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Quantum blackjack: Advantages offered by quantum strategies in communication-limited games

Lin, Joseph X. and Formaggio, Joseph A. and Harrow, Aram W. and Natarajan, Anand V. (2020) Quantum blackjack: Advantages offered by quantum strategies in communication-limited games. Physical Review A, 102 (1). Art. No. 012425. ISSN 2469-9926. https://resolver.caltech.edu/CaltechAUTHORS:20200728-122746866

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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.


Item Type:Article
Related URLs:
URLURL TypeDescription
https://doi.org/10.1103/PhysRevA.102.012425DOIArticle
ORCID:
AuthorORCID
Lin, Joseph X.0000-0002-7521-7429
Formaggio, Joseph A.0000-0002-3757-9883
Harrow, Aram W.0000-0003-3220-7682
Natarajan, Anand V.0000-0003-3648-3844
Additional Information:© 2020 American Physical Society. Received 2 September 2019; accepted 6 July 2020; published 28 July 2020. J.X.L. acknowledges support from the Massachusetts Institute of Technology Undergraduate Research Opportunities Program. A.W.H. was funded by NSF Grants No. CCF-1452616, No. CCF-1729369, and No. PHY-1818914 and Army Research Office (ARO) Contract No. W911NF-17-1-0433. A.V.N. was partially supported by NSF Grant No. CCF-1452616. J.A.F. is supported by US Department of Energy Contract No. DE-SC0011091 and NSF Grant No. 1505678.
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
NSFCCF-1452616
Department of Energy (DOE)DE-SC0011091
NSFPHY-1505678
Issue or Number:1
Record Number:CaltechAUTHORS:20200728-122746866
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20200728-122746866
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:104606
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:28 Jul 2020 19:46
Last Modified:28 Jul 2020 19:46

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