Mio Murao - A Higher-Order Quantum Algorithm for Learning Singular-Value Moments of Quantum Channels

A Higher-Order Quantum Algorithm for Learning Singular-Value Moments of Quantum Channels

This seminar, given by Mio Murao, will happend on 25 February 2026, at 13:0. It will take place in Room 25-26/105.

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Abstract

Efficiently learning properties of quantum objects is a widely anticipated application of quantum computers. We develop quantum learning algorithms, based on higher-order quantum computation, that take an unknown quantum channel as input. In this framework, a quantum computer acquires quantum data through black-box queries and computes target properties coherently, without reconstructing a full classical description of the channel. We present a new fully quantum algorithm for estimating the singular-value moments of an unknown quantum channel by introducing a block-encoding scheme for its Liouville representation accessed via a black box. This algorithm can be viewed as implementing a measurement device powered by quantum computation. Reference : R. Niwa, Z. M. Rossi, P. Taranto and M. Murao, arXiv 2506.24112