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20102021
most citedEnergy-constrained discrimination of unitaries, quantum speed limits and a Gaussian Solovay-Kitaev theorem

37 citations

Showing quant-phShow all

8 papers · 1 filter

quant-ph2021★ 8 cited

Optimal convergence rate in the quantum Zeno effect for open quantum systems in infinite dimensions

Tim Möbus, Cambyse Rouzé

In open quantum systems, the quantum Zeno effect consists in frequent applications of a given quantum operation, e.g.~a measurement, used to restrict the time evolution (due e.g.~t…

quant-ph2021★ 25 cited

Quantum concentration inequalities

Giacomo De Palma, Cambyse Rouzé

We establish transportation cost inequalities (TCI) with respect to the quantum Wasserstein distance by introducing quantum extensions of well-known classical methods: first, using…

quant-ph2021★ 11 cited

Natural Gradient Optimization for Optical Quantum Circuits

Yuan Yao, Pierre Cussenot, Richard A. Wolf +1

Optical quantum circuits can be optimized using gradient descent methods, as the gates in a circuit can be parametrized by continuous parameters. However, the parameter space as se…

quant-ph2020★ 23 cited

The modified logarithmic Sobolev inequality for quantum spin systems: classical and commuting nearest neighbour interactions

Ángela Capel, Cambyse Rouzé, Daniel Stilck França

Given a uniform, frustration-free family of local Lindbladians defined on a quantum lattice spin system in any spatial dimension, we prove a strong exponential convergence in relat…

quant-ph2020★ 37 cited

Energy-constrained discrimination of unitaries, quantum speed limits and a Gaussian Solovay-Kitaev theorem

Simon Becker, Nilanjana Datta, Ludovico Lami +1

We investigate the energy-constrained (EC) diamond norm distance between unitary channels acting on possibly infinite-dimensional quantum systems, and establish a number of results…

quant-ph2019★ 23 cited

Convergence rates for the quantum central limit theorem

Simon Becker, Nilanjana Datta, Ludovico Lami +1

Various quantum analogues of the central limit theorem, which is one of the cornerstones of probability theory, are known in the literature. One such analogue, due to Cushen and Hu…

quant-ph2019★ 17 cited

Stability of logarithmic Sobolev inequalities under a noncommutative change of measure

Marius Junge, Nicholas LaRacuente, Cambyse Rouzé

We generalize Holley-Stroock's perturbation argument from commutative to quantum Markov semigroups. As a consequence, results on (complete) modified logarithmic Sobolev inequalitie…

quant-ph2010★ 11 cited

Ground state blind quantum computation on AKLT state

Tomoyuki Morimae, Vedran Dunjko, Elham Kashefi

The blind quantum computing protocols (BQC) enable a classical client with limited quantum technology to delegate a computation to the quantum server(s) in such a way that the priv…