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We use the venerable "fooling set" method to prove new lower bounds on the quantum communication complexity of various functions. Let f:X x Y-->{0,1} be a Boolean function, fool^1(f) its maximal fooling set size among 1-inputs, Q_1^*(f) its…

量子物理 · 物理学 2012-09-26 Hartmut Klauck , Ronald de Wolf

The cryptographic protocol of coin tossing consists of two parties, Alice and Bob, that do not trust each other, but want to generate a random bit. If the parties use a classical communication channel and have unlimited computational…

量子物理 · 物理学 2009-11-13 A. T. Nguyen , J. Frison , K. Phan Huy , S. Massar

In recent years, new algorithms and cryptographic protocols based on the laws of quantum physics have been designed to outperform classical communication and computation. We show that the quantum world also opens up new perspectives in the…

量子物理 · 物理学 2010-07-06 S. Perseguers , M. Lewenstein , A. Acín , J. I. Cirac

In quantum computing the decoherence time of the qubits determines the computation time available and this time is very limited when using current hardware. In this paper we minimize the execution time (the depth) for a class of circuits…

We derive a new entropic quantum uncertainty relation involving min-entropy. The relation is tight and can be applied in various quantum-cryptographic settings. Protocols for quantum 1-out-of-2 Oblivious Transfer and quantum Bit Commitment…

量子物理 · 物理学 2007-08-19 Ivan B. Damgaard , Serge Fehr , Renato Renner , Louis Salvail , Christian Schaffner

At Crypto 2011, some of us had proposed a family of cryptographic protocols for key establishment capable of protecting quantum and classical legitimate parties unconditionally against a quantum eavesdropper in the query complexity model.…

Most current research on quantum cryptography requires transmission and reception of single photons that creates severe implementation challenges and limits range. This paper argues for the development of threshold quantum cryptography…

量子物理 · 物理学 2013-10-24 Subhash Kak

Protocols for quantum position verification (QPV) which combine classical and quantum information are insecure in the presence of loss. We study the exact loss-tolerance of the most popular protocol for QPV, which is based on BB84 states,…

量子物理 · 物理学 2025-07-10 Llorenç Escolà-Farràs , Florian Speelman

In a seminal paper, Meyer [David Meyer, Phys. Rev. Lett. 82, 1052 (1999)] described the advantages of quantum game theory by looking at the classical penny flip game. A player using a quantum strategy can win against a classical player…

量子物理 · 物理学 2015-10-29 Namit Anand , Colin Benjamin

Motivated by the recent experimental demonstrations of quantum supremacy, proving the hardness of the output of random quantum circuits is an imperative near term goal. We prove under the complexity theoretical assumption of the…

量子物理 · 物理学 2021-12-13 Yasuhiro Kondo , Ryuhei Mori , Ramis Movassagh

The discrete-time quantum walk (QW) is determined by a unitary matrix whose component is complex number. Konno (2015) extended the QW to a walk whose component is quaternion.We call this model quaternionic quantum walk (QQW). The…

量子物理 · 物理学 2019-01-30 Kei Saito

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}.…

量子物理 · 物理学 2007-05-23 Dorit Aharonov , Amnon Ta-Shma , Umesh Vazirani , Andrew Yao

We propose an application for near-term quantum devices: namely, generating cryptographically certified random bits, to use (for example) in proof-of-stake cryptocurrencies. Our protocol repurposes the existing "quantum supremacy"…

量子物理 · 物理学 2023-03-06 Scott Aaronson , Shih-Han Hung

For a discrete two-state quantum walk (QW) on the half-line with a general condition at the boundary, we formulate and prove a weak limit theorem describing the terminal behavior of its transition probabilities. In this context,…

量子物理 · 物理学 2015-10-05 Chaobin Liu , Nelson Petulante

We study quantum walk on a ladder with combination of conventional and split-step protocols. The two components of the walk resulting from periodic boundary conditions can be made to have three kinds of probability distributions. Two of…

量子物理 · 物理学 2020-12-29 Hira Ali , M. Naeem Shahid

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

We demonstrate the possibility of controlling the success probability of a secret sharing protocol using a quantum cloning circuit. The cloning circuit is used to clone the qubits containing the encoded information and {\em en route} to the…

量子物理 · 物理学 2018-08-17 Satyabrata Adhikari , Sovik Roy , Shantanav Chakraborty , V. Jagadish , M. K. Haris , Atul Kumar

Alice seeks an information-theoretically secure source of private random data. Unfortunately, she lacks a personal source and must use remote sources controlled by other parties. Alice wants to simulate a coin flip of specified bias…

计算复杂性 · 计算机科学 2015-03-13 Gene S. Kopp , John D. Wiltshire-Gordon

Blind quantum computation allows a client with limited quantum capabilities to interact with a remote quantum computer to perform an arbitrary quantum computation, while keeping the description of that computation hidden from the remote…

量子物理 · 物理学 2013-12-16 Atul Mantri , Carlos A. Perez-Delgado , Joseph F. Fitzsimons

This thesis initiates the study of cryptographic protocols in the bounded-quantum-storage model. On the practical side, simple protocols for Rabin Oblivious Transfer, 1-2 Oblivious Transfer and Bit Commitment are presented. No quantum…

量子物理 · 物理学 2007-09-04 Christian Schaffner