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. doi:10.1103/PhysRevA.102.012425. https://resolver.caltech.edu/CaltechAUTHORS:20200728-122746866
![]()
|
PDF
- Published Version
See Usage Policy. 820kB |
Use this Persistent URL to link to this item: https://resolver.caltech.edu/CaltechAUTHORS:20200728-122746866
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: |
| ||||||||||||||||||
ORCID: |
| ||||||||||||||||||
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: |
| ||||||||||||||||||
Issue or Number: | 1 | ||||||||||||||||||
DOI: | 10.1103/PhysRevA.102.012425 | ||||||||||||||||||
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: | 16 Nov 2021 18:33 |
Repository Staff Only: item control page