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

References (15)

Quantum analogues of the Bell inequalities. The case of two spatially separated domains Tsirel'son, B. S. Journal of Soviet Mathematics, Vol. 36, Issue 4 https://doi.org/10.1007/BF01663472	journal	February 1987
Large Violation of Bell Inequalities with Low Entanglement Junge, M.; Palazuelos, C. Communications in Mathematical Physics, Vol. 306, Issue 3 https://doi.org/10.1007/s00220-011-1296-8	journal	July 2011
Classical command of quantum systems Reichardt, Ben W.; Unger, Falk; Vazirani, Umesh Nature, Vol. 496, Issue 7446 https://doi.org/10.1038/nature12035	journal	April 2013
The Optimum Strategy in Blackjack Baldwin, Roger R.; Cantey, Wilbert E.; Maisel, Herbert Journal of the American Statistical Association, Vol. 51, Issue 275 https://doi.org/10.1080/01621459.1956.10501334	journal	September 1956
Entanglement-assisted random access codes Pawłowski, Marcin; Żukowski, Marek Physical Review A, Vol. 81, Issue 4 https://doi.org/10.1103/PhysRevA.81.042326	journal	April 2010
“Hyperbits”: The information quasiparticles Pawłowski, Marcin; Winter, Andreas Physical Review A, Vol. 85, Issue 2 https://doi.org/10.1103/PhysRevA.85.022331	journal	February 2012
Higher-dimensional communication complexity problems: Classical protocols versus quantum ones based on Bell's theorem or prepare-transmit-measure schemes Tavakoli, Armin; Żukowski, Marek Physical Review A, Vol. 95, Issue 4 https://doi.org/10.1103/PhysRevA.95.042305	journal	April 2017
High-Dimensional Quantum Communication Complexity beyond Strategies Based on Bell’s Theorem Martínez, Daniel; Tavakoli, Armin; Casanova, Mauricio Physical Review Letters, Vol. 121, Issue 15 https://doi.org/10.1103/PhysRevLett.121.150504	journal	October 2018
Quantum cryptography based on Bell’s theorem Ekert, Artur K. Physical Review Letters, Vol. 67, Issue 6 https://doi.org/10.1103/PhysRevLett.67.661	journal	August 1991
Quantum Bidding in Bridge Muhammad, Sadiq; Tavakoli, Armin; Kurant, Maciej Physical Review X, Vol. 4, Issue 2 https://doi.org/10.1103/PhysRevX.4.021047	journal	June 2014
Tensor Norms and the Classical Communication Complexity of Nonlocal Quantum Measurement Shi, Yaoyun; Zhu, Yufan SIAM Journal on Computing, Vol. 38, Issue 3 https://doi.org/10.1137/050644768	journal	January 2008
Exponential Separation for One-Way Quantum Communication Complexity, with Applications to Cryptography Gavinsky, Dmitry; Kempe, Julia; Kerenidis, Iordanis SIAM Journal on Computing, Vol. 38, Issue 5 https://doi.org/10.1137/070706550	journal	January 2009
Semidefinite Programming Vandenberghe, Lieven; Boyd, Stephen SIAM Review, Vol. 38, Issue 1 https://doi.org/10.1137/1038003	journal	March 1996
Quantum Entanglement and Communication Complexity Buhrman, Harry; Cleve, Richard; van Dam, Wim SIAM Journal on Computing, Vol. 30, Issue 6 https://doi.org/10.1137/S0097539797324886	journal	January 2001
Bell Inequalities with One Bit of Communication Zambrini Cruzeiro, Emmanuel; Gisin, Nicolas Entropy, Vol. 21, Issue 2 https://doi.org/10.3390/e21020171	journal	February 2019

Similar Records

Quantum Advantage in Trading: A Game-Theoretic Approach

Journal Article · Thu Apr 17 00:00:00 EDT 2025 · Quantum Economics and Finance · OSTI ID:2565041

Application-level Benchmarking of Quantum Computers using Nonlocal Game Strategies

Journal Article · Thu Jul 31 00:00:00 EDT 2025 · Quantum Science and Technology · OSTI ID:2587042

Duality, phase structures, and dilemmas in symmetric quantum games

Journal Article · Thu Mar 15 00:00:00 EDT 2007 · Annals of Physics (New York) · OSTI ID:20976734

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
Bell tests
entanglement
quantum computation
quantum correlations in quantum information
quantum games
quantum nonlocality

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

Citation Formats

References (15)

Similar Records

Related Subjects