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Superdense coding uses entanglement as a resource to communicate classical information securely through quantum channels. A superdense coding method is optimal when its capacity reaches Holevo bound. We show that for optimality, maximal…

Quantum Physics · Physics 2021-11-03 Sagnik Dutta , Asmita Banerjee , Prasanta K. Panigrahi

We present a new protocol and two lower bounds for quantum coin flipping. In our protocol, no dishonest party can achieve one outcome with probability more than 0.75. Then, we show that our protocol is optimal for a certain type of quantum…

Quantum Physics · Physics 2008-05-12 Andris Ambainis

We investigate the possibility of "having someone carry out the work of executing a function for you, but without letting him learn anything about your input". Say Alice wants Bob to compute some known function f upon her input x, but wants…

Quantum Physics · Physics 2007-05-23 Pablo Arrighi , Louis Salvail

Bit commitment schemes are at the basis of modern cryptography. Since information-theoretic security is impossible both in the classical and the quantum regime, we need to look at computationally secure commitment schemes. In this paper, we…

Quantum Physics · Physics 2011-07-26 André Chailloux , Iordanis Kerenidis , Bill Rosgen

Secret sharing of a quantum state, or quantum secret sharing, in which a dealer wants to share certain amount of quantum information with a few players, has wide applications in quantum information. The critical criterion in a threshold…

Quantum Physics · Physics 2016-07-20 He Lu , Zhen Zhang , Luo-Kan Chen , Zheng-Da Li , Chang Liu , Li Li , Nai-Le Liu , Xiongfeng Ma , Yu-Ao Chen , Jian-Wei Pan

The desire to obtain an unconditionally secure bit commitment protocol in quantum cryptography was expressed for the first time thirteen years ago. Bit commitment is sufficient in quantum cryptography to realize a variety of applications…

Quantum Physics · Physics 2007-05-23 Gilles Brassard , Claude Crépeau , Dominic Mayers , Louis Salvail

Entanglement shared between two seperated parties could not be increased without transmitting quantum system. We suggest the project to gain entanglement shared between Alice and Bob by transmitting quantum system and a nem scheme to…

Quantum Physics · Physics 2007-05-23 Yi-Xin Chen , Dong Yang

We investigate the existence of secure bit commitment protocols in the convex framework for probabilistic theories. The framework makes only minimal assumptions, and can be used to formalize quantum theory, classical probability theory, and…

Quantum Physics · Physics 2008-11-06 Howard Barnum , Oscar C. O. Dahlsten , Matthew Leifer , Ben Toner

It is shown that (i) all entangled states can be mapped by single-copy measurements into probability distributions containing secret correlations, and (ii) if a probability distribution obtained from a quantum state contains secret…

Quantum Physics · Physics 2009-11-10 Antonio Acin , Nicolas Gisin

The unconditional security of a quantum key distribution protocol is often defined in terms of the accessible information, that is, the maximum mutual information between the distributed key S and the outcome of an optimal measurement on…

Quantum Physics · Physics 2011-11-09 Robert Koenig , Renato Renner , Andor Bariska , Ueli Maurer

The work by Christandl, K\"onig and Renner [Phys. Rev. Lett. 102, 020504 (2009)] provides in particular the possibility of studying unconditional security in the finite-key regime for all discrete-variable protocols. We spell out this bound…

Quantum Physics · Physics 2011-02-02 Lana Sheridan , Thinh Phuc Le , Valerio Scarani

We introduce a hierarchy of conditions necessarily satisfied by any distribution P(ab) representing the probabilities for two separate observers to obtain outcomes a and b when making local measurements on a shared quantum state. Each…

Quantum Physics · Physics 2008-03-30 Miguel Navascues , Stefano Pironio , Antonio Acin

Quantum cryptography shows that one can guarantee the secrecy of correlation on the sole basis of the laws of physics, that is without limiting the computational power of the eavesdropper. The usual security proofs suppose that the…

Quantum Physics · Physics 2009-11-13 Valerio Scarani , Nicolas Gisin , Nicolas Brunner , Lluis Masanes , Sergi Pino , Antonio Acin

We initially consider a quantum system consisting of two qubits, which can be in one of two nonorthogonal states, \Psi_0 or \Psi_1. We distribute the qubits to two parties, Alice and Bob. They each measure their qubit and then compare their…

Quantum Physics · Physics 2009-11-11 Jihane Mimih , Mark Hillery

We investigate the feasibility of quantum seals. A quantum seal is a state provided by Alice to Bob along with information which Bob can use to make a measurement, "break the seal," and read the classical message stored inside. There are…

Quantum Physics · Physics 2019-11-27 Shelby Kimmel , Shimon Kolkowitz

Mayers, Lo and Chau proved unconditionally secure quantum bit commitment is impossible. It is shown that their proof is valid only for a particular model of quantum bit commitment encoding, in general it does not hold good. A different…

General Physics · Physics 2007-05-23 Arindam Mitra

Alice and Bob wish to communicate without the archvillainess Eve eavesdropping on their conversation. Alice, decides to take two college courses, one in cryptography, the other in quantum mechanics. During the courses, she discovers she can…

Quantum Physics · Physics 2007-05-23 Samuel J. Lomonaco

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…

Quantum Physics · Physics 2022-10-12 Jeffrey Bub

Suppose Alice and Bob jointly possess a pure state, $|\psi\ra$. Using local operations on their respective systems and classical communication it may be possible for Alice and Bob to transform $|\psi\ra$ into another joint state $|\phi\ra$.…

Quantum Physics · Physics 2009-10-31 M. A. Nielsen

So-called non-local boxes, which have been introduced as an idealization-in different respects-of the behavior of entangled quantum states, have been known to allow for unconditional bit commitment between the two involved parties. We show…

Quantum Physics · Physics 2010-12-14 Stefan Wolf , Juerg Wullschleger