Below you will find a list of seminars organised by ICTQT.
(click on Abstract to expand the text)
Speaker: Ingo Roth (Quantum research centre, Technology Innovation Institute, Abu Dhabi, UAE)
Abstract
Randomized benchmarking protocols have become the prominent tool for assessing the quality of gates on digital quantum computing platforms. In `classical’ variants of randomized benchmarking multi-qubit gates are drawn uniformly from a finite group. The functioning of such schemes can be rigorous guaranteed under realistic assumptions. In contrast, experimentally attractive and practically more scalable randomized benchmarking schemes often directly perform random circuits or use other non-uniform probability measures. An important example for such a non-uniform protocol is linear cross-entropy benchmarking. The theoretical understanding of non-uniform randomized benchmarking is still an ongoing effort. We present a new extension of general theoretical guarantees for randomized benchmarking to non-uniform measures. Combined with results on random walks, our results identify experimental parameter regimes where one can guarantee non-uniform randomized benchmarking protocols to work reliably. On the technical side, we develop a general perturbative description of noise in random circuits in terms of harmonic analysis that can also be used to analyze the noise-robustness of random circuit protocols beyond RB.Speaker: Paweł Horodecki (Gdansk)
Programme
15.30 – 15:55 Andrzej Jamiołkowski “My memories of Roman Stanisław Ingarden”.
16:00 – 16:55 2022 Ingarden Memorial Lecture
Peter Shor: “The development of quantum error correcting codes”
17:00 – 17:15 coffee break
17:15-17:45 Awarding of Junior KCIK Award for best Bachelor Thesis in quantum Information, talk of the winner
17:45-18:15 Distinguished talk
18:18 The End
Speaker: Andrew Nemec (Duke University)
Abstract
Hybrid codes simultaneously encode both quantum and classical information together, giving an advantage over coding schemes where the quantum and classical information are transmitted separately. We construct the first known families of hybrid codes that are guaranteed to provide an advantage over quantum codes, as well as also giving a construction of hybrid codes from subsystem codes that allow for different minimum distances for the encoded quantum and classical information . We also show how hybrid codes can be applied to the problem of faulty syndrome measurements and lead to the construction of new quantum data-syndrome codes.Speaker: Andrew Nemec (Duke University, USA)
Abstract
Hybrid codes simultaneously encode both quantum and classical information together, giving an advantage over coding schemes where the quantum and classical information are transmitted separately. We construct the first known families of hybrid codes that are guaranteed to provide an advantage over quantum codes, as well as also giving a construction of hybrid codes from subsystem codes that allow for different minimum distances for the encoded quantum and classical information . We also show how hybrid codes can be applied to the problem of faulty syndrome measurements and lead to the construction of new quantum data-syndrome codes.Speaker: Seungbeom Chin (ICTQT / Sungkyunkwan University)
Abstract
We propose a graph method to systematically search for schemes that obtains genuine entanglement in arbitrary N-partite linear quantum networks (LQNs). While the indistinguishability of quantum particles is widely used as a resource for the generation of entanglement, it is challenging to devise a suitable LQN that carries a specific entangled state. Our research presents a mapping process of arbitrary LQNs to graphs, which provides an organized strategy for designing LQNs to generate multipartite entanglement with and without postselection. This talk is based on Quantum 5 (2021), 611 and arXiv:2211.04042.Speaker: Máté Farkas (ICFO, Barcelona)
Abstract
Mutually unbiased bases (MUBs) correspond to measurements in quantum theory that are complementary: if a measurement in a basis yields a definite outcome on a given quantum state, then a measurement in a basis unbiased to the first one yields a uniformly random outcome on the same state. Simple examples of MUBs are photon polarisation measurements in the horizontal and vertical directions, or spin measurements in the z and x directions of a spin-1/2 particle. Their complementary property makes MUBs highly useful in various quantum information processing tasks, such as quantum state tomography, communication tasks, Bell inequalities, and quantum cryptography.In this talk—after an introduction to MUBs and their use in quantum information—I will introduce a generalisation of MUBs termed mutually unbiased measurements (MUMs). MUMs retain the complementary property of MUBs in a “device-independent” manner: in order to define MUMs, one does not need to refer to the Hilbert space dimension (the number of degrees of freedom, which is not an observable property), only to the outcome number of the measurements (an operational property). I will discuss the mathematical characterisation and constructions of MUMs, and the fundamental similarities and differences between MUBs and MUMs. Then, I will introduce a family of Bell inequalities tailored to MUMs, and show how to use these inequalities for device-independent quantum cryptography, as well as how to use these Bell inequalities to tackle a long-standing open problem on the number of MUBs in a given Hilbert space dimension.