Computational advantage of quantum random sampling

D Hangleiter, J Eisert - Reviews of Modern Physics, 2023 - APS
Quantum random sampling is the leading proposal for demonstrating a computational
advantage of quantum computers over classical computers. Recently the first large-scale …

NMR techniques for quantum control and computation

LMK Vandersypen, IL Chuang - Reviews of modern physics, 2004 - APS
Fifty years of developments in nuclear magnetic resonance (NMR) have resulted in an
unrivaled degree of control of the dynamics of coupled two-level quantum systems. This …

Experimental realization of Shor's quantum factoring algorithm using nuclear magnetic resonance

LMK Vandersypen, M Steffen, G Breyta, CS Yannoni… - Nature, 2001 - nature.com
The number of steps any classical computer requires in order to find the prime factors of an l-
digit integer N increases exponentially with l, at least using algorithms known at present …

The role of relative entropy in quantum information theory

V Vedral - Reviews of Modern Physics, 2002 - APS
Quantum mechanics and information theory are among the most important scientific
discoveries of the last century. Although these two areas initially developed separately, it …

Stable distributions, pseudorandom generators, embeddings, and data stream computation

P Indyk - Journal of the ACM (JACM), 2006 - dl.acm.org
In this article, we show several results obtained by combining the use of stable distributions
with pseudorandom generators for bounded space. In particular:---We show that, for any …

[BOOK][B] Quantum computing: from linear algebra to physical realizations

M Nakahara, T Ohmi - 2008 - taylorfrancis.com
Covering both theory and progressive experiments, Quantum Computing: From Linear
Algebra to Physical Realizations explains how and why superposition and entanglement …

[BOOK][B] Elements of quantum computation and quantum communication

A Pathak - 2013 - api.taylorfrancis.com
This introductory textbook is written primarily for undergraduate students of physics,
mathematics, computer science and other related disciplines. It is also expected to be …

Quantum computing with NMR

JA Jones - Progress in nuclear magnetic resonance spectroscopy, 2011 - Elsevier
Quantum computers [1–4] are explicitly quantum mechanical systems that use phenomena
such as superposition and entanglement to perform computational tasks more efficiently …

Experimental realization of quantum games on a quantum computer

J Du, H Li, X Xu, M Shi, J Wu, X Zhou, R Han - Physical Review Letters, 2002 - APS
We generalize the quantum prisoner's dilemma to the case where the players share a
nonmaximally entangled states. We show that the game exhibits an intriguing structure as a …

Benchmarking quantum computers: the five-qubit error correcting code

E Knill, R Laflamme, R Martinez, C Negrevergne - Physical Review Letters, 2001 - APS
The smallest quantum code that can correct all one-qubit errors is based on five qubits. We
experimentally implemented the encoding, decoding, and error-correction quantum …