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Articles by Adam Burchardt
Orthonormal bases of extreme quantumness
Extremal states, coherent and anticoherent, have practical applications in quantum metrology as optimal rotosensors. This work provides a natural extension of previous studies concerning the search for such states proposing optimal orthogonal measurements of Lüders and von Neumann of the extreme spin coherence. We introduce the measure $\mathcal{B}_t$ as the tool to characterize the quantumness of a measurement given by a basis in $\mathcal{H}_N$.
General stabilizer approach for constructing highly entangled graph states
Abstract Highly entangled multipartite states such as k-uniform (k-UNI) and absolutely maximally entangled (AME) states serve as critical resources in quantum networking and other quantum information applications. However, there does not yet exist a complete classification of such states, and much remains unknown about their entanglement structure.
Physical Review Letters
HIGHLIGHTED ARTICLES Featured in Physics Editors' Suggestion Defect-Free Arbitrary-Geometry Assembly of Mixed-Species Atom Arrays Cheng Sheng, Jiayi Hou, Xiaodong He, Kunpeng Wang, Ruijun Guo, Jun Zhuang, Bahtiyar Mamat, Peng Xu, Min Liu, Jin Wang, and Mingsheng Zhan Phys. Rev. Lett.
Thirty-six Entangled Officers of Euler: Quantum Solution to a Classically Impossible Problem
Abstract The negative solution to the famous problem of 36 officers of Euler implies that there are no two orthogonal Latin squares of order six. We show that the problem has a solution, provided the officers are entangled, and construct orthogonal quantum Latin squares of this size.
Thirty-six entangled officers of Euler: Quantum solution to a classically impossible problem
Abstract The negative solution to the famous problem of 36 officers of Euler implies that there are no two orthogonal Latin squares of order six. We show that the problem has a solution, provided the officers are entangled, and construct orthogonal quantum Latin squares of this size.
Thirty-six entangled officers of Euler: Quantum solution to a classically impossible problem
[Submitted on 11 Apr 2021 (v1), last revised 6 Aug 2021 (this version, v2)] Authors:Suhail Ahmad Rather, Adam Burchardt, Wojciech Bruzda, Grzegorz Rajchel-Mieldzioć, Arul Lakshminarayan, Karol Życzkowski Download PDF Abstract: The negative solution to the famous problem of $36$ officers of Euler implies that there are no two orthogonal Latin squares of order six.
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