Concluding Remarks, Additional Applications and Prospects for Future Work

Haixing Miao

Daniel J. Egger, Claudio Gambella, Jakub Marecek +6 more

This article outlines our point of view regarding the applicability, state-of-the-art, and potential of quantum computing for problems in finance. We provide an introduction to quantum computing as well as a survey on problem classes in finance that are computationally challenging classically and for which quantum computing algorithms are promising. In the main part, we describe in detail quantum algorithms for specific applications arising in financial services, such as those involving simulation, optimization, and machine learning problems. In addition, we include demonstrations of quantum algorithms on IBM Quantum back-ends and discuss the potential benefits of quantum algorithms for problems in financial services. We conclude with a summary of technical challenges and future prospects.

Nurul T. Islam

Francesco Ceccarelli, Giulia Acconcia, Angelo Gulinatti +3 more

Abstract Photonic quantum technologies promise a revolution of the world of information processing, from simulation and computing to communication and sensing, thanks to the many advantages of exploiting single photons as quantum information carriers. In this scenario, single‐photon detectors play a key role. On the one hand, superconducting nanowire single‐photon detectors (SNSPDs) are able to provide remarkable performance on a broad spectral range, but their applicability is often limited by the need of cryogenic operating temperatures. On the other hand, single‐photon avalanche diodes (SPADs) overcome the intrinsic limitations of SNSPDs by providing a valid alternative at room temperature or slightly below. In this paper, the authors review the fundamental principles of the SPAD operation and provide a thorough discussion of the recent progress made in this field, comparing the performance of these devices with the requirements of the quantum photonics applications. In the end, the authors conclude with their vision of the future by summarizing prospects and unbeaten paths that can open new perspectives in the field of photonic quantum information processing.

Saleem Mohammed Ridha Taha

Philipp Strasberg

Abstract The final chapter concludes the book by briefly discussing various topics we haven’t touched upon (e.g. simulating non-Markovian open quantum systems, quantum advantages in thermodynamics, resource theories) and lists some prospects for exciting future research avenues (e.g. practical applications in thermoelectrics and beyond, finding accurate reduced system descriptions, finite-bath effects).