198 citations · 210 across the 23 of their papers we have counts for
8 papers · 1 filter
Approximate cloning of structured pure states
Yaroslav Herasymenko, Junqiao Lin, Philip Verduyn Lunel +1
The no-cloning theorem is a cornerstone result in quantum mechanics that forbids copying of general quantum information. More quantitatively, even given copies of an unknown st…
Quantum Fourier transform toolbox
Carli Bruinsma, Pietro M. Posta, Joppe Stokvis +2
Quantum Fourier transforms (QFTs) are essential primitives in quantum algorithms. While abelian groups admit efficient QFT circuits, with circuit size polynomial in the logarithm o…
Quantum Fourier transform for the symmetric group
Carli Bruinsma, Dmitry Grinko, Maris Ozols
Quantum Fourier transforms (QFT) for general groups were recognized to be fundamental already early in the field. A canonical example of non-abelian QFT for the symmetric group was…
Optimal cloning of mixed states
Marco Fanizza, Dmitry Grinko, Thilo Scharnhorst +1
We consider the problem of approximate cloning of quantum states: given copies of an unknown state , prepare an -copy state with high fidel…
Sample complexity of quantum resource testing via one-shot quantum blurring
Dmitry Grinko, Ludovico Lami
Quantum resource testing is a fundamental primitive of quantum information processing, profoundly connected to resource manipulation. Its goal is to discriminate copies of a gi…
Classical shadows with arbitrary group representations
Maxwell West, Frederic Sauvage, Aniruddha Sen +6
Classical shadows (CS) has recently emerged as an important framework to efficiently predict properties of an unknown quantum state. A common strategy in CS protocols is to paramet…
Double Recurrence and Almost Sure Convergence: Primes and Weighted Theory
Jan Fornal, Ben Krause
Let be a probability space equipped with an invertible, measure-preserving transformation . We exhibit a wide class of weights so that whenever $f,g \i…
Stronger Welch Bounds and Optimal Approximate -Designs
Riccardo Castellano, Dmitry Grinko, Sadra Boreiri +2
The question of how well a finite ensemble of quantum states can approximate Haar randomness is relevant in many areas of quantum physics. Here we consider this problem from a geom…