Qubit flip game on a Heisenberg spin chain

DOI10.1007/s11128-011-0322-2zbMath1263.81086arXiv1108.0642OpenAlexW3105011984WikidataQ62582397 ScholiaQ62582397MaRDI QIDQ1939416

Zbigniew Puchała, Piotr Gawron, Jarosław Adam Miszczak

Publication date: 4 March 2013

Published in: Quantum Information Processing (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1108.0642

zbMATH Keywords

Heisenberg modelspin chainquantum informationquantum gamesquantum control

Mathematics Subject Classification ID

Applications of game theory (91A80) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Quantum information, communication, networks (quantum-theoretic aspects) (81P45)

Related Items (10)

Improving the payoffs of cooperators in three-player cooperative game using weak measurements ⋮ Two-player \(2 \times 2\) quantum game in spin system ⋮ Quantum games on evolving random networks ⋮ The dynamics of Nash equilibrium under non-Markovian classical noise in quantum prisoners' dilemma ⋮ Evolutionarily stable sets in quantum penny flip games ⋮ Algebro-geometric constructions of the Heisenberg hierarchy ⋮ Three-player conflicting interest games and nonlocality ⋮ Quantum control with spectral constraints ⋮ Decoherence effects in the quantum qubit flip game using Markovian approximation ⋮ Quasi-periodic solutions of the Heisenberg hierarchy

Uses Software

• SciPy

Cites Work

• Quantum strategies
• Parrondo's game using a discrete-time quantum walk
• Distinguishing quantum channels via magic squares game
• Integration with respect to the Haar measure on unitary, orthogonal and symplectic group
• Unitary designs and codes
• Quantum prisoner dilemma under decoherence
• An invitation to quantum game theory
• Revisiting impossible quantum operations using principles of no-signaling and nonincrease of entanglement under LOCC
• NOISE EFFECTS IN QUANTUM MAGIC SQUARES GAME
• Numerical Optimization
• Quantum Games and Quantum Strategies
• Quantum games with decoherence
• Noise effects in the quantum search algorithm from the viewpoint of computational complexity
• Introduction to Quantum Control and Dynamics

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