Results 1 to 10 of about 3,560 (25)

Coined quantum walks on the line: Disorder, entanglement, and localization [PDF]

Phys. Rev. E 108, 024139 (2023), 2023
Disorder in coined quantum walks generally leads to localization. We investigate the influence of the localization on the entanglement properties of coined quantum walks. Specifically, we consider quantum walks on the line and explore the effects of quenched disorder in the coin operations.
arxiv   +1 more source

Æquitas: Two-Player Counterfeit Coin Games [PDF]

arXiv, 2022
We discuss games involving a counterfeit coin. Given one counterfeit coin among a number of otherwise identical coins, two players with full knowledge of the fake coin take turns weighing coins on a two-pan scale, under the condition that on every turn they reveal some information to an Observer with limited prior knowledge about the coins.
arxiv  

Quantum Walks with Entangled Coins [PDF]

New Journal of Physics 7 (2005) 221, 2004
We present a mathematical formalism for the description of unrestricted quantum walks with entangled coins and one walker. The numerical behaviour of such walks is examined when using a Bell state as the initial coin state, two different coin operators, two different shift operators, and one walker.
arxiv   +1 more source

Controlling quantum random walk with a step-dependent coin [PDF]

New J. Phys. 20, 083028 (2018), 2018
We report on the possibility of controlling quantum random walks with a step-dependent coin. The coin is characterized by a (single) rotation angle. Considering different rotation angles, one can find diverse probability distributions for this walk including: complete localization, Gaussian and asymmetric likes.
arxiv   +1 more source

High robustness quantum walk search algorithm with qudit Householder traversing coin, machine learning study [PDF]

arXiv, 2021
In this work the quantum random walk search algorithm with walk coin constructed by generalized Householder reflection and phase multiplier has been studied. The coin register is one qudit with arbitrary dimension. Monte Carlo simulations, in combination with supervised machine learning, are used to find walk coins making the quantum algorithm more ...
arxiv  

Artificial Intelligence Generated Coins for Size Comparison [PDF]

Mitteilungen der \"Osterreichischen Numismatischen Gesellschaft, vol. 62, no. 2, pp. 9-16, 2022, 2023
Authors of scientific articles use coins in photographs as a size reference for objects. For this purpose, coins are placed next to objects when taking the photo. In this letter we propose a novel method that uses artificial intelligence (AI) generated images of coins to provide a size reference in photos.
arxiv  

Entanglement in coined quantum walks on regular graphs [PDF]

New J. Phys. 7 (2005) 156, 2005
Quantum walks, both discrete (coined) and continuous time, form the basis of several recent quantum algorithms. Here we use numerical simulations to study the properties of discrete, coined quantum walks. We investigate the variation in the entanglement between the coin and the position of the particle by calculating the entropy of the reduced density ...
arxiv   +1 more source

Chameleon Coins [PDF]

arXiv, 2015
We discuss coin-weighing problems with a new type of coin: a chameleon. A chameleon coin can mimic a fake or a real coin, and it can choose which coin to mimic for each weighing independently. We consider a mix of $N$ coins that include exactly two non-real coins: one fake and one chameleon. The task is to use a balance to find two coins one of which
arxiv  

Coins that Change Their Weights [PDF]

arXiv, 2016
As in many coin puzzles, we have several identical-looking coins, with one of them fake and the rest real. The real coins weigh the same. Our fake coin is special in that it can change its weight. The coin can pretend to be a real coin, a fake coin that is lighter than a real one, and a fake coin that is heavier than a real one.
arxiv