5 papers
Sample Optimal and Memory Efficient Quantum State Tomography
Yanglin Hu, Enrique Cervero-MartÃn, Elias Theil +2
Quantum state tomography is the fundamental physical task of learning a complete classical description of an unknown state of a quantum system given coherent access to many identic…
Beyond real: Investigating the role of complex numbers in self-testing
Ranyiliu Chen, Laura ManÄinska, Jurij VolÄiÄ
We investigate complex self-testing, a generalization of standard self-testing that accounts for quantum strategies whose statistics is indistinguishable from their complex conjuga…
Classification and implementation of unitary-equivariant and permutation-invariant quantum channels
Laura ManÄinska, Elias Theil
Many quantum information tasks use inputs of the form , which naturally induce permutation and unitary symmetries. We classify all quantum channels that respect bot…
A memory and gate efficient algorithm for unitary mixed Schur sampling
Enrique Cervero-MartÃn, Laura ManÄinska, Elias Theil
We formalize the task of unitary Schur sampling -- an extension of weak Schur sampling -- which is the process of measuring the Young label and the unitary group register of an inp…
Quantum Advantage with Faulty Oracle
David Rasmussen Lolck, Laura ManÄinska, Manaswi Paraashar
This paper investigates the impact of noise in the quantum query model, a fundamental framework for quantum algorithms. We focus on the scenario where the oracle is subject to non-…