Characterization of Quantum Betting Tasks in Terms of Arimoto Mutual Information

Ducuara, Andrés F.; Skrzypczyk, Paul

doi:10.1103/prxquantum.3.020366

Cited by 4 publications

(1 citation statement)

References 73 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…We also wonder if there is another task for which the generalized robustness or the weight of resource has an operational meaning without considering decomposition into convex sets. A further generalization of our results to quantum betting tasks [102], which interpolate between discrimination and exclusion tasks, could also be performed. Moreover, we are also interested in extending our analysis to QRTs of sets of states, which were previously considered in the context of coherence [103].…”

Section: Discussionmentioning

confidence: 84%

Robustness- and weight-based resource measures without convexity restriction: Multicopy witness and operational advantage in static and dynamical quantum resource theories

Kuroiwa,

Takagi,

Adesso

et al. 2024

Phys. Rev. A

View full text Add to dashboard Cite

Section: Discussionmentioning

confidence: 84%

Robustness- and weight-based resource measures without convexity restriction: Multicopy witness and operational advantage in static and dynamical quantum resource theories

Kuroiwa,

Takagi,

Adesso

et al. 2024

Phys. Rev. A

View full text Add to dashboard Cite

Operational interpretation of the Choi rank through exclusion tasks

Stratton,

Hsieh,

Skrzypczyk

2024

Phys. Rev. A

View full text Add to dashboard Cite

The Choi state is an indispensable tool in the study and analysis of quantum channels. Considering a channel in terms of its associated Choi state can greatly simplify problems. It also offers an alternative approach to the characterization of a channel, with properties of the Choi state providing novel insight into a channel's behavior. The rank of a Choi state, termed the Choi rank, has proven to be an important characterizing property, and here, its significance is further elucidated through an operational interpretation. The Choi rank is shown to provide a universal bound on how successfully two agents, Alice and Bob, can perform an entanglement-assisted exclusion task. The task can be considered an extension of superdense coding, where Bob can only output information about Alice's encoded bit string with certainty. Conclusive state exclusion, in place of state discrimination, is therefore considered at the culmination of the superdense coding protocol. In order to prove this result, a necessary condition for conclusive k-state exclusion of a set of states is presented in order to achieve this result, and the notions of weak and strong exclusion are introduced. Published by the American Physical Society 2024

show abstract

Maxwell’s Demon Walks into Wall Street: Stochastic Thermodynamics Meets Expected Utility Theory

Ducuara,

Skrzypczyk,

Buscemi

et al. 2023

Phys. Rev. Lett.

View full text Add to dashboard Cite

Characterization of Quantum Betting Tasks in Terms of Arimoto Mutual Information

Cited by 4 publications

References 73 publications

Robustness- and weight-based resource measures without convexity restriction: Multicopy witness and operational advantage in static and dynamical quantum resource theories

Robustness- and weight-based resource measures without convexity restriction: Multicopy witness and operational advantage in static and dynamical quantum resource theories

Operational interpretation of the Choi rank through exclusion tasks

Maxwell’s Demon Walks into Wall Street: Stochastic Thermodynamics Meets Expected Utility Theory

Contact Info

Product

Resources

About