activity
20172025
most citedOn Operator Valued Measures

9 citations · 10 across the 9 of their papers we have counts for

collaborators

9 papers

quant-ph2025

Benchmarking Quantum Instruments

Darian McLaren, Matthew A. Graydon, Ali Assem Mahmoud +1

Quantum measurements with feed-forward are crucial components of fault-tolerant quantum computers. We show how the error rate of such a measurement can be directly estimated by fit…

math.CO2023

Weakly Hadamard diagonalizable graphs and Quantum State Transfer

Darian McLaren, Hermie Monterde, Sarah Plosker

Hadamard diagonalizable graphs are undirected graphs for which the corresponding Laplacian is diagonalizable by a Hadamard matrix. Such graphs have been studied in the context of q…

quant-ph2023

Stochastic errors in quantum instruments

Darian McLaren, Matthew A. Graydon, Joel J. Wallman

Fault-tolerant quantum computation requires non-destructive quantum measurements with classical feed-forward. Many experimental groups are actively working towards implementing suc…

quant-ph2023★ 1 cited

Preserving a qubit during adjacent measurements at a few micrometers distance

Sainath Motlakunta, Nikhil Kotibhaskar, Chung-You Shih +6

Protecting a quantum object against irreversible accidental measurements from its surroundings is necessary for controlled quantum operations. This becomes especially challenging o…

math.LO2022

Centralizer clones relative to a strong limit cardinal

Rory B. B. Lucyshyn-Wright, Darian McLaren

The notion of commutation of operations in universal algebra leads to the concept of centralizer clone and gives rise to a well-known class of problems that we call centralizer pro…

math.CO2020

The Complete Positivity of Symmetric Tridiagonal and Pentadiagonal Matrices

Lei Cao, Darian McLaren, Sarah Plosker

We provide a decomposition that is sufficient in showing when a symmetric tridiagonal matrix is completely positive. Our decomposition can be applied to a wide range of matrice…

math.CO2019

Centrosymmetric Stochastic Matrices

Lei Cao, Darian McLaren, Sarah Plosker

We consider the convex set of stochastic matrices and the convex set of centrosymmetric stochastic matrices (stochastic…

math.FA2018★ 9 cited

On Operator Valued Measures

Darian McLaren, Sarah Plosker, Christopher Ramsey

We consider positive operator valued measures whose image is the bounded operators acting on an infinite-dimensional Hilbert space, and we relax, when possible, the usual assumptio…

quant-ph2017

Perfect quantum state transfer in weighted paths with potentials (loops) using orthogonal polynomials

Steve Kirkland, Darian McLaren, Rajesh Pereira +2

A simple method for transmitting quantum states within a quantum computer is via a quantum spin chain---that is, a path on vertices. Unweighted paths are of limited use, and so…