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Cheat sensitive quantum bit commitment (CSQBC) loosens the security requirement of quantum bit commitment (QBC), so that the existing impossibility proofs of unconditionally secure QBC can be evaded. But here we analyze the common features…

Quantum Physics · Physics 2015-06-09 Guang Ping He

We use the entanglement sampling techniques developed by Dupuis, Fawzi and Wehner to find a lower bound on the entanglement needed by a coalition of cheater attacking the quantum position verification protocol using the four BB84 states in…

Quantum Physics · Physics 2015-06-10 Jérémy Ribeiro , Frédéric Grosshans

It is shown that with the use of entanglement a specific two party communication task can be done with a systematically smaller expected error than any possible classical protocol could do. The example utilises the very tight correlation…

Quantum Physics · Physics 2007-05-23 Lucien Hardy , Wim van Dam

A quantum board game is a multi-round protocol between a single quantum player against the quantum board. Molina and Watrous discovered quantum hedging. They gave an example for perfect quantum hedging: a board game with winning probability…

Quantum Physics · Physics 2017-06-19 Maor Ganz , Or Sattath

Let $q \in (0,1)$ and $\delta \in (0,1)$ be real numbers, and let $C$ be a coin that comes up heads with an unknown probability $p$, such that $p \neq q$. We present an algorithm that, on input $C$, $q$, and $\delta$, decides, with…

Data Structures and Algorithms · Computer Science 2020-11-12 Luís Fernando Schultz Xavier da Silveira , Michiel Smid

Quantum error correction codes are usually designed to correct errors regardless of their physical origins. In large-scale devices, this is an essential feature. In smaller-scale devices, however, the main error sources are often…

Quantum Physics · Physics 2020-06-05 David Layden , Louisa Ruixue Huang , Paola Cappellaro

We investigate the error tolerance of quantum cryptographic protocols using $d$-level systems. In particular, we focus on prepare-and-measure schemes that use two mutually unbiased bases and a key-distillation procedure with two-way…

Quantum Physics · Physics 2007-05-23 Georgios M. Nikolopoulos , Kedar S. Ranade , Gernot Alber

We show that a biased quantum coin flip (QCF) cannot provide the performance of a black-boxed biased coin flip, if it satisfies some fidelity conditions. Although such a QCF satisfies the security conditions of a biased coin flip, it does…

Quantum Physics · Physics 2008-02-20 Satoshi Ishizaka

We study quantum protocols among two distrustful parties. By adopting a rather strict definition of correctness - guaranteeing that honest players obtain their correct outcomes only - we can show that every strictly correct quantum protocol…

Quantum Physics · Physics 2015-01-08 Louis Salvail , Christian Schaffner , Miroslava Sotakova

The cryptographic task of secure multi-party (classical) computation has received a lot of attention in the last decades. Even in the extreme case where a computation is performed between $k$ mutually distrustful players, and security is…

Quantum Physics · Physics 2020-06-17 Yfke Dulek , Alex B. Grilo , Stacey Jeffery , Christian Majenz , Christian Schaffner

We give a cheat sensitive protocol for blind universal quantum computation that is efficient in terms of computational and communication resources: it allows one party to perform an arbitrary computation on a second party's quantum computer…

Quantum Physics · Physics 2013-12-16 Vittorio Giovannetti , Lorenzo Maccone , Tomoyuki Morimae , Terry G. Rudolph

It is generally believed that unconditionally secure quantum bit commitment is impossible, due to widespread acceptance of an impossibility proof that utilizes quantum entaglement cheating. In this paper, we delineate how the impossibiliy…

Quantum Physics · Physics 2007-05-23 Horace P. Yuen

The intrinsic non-locality of correlations in Quantum Mechanics allow us to certify the behaviour of a quantum mechanism in a device independent way. In particular, we present a new protocol that allows an unbounded amount of randomness to…

Quantum Physics · Physics 2018-08-01 Brian Coyle , Matty J. Hoban , Elham Kashefi

This paper proposes and proves security of a QKD protocol which uses two-universal hashing instead of random sampling to estimate the number of bit flip and phase flip errors. This protocol dramatically outperforms previous QKD protocols…

Quantum Physics · Physics 2023-01-18 Dimiter Ostrev

The security of quantum key distribution protocols is guaranteed by the laws of quantum mechanics. However, a precise analysis of the security properties requires tools from both classical cryptography and information theory. Here, we…

Quantum Physics · Physics 2017-10-11 Marco Tomamichel , Jesus Martinez-Mateo , Christoph Pacher , David Elkouss

Unconditionally secure bit commitment and coin flipping are known to be impossible in the classical world. Bit commitment is known to be impossible also in the quantum world. We introduce a related new primitive - {\em quantum bit escrow}.…

Quantum Physics · Physics 2007-05-23 Dorit Aharonov , Amnon Ta-Shma , Umesh Vazirani , Andrew Yao

We consider the cryptographic task of bit-string generation. This is a generalisation of coin tossing in which two mistrustful parties wish to generate a string of random bits such that an honest party can be sure that the other cannot have…

Quantum Physics · Physics 2009-11-10 Jonathan Barrett , Serge Massar

Quantum bit commitment has long been known to be impossible. Nevertheless, just as in the classical case, imposing certain constraints on the power of the parties may enable the construction of asymptotically secure protocols. Here, we…

Quantum Physics · Physics 2012-09-04 A. Mandilara , N. J. Cerf

This thesis includes a survey of the results known for private and approximate private quantum channels. We develop the best known upper bound for $\epsilon$-randomizing maps, $n+2\log(1/\epsilon)+c$ bits required to $\epsilon$-randomize an…

Quantum Physics · Physics 2007-05-23 Paul Dickinson

We propose a new Quantum Key Recycling (QKR) protocol, which can tolerate the noise in the quantum channel. Our QKR protocol recycles the used keys according to the error rate. The key recycling rate of the pre-shared keys in our QKR…

Quantum Physics · Physics 2020-06-15 Yu-Chin Lu , Chia-Wei Tsai , Tzonelih Hwang
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