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20012022
most citedQuantum Search by Local Adiabatic Evolution

634 citations · 1.8k across the 34 of their papers we have counts for

collaborators

35 papers

quant-ph2022

Self-Testing of a Single Quantum System: Theory and Experiment

Xiao-Min Hu, Yi Xie, Atul Singh Arora +13

Certifying individual quantum devices with minimal assumptions is crucial for the development of quantum technologies. Here, we investigate how to leverage single-system contextual…

quant-ph2021★ 67 cited

Quadratic speedup for spatial search by continuous-time quantum walk

Simon Apers, Shantanav Chakraborty, Leonardo Novo +1

Continuous-time quantum walks provide a natural framework to tackle the fundamental problem of finding a node among a set of marked nodes in a graph, known as spatial search. Wheth…

quant-ph2020★ 44 cited

On the optimality of spatial search by continuous-time quantum walk

Shantanav Chakraborty, Leonardo Novo, Jérémie Roland

One of the most important algorithmic applications of quantum walks is to solve spatial search problems. A widely used quantum algorithm for this problem, introduced by Childs and…

quant-ph2020★ 26 cited

How fast do quantum walks mix?

Shantanav Chakraborty, Kyle Luh, Jérémie Roland

The fundamental problem of sampling from the limiting distribution of quantum walks on networks, known as \emph{mixing}, finds widespread applications in several areas of quantum i…

quant-ph2019★ 1 cited

Analytic quantum weak coin flipping protocols with arbitrarily small bias

Atul Singh Arora, Jérémie Roland, Chrysoula Vlachou

Weak coin flipping (WCF) is a fundamental cryptographic primitive for two-party secure computation, where two distrustful parties need to remotely establish a shared random bit whi…

quant-ph2019★ 19 cited

Analog quantum algorithms for the mixing of Markov chains

Shantanav Chakraborty, Kyle Luh, Jérémie Roland

The problem of sampling from the stationary distribution of a Markov chain finds widespread applications in a variety of fields. The time required for a Markov chain to converge to…