198 citations · 210 across the 23 of their papers we have counts for
7 papers · 1 filter
Detection of many-body entanglement partitions in a quantum computer
Albert Rico, Dmitry Grinko, Robin Krebs +1
We present a method to detect entanglement partitions of multipartite quantum systems, by exploiting their inherent symmetries. Structures like genuinely multipartite entanglement,…
Sequential quantum processes with group symmetries
Dmitry Grinko, Satoshi Yoshida, Mio Murao +1
Symmetry plays a crucial role in the design and analysis of quantum protocols. This result shows a canonical circuit decomposition of a -invariant quantum comb for com…
High-dimensional quantum Schur transforms
Adam Burchardt, Jiani Fei, Dmitry Grinko +4
The quantum Schur transform has become a foundational quantum algorithm, yet even after two decades since the seminal 2005 paper by Bacon, Chuang, and Harrow (BCH), some aspects of…
Nearly optimal algorithms to learn sparse quantum Hamiltonians in physically motivated distances
Amira Abbas, Nunzia Cerrato, Francisco Escudero Gutiérrez +3
We study the problem of learning Hamiltonians that are -sparse in the Pauli basis, given access to their time evolution. Although Hamiltonian learning has been extensively i…
Quantum Simulation of Random Unitaries from Clebsch-Gordan Transforms
Dmitry Grinko, Satoshi Yoshida
We construct exact compressed oracles for Haar-random group actions associated with an arbitrary finite-dimensional unitary representation of a compact group. The construction is a…
Entanglement recycling in two-step port-based teleportation
Piotr Kopszak, Dmitry Grinko, Adam Burchardt +3
A protocol involving the repetitive (twofold, to be precise) application of PBT protocol to the same resource is studied. The quantities characterizing the resulting protocol, so-c…
Group-Adapted Irreducible Matrix Units for the Walled Brauer Algebra
Michał Studziński, Tomasz Młynik, Marek Mozrzymas +2
This paper investigates the representation theory of the algebra of partially transposed permutation operators, , which provides a matrix representation for th…