**Summary**

Classical game theory – conducted at the interface between economics and computer science – has found applications in topics ranging from networking and security to online markets. Despite over 20 years of research into connections between game theory and quantum information, we have yet to see any significant implications of quantum information when applied to game theory. This project brings a reformulation of quantum game theory as a mathematical theory of strategic interactions involving quantum information among rational decision-making agents. We focus on computational complexity aspects as a means to redevelop quantum game theory and tackle four challenge areas that include non-interactive games, interactive games, correlated (and entangled) equilibria, and cooperative quantum strategies. This reformulation of quantum game theory holds promise for enabling new mathematical techniques in quantum information science (e.g., communication protocols) and new applications of quantum devices. Finally, as we consider the fundamental aspects of quantum games, we are bound to discover interesting new mathematical structures that may find uses in other areas of quantum information science.

## Related Content

## Hybrid Quantum Materials towards Topological Quantum Computing

Summary Proximity engineered hybrid materials have shown promise for topological quantum information processing. This form of quantum computing provides a stable, error-tolerant approach for building scalable quantum information processors. Topological quantum computing relies on braiding non-Abelian particles, such as Majorana fermions, which do not exist in nature. One can however use materials engineering to […]

December 8, 2018

## Harnessing the Promise of Quantum Materials for Future Electronic Devices

Summary Two-dimensional (2D) quantum materials, such as graphene and molybdenum disulfide, have great potential for use in future flexible and wearable electronics applications. With traditional silicon-based electronics nearing their theoretical performance limits, nano-electronics made from 2D quantum materials offer breakthrough opportunities for energy-efficient, wearable ubiquitous computation. In this project, we will study integration of […]

June 14, 2018

## Novel Infrared Camera Based on Quantum Sensors for Biomedical Applications

Summary In this project we develop a novel infrared camera with low noise and high detection efficiency for biomedical applications of optical coherence tomography (OCT) using quantum materials. OCT is a technique used to image the back of the eye and allow for the diagnosis of detrimental eye conditions, for e.g., macular degeneration, diabetic retinopathy […]

March 13, 2019

## Quantum Sensing with Small Quantum Systems

Summary There are small quantum systems over which we have very good control and which have long lifetimes. Examples include the phosphorous (P) defect in silicon (Si) and the nitrogen vacancy (NV) defect in diamond. With P defect in Si, we focus on improving our understanding of the hyperpolarization mechanism to better enable engineering of […]

December 1, 2016