activity
20152025
most citedCapacity Estimates via comparison with TRO channels

19 citations · 103 across the 17 of their papers we have counts for

collaborators

18 papers

quant-ph2025

Strong converse rate for asymptotic hypothesis testing in type III

Marius Junge, Nicholas Laracuente

We extend from the hyperfinite setting to general von Neumann algebras Mosonyi and Ogawa's (2015) and Mosonyi and Hiai's (2023) results showing the operational interpretation of sa…

quant-ph2023

Information Fragility or Robustness Under Quantum Channels

Nicholas Laracuente, Graeme Smith

Quantum states naturally decay under noise. Many earlier works have quantified and demonstrated lower bounds on the decay rate, showing exponential decay in a wide variety of conte…

quant-ph2023

Entropy Uncertainty Relations and Strong Sub-additivity of Quantum Channels

Li Gao, Marius Junge, Nicholas LaRacuente

We prove an entropic uncertainty relation for two quantum channels, extending the work of Frank and Lieb for quantum measurements. This is obtained via a generalized strong super-a…

quant-ph2022★ 1 cited

Relative entropy decay and complete positivity mixing time

Li Gao, Marius Junge, Nicholas LaRacuente +1

We prove that the complete modified logarithmic Sobolev constant of a quantum Markov semigroup is bounded by the inverse of its complete positivity mixing time. For classical Marko…

quant-ph2022★ 1 cited

Self-restricting Noise and Exponential Relative Entropy Decay Under Unital Quantum Markov Semigroups

Nicholas LaRacuente

States of open quantum systems often decay continuously under environmental interactions. Quantum Markov semigroups model such processes in dissipative environments. It is known th…

quant-ph2022★ 9 cited

Modeling Short-Range Microwave Networks to Scale Superconducting Quantum Computation

Nicholas LaRacuente, Kaitlin N. Smith, Poolad Imany +2

A core challenge for superconducting quantum computers is to scale up the number of qubits in each processor without increasing noise or cross-talk. Distributed quantum computing a…

quant-ph2021

Quantum Oracle Separations from Complex but Easily Specified States

Nicholas LaRacuente

A foundational question in quantum computational complexity asks how much more useful a quantum state can be in a given task than a comparable, classical string. Aaronson and Kuper…

quant-ph2020★ 9 cited

Multivariate Trace Inequalities, p-Fidelity, and Universal Recovery Beyond Tracial Settings

Marius Junge, Nicholas LaRacuente

Trace inequalities are general techniques with many applications in quantum information theory, often replacing classical functional calculus in noncommutative settings. The physic…

math-ph2020★ 5 cited

Graph Hörmander Systems

Haojian Li, Marius Junge, Nicholas LaRacuente

This paper extends the Bakry-Émery theorem connecting the Ricci curvature and log-Sobolev inequalities to the matrix-valued setting. Using tools from noncommuative geometry, it is…

quant-ph2019★ 9 cited

Quasi-factorization and Multiplicative Comparison of Subalgebra-Relative Entropy

Nicholas LaRacuente

Purely multiplicative comparisons of quantum relative entropy are desirable but challenging to prove. We show such comparisons for relative entropies between comparable densities,…

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…

math.OA2019★ 18 cited

Relative entropy for von Neumann subalgebras

Li Gao, Marius Junge, Nicholas LaRacuente

We revisit the connection between index and relative entropy for an inclusion of finite von Neumann algebras. We observe that the Pimsner-Popa index connects to sandwiched Renyi $p…

quant-ph2019

Group transference techniques for the estimation of the decoherence times and capacities of quantum Markov semigroups

Ivan Bardet, Marius Junge, Nicholas LaRacuente +2

Capacities of quantum channels and decoherence times both quantify the extent to which quantum information can withstand degradation by interactions with its environment. However,…

math.FA2018★ 1 cited

Fisher Information and Logarithmic Sobolev Inequality for Matrix Valued Functions

Li Gao, Marius Junge, Nicolas LaRacuente

We prove a version of Talagrand's concentration inequality for subordinated sub-Laplacian on a compact Riemannian manifold using tools from noncommutative geometry. As an applicati…

quant-ph2017★ 4 cited

Unifying Entanglement with Uncertainty via Symmetries of Observable Algebras

Li Gao, Marius Junge, Nicholas LaRacuente

Strong subadditivity goes beyond the tensored subsystem and commuting operator models. As previously noted by Petz and later by Araki and Moriya, two subalgebras of observables sat…

quant-ph2017★ 4 cited

Heralded Channel Holevo Superadditivity Bounds from Entanglement Monogamy

Li Gao, Marius Junge, Nicholas LaRacuente

We show that for a particular class of quantum channels, which we call heralded channels, monogamy of squashed entanglement limits the superadditivity of Holevo capacity. Heralded…

quant-ph2016★ 19 cited

Capacity Estimates via comparison with TRO channels

Li Gao, Marius Junge, Nicholas LaRacuente

A ternary ring of operators (TRO) in finite dimensions is a diagonal sum of spaces of rectangular matrices. TRO as operator space corresponds to quantum channels that are diagonal…

quant-ph2015★ 6 cited

Capacity Bounds via Operator Space Methods

Li Gao, Marius Junge, Nicholas LaRacuente

Quantum capacity, as the ultimate transmission rate of quantum communication, is characterized by regularized coherent information. In this work, we reformulate approximations of t…