Quantum preparation games


Weilenmann, M. (2021). Quantum preparation games. Perimeter Institute. https://pirsa.org/21030027


Weilenmann, Mirjam. Quantum preparation games. Perimeter Institute, Mar. 10, 2021, https://pirsa.org/21030027


          @misc{ pirsa_PIRSA:21030027,
            doi = {10.48660/21030027},
            url = {https://pirsa.org/21030027},
            author = {Weilenmann, Mirjam},
            keywords = {Quantum Information},
            language = {en},
            title = {Quantum preparation games},
            publisher = {Perimeter Institute},
            year = {2021},
            month = {mar},
            note = {PIRSA:21030027 see, \url{https://pirsa.org}}

Mirjam Weilenmann Institute for Quantum Optics and Quantum Information (IQOQI) - Vienna

Talk number PIRSA:21030027


To analyze the performance of adaptive measurement protocols for the detection and quantification of state resources, we introduce the framework of quantum preparation games. A preparation game is a task whereby a player sequentially sends a number of quantum states to a referee, who probes each of them and announces the measurement result. The measurement setting at each round, as well as the final score of the game, are decided by the referee based on the past history of settings and measurement outcomes. We show how to compute the maximum average score that a player can achieve under very general constraints on their preparation devices and provide practical methods to carry out optimizations over n-round preparation games. We apply our general results to devise new adaptive protocols for entanglement detection and quantification. Given a set of experimentally available local measurement settings, we provide an algorithm to derive, via convex optimization, optimal n-shot protocols for entanglement detection using these settings. We also present families of adaptive protocols for multiple-target entanglement detection with arbitrarily many rounds. Surprisingly, we find that there exist instances of entanglement detection problems with just one target entangled state where the optimal adaptive protocol supersedes all non-adaptive alternatives.