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

Lin, Joseph X.; Formaggio, Joseph A.; Harrow, Aram W.; Natarajan, Anand V.

doi:10.1103/physreva.102.012425

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

Journal Article · Tue Jul 28 00:00:00 EDT 2020 · Physical Review A

DOI:https://doi.org/10.1103/physreva.102.012425· OSTI ID:1643709

^[1]; ^[2]; Harrow, Aram W. ^[2]; Natarajan, Anand V. ^[3]

Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States); Massachusetts Institute of Technology
Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States); California Institute of Technology (CalTech), Pasadena, CA (United States)

Here, 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. Furthermore, 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.

View Accepted Manuscript (DOE)

Research Organization:: Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Nuclear Physics (NP); National Science Foundation (NSF); US Army Research Office (ARO)

Grant/Contract Number:: SC0011091

OSTI ID:: 1643709

Journal Information:: Physical Review A, Journal Name: Physical Review A Journal Issue: 1 Vol. 102; ISSN 2469-9934; ISSN 2469-9926

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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