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Quantum Blackjack or Can MIT Bring Down the House Again?

Lin, Joseph X. and Formaggio, Joseph A. and Harrow, Aram W. and Natarajan, Anand V. (2019) Quantum Blackjack or Can MIT Bring Down the House Again? . (Unpublished) https://resolver.caltech.edu/CaltechAUTHORS:20200417-132554488

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Abstract

We examine the advantages that quantum strategies afford in communication-limited games. Inspired by the card game blackjack, we focus on cooperative, two-party sequential games in which a single classical bit of communication is allowed from the player who moves first to the player who moves second. Within this setting, we explore the usage of quantum entanglement between the players and find analytic and numerical conditions for quantum advantage over classical strategies. Using these conditions, we study a family of blackjack-type games with varying numbers of card types, and find a range of parameters where quantum advantage is achieved. Furthermore, we give an explicit quantum circuit for the strategy achieving quantum advantage.


Item Type:Report or Paper (Discussion Paper)
Related URLs:
URLURL TypeDescription
http://arxiv.org/abs/1908.09417arXivDiscussion Paper
ORCID:
AuthorORCID
Harrow, Aram W.0000-0003-3220-7682
Natarajan, Anand V.0000-0003-3648-3844
Additional Information:JXL acknowledges support from the MIT Undergraduate Research Opportunities Program (UROP). AWH was funded by NSF grants CCF-1452616, CCF-1729369, PHY-1818914 and ARO contract W911NF-17-1-0433. AVN was partially supported by NSF grant CCF-1452616. JAF is supported by U.S. Department of Energy Contract DE-SC0011091 and NSF award 1505678. JAF would also like to thank C. Pollak and his monthly “Lonely Poker Hearts Club Band” for the topic inspiration.
Group:Institute for Quantum Information and Matter
Funders:
Funding AgencyGrant Number
Massachusetts Institute of Technology (MIT)UNSPECIFIED
NSFCCF-1452616
NSFCCF-1729369
NSFPHY-1818914
Army Research Office (ARO)W911NF-17-1-0433
Department of Energy (DOE)DE-SC0011091
NSFPHY-1505678
Record Number:CaltechAUTHORS:20200417-132554488
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20200417-132554488
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:102607
Collection:CaltechAUTHORS
Deposited By: George Porter
Deposited On:17 Apr 2020 21:10
Last Modified:04 Jun 2020 10:14

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