linear combination of fidelity functions over a…

量子物理 · 物理学 2018-03-22 Ashwin Nayak , Jamie Sikora , Levent Tunçel

For more than a decade, it was believed that unconditionally secure quantum bit commitment (QBC) is impossible. But basing on a previously proposed quantum key distribution scheme using orthogonal states, here we build a QBC protocol in…

量子物理 · 物理学 2015-03-18 Guang Ping He

The impossibility proof of unconditionally secure quantum bit commitment is crucially dependent on the assertion that Bob is not allowed to generate probability distributions unknown to Alice. This assertion is actually not meaningful,…

量子物理 · 物理学 2009-11-13 Chi-Yee Cheung

It had been widely claimed that quantum mechanics can protect private information during public decision in for example the so-called two-party secure computation. If this were the case, quantum smart-cards could prevent fake teller…

量子物理 · 物理学 2009-10-30 Hoi-Kwong Lo

Mochon's proof [Moc07] of existence of quantum weak coin flipping with arbitrarily small bias is a fundamental result in quantum cryptography, but at the same time one of the least understood. Though used several times as a black box in…

量子物理 · 物理学 2014-03-03 Dorit Aharonov , André Chailloux , Maor Ganz , Iordanis Kerenidis , Loïck Magnin

We devised a protocol that allows two parties, who may malfunction or intentionally convey incorrect information in communication through a quantum channel, to verify each other's measurements and agree on each other's results. This has…

量子物理 · 物理学 2023-09-07 Kazuki Ikeda , Adam Lowe

Mayers, Lo and Chau argued that all quantum bit commitment protocols are insecure, because there is no way to prevent an Einstein-Podolsky-Rosen (EPR) cheating attack. However, Yuen presented some protocols which challenged the previous…

量子物理 · 物理学 2007-05-23 Giacomo Mauro D'Ariano

A coin is just a two sided dice. Recently, Mochon proved that quantum weak coin flipping with an arbitrarily small bias is possible. However, the use of quantum resources to allow N remote distrustful parties to roll an N-sided dice has yet…

量子物理 · 物理学 2009-08-20 N. Aharon , J. Silman

We define cheat sensitive cryptographic protocols between mistrustful parties as protocols which guarantee that, if either cheats, the other has some nonzero probability of detecting the cheating. We give an example of an unconditionally…

量子物理 · 物理学 2009-10-31 Lucien Hardy , Adrian Kent

Protocols for tossing a common coin play a key role in the vast majority of implementations of consensus. Even though the common coins in the literature are usually \emph{fair} (they have equal chance of landing heads or tails), we focus on…

分布式、并行与集群计算 · 计算机科学 2023-12-27 Ivan Geffner , Joseph Y. Halpern

Unconditionally secure two-party bit commitment based solely on the principles of quantum mechanics (without exploiting special relativistic signalling constraints, or principles of general relativity or thermodynamics) has been shown to be…

量子物理 · 物理学 2022-10-12 Jeffrey Bub

We define cryptographic assumptions applicable to two mistrustful parties who each control two or more separate secure sites between which special relativity guarantees a time lapse in communication. We show that, under these assumptions,…

量子物理 · 物理学 2009-10-31 Adrian Kent

The no-cloning property of quantum mechanics allows unforgeability of quantum banknotes and credit cards. Quantum credit card protocols involve a bank, a client and a payment terminal, and their practical implementation typically relies on…

量子物理 · 物理学 2019-02-28 Mathieu Bozzio , Eleni Diamanti , Frédéric Grosshans

Weak coin flipping (WCF) is a fundamental cryptographic primitive for two-party secure computation, where two distrustful parties need to remotely establish a shared random bit whilst having opposite preferred outcomes. It is the strongest…

量子物理 · 物理学 2023-01-03 Atul Singh Arora , Jérémie Roland , Chrysoula Vlachou

Verifiable blind quantum computing allows a client with poor quantum devices to delegate universal quantum computing to a remote quantum server in such a way that the client's privacy is protected and the honesty of the server is verified.…

量子物理 · 物理学 2017-11-15 Yuki Takeuchi , Keisuke Fujii , Tomoyuki Morimae , Nobuyuki Imoto

The Quantum Computer Condition (QCC) provides a rigorous and completely general framework for carrying out analyses of questions pertaining to fault-tolerance in quantum computers. In this paper we apply the QCC to the problem of…

量子物理 · 物理学 2007-05-23 Gerald Gilbert , Michael Hamrick , F. Javier Thayer , Yaakov S. Weinstein