14 papers
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…
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…
Quantum Programmable Reflections
Eddie Schoute, Dmitry Grinko, Yigit Subasi +1
Similar to a classical processor, which is an algorithm for reading a program and executing its instructions on input data, a universal programmable quantum processor is a fixed qu…
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…
Permutation tests for quantum state identity
Harry Buhrman, Dmitry Grinko, Philip Verduyn Lunel +1
The quantum analogue of the equality function, known as the quantum state identity problem, is the task of deciding whether unknown quantum states are equal or unequal, given t…
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…