413 citations · 1.3k across the 36 of their papers we have counts for
5 papers · 2 filters
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…
Hidden shift problem for complex functions
Serge Adonsou, Peter Bruin, Maris Ozols +1
We study quantum algorithms for the hidden shift problem of complex scalar- and vector-valued functions on finite abelian groups. Given oracle access to a shifted function and the…
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…
Trotter error and gate complexity of the SYK and sparse SYK models
Yiyuan Chen, Jonas Helsen, Maris Ozols
The Sachdev--Ye--Kitaev (SYK) model is a prominent model of strongly interacting fermions that serves as a toy model of quantum gravity and black hole physics. In this work, we stu…