14.2k citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- University of WarsawPL204 papers
- Centre National de la Recherche ScientifiqueFR196 papers
- Sapienza University of RomeIT190 papers
- Max Planck Institute for Gravitational PhysicsDE187 papers
- University of PerugiaIT187 papers
- University of PisaIT185 papers
- University of Rome Tor VergataIT185 papers
- University of TrentoIT184 papers
- University of SouthamptonGB183 papers
- University of SalernoIT182 papers
- University of UrbinoIT182 papers
- Vrije Universiteit AmsterdamNL182 papers
23 papers · 1 filter
Atoms in a spin dependent optical potential: ground state topology and magnetization
Piotr Szulim, Marek Trippenbach, Y. B. Band +2
We investigate a Bose-Einstein condensate of Rb atoms in a 2D spin-dependent optical lattice generated by intersecting laser beams with a superposition of polarizatio…
Fermionic quantum carpets: From canals and ridges to solitonlike structures
Piotr T. Grochowski, Tomasz Karpiuk, Mirosław Brewczyk +1
We report a formation of sharp, solitonlike structures in an experimentally accessible ultracold Fermi gas, as a quantum carpet solution is analyzed in a many body system. The effe…
Do transitive preferences always result in indifferent divisions?
Marcin Makowski, Edward W. Piotrowski, Jan Sładkowski
The transitivity of preferences is one of the basic assumptions used in the theory of games and decisions. It is often equated with rationality of choice and is considered useful i…
Transitivity of an entangled choice
Marcin Makowski, Edward W. Piotrowski
We describe a quantum model of simple choice game (constructed upon entangled state of two qubits), which involves the fundamental problem of transitive - intransitive preferences.…
Decisions in elections --- transitive or intransitive quantum preferences
Marcin Makowski, Edward W. Piotrowski
Our preferences depend on the circumstances in which we reveal them. We will introduce a dependency which allows us to illustrate the relation between the possibility of winning of…
Exact dynamics and decoherence of two cold bosons in a 1D harmonic trap
Tomasz Sowinski, Miroslaw Brewczyk, Mariusz Gajda +1
We study dynamics of two interacting ultra cold Bose atoms in a harmonic oscillator potential in one spatial dimension. Making use of the exact solution of the eigenvalue problem o…
Transitivity vs. Intransitivity in decision making process. (An example in quantum game theory)
Marcin Makowski
We compare two different ways of quantization a simple sequential game Cat's Dilemma in the context of the debate on intransitive and transitive preferences. This kind of analysis…
Quantum extension of European option pricing based on the Ornstein-Uhlenbeck process
Edward W. Piotrowski, Malgorzata Schroeder, Anna Zambrzycka
In this work we propose a option pricing model based on the Ornstein-Uhlenbeck process. It is a new look at the Black-Scholes formula which is based on the quantum game theory. We…
Quantum Cat's Dilemma
Marcin Makowski, Edward W. Piotrowski
We study a quantum version of the sequential game illustrating problems connected with making rational decisions. We compare the results that the two models (quantum and classical)…
Quantum Games and Programmable Quantum Systems
Edward W. Piotrowski, Jan Sladkowski
Attention to the very physical aspects of information characterizes the current research in quantum computation, quantum cryptography and quantum communication. In most of the case…
Universality of Measurements on Quantum Markets
Ireneusz Pakula, Edward W. Piotrowski, Jan Sladkowski
We reason about possible future development of quantum game theory and its impact on information processing and the emerging information society. Two of the authors have recently p…
Quantization of Games: Towards Quantum Artificial Intelligence
Katarzyna Miakisz, Edward W. Piotrowski, Jan Sladkowski
On grounds of the discussed material, we reason about possible future development of quantum game theory and its impact on information processing and the emerging information socie…
Quantum computer: an appliance for playing market games
Edward W. Piotrowski, Jan Sladkowski
Recent development in quantum computation and quantum information theory allows to extend the scope of game theory for the quantum world. The authors have recently proposed a quant…
An invitation to Quantum Game Theory
E. W. Piotrowski, J. Sladkowski
Recent development in quantum computation and quantum information theory allows to extend the scope of game theory for the quantum world. The paper presents the history, basic idea…
Fixed point theorem for simple quantum strategies in quantum market games
Edward W. Piotrowski
A simple but nontrivial class of the quantum strategies in buying-selling games is presented. The player moves are a rational buying and an unconditional selling. The possibility o…
Interference of Quantum Market Strategies
E. W. Piotrowski, J. Sladkowski, J. Syska
Recent development in quantum computation and quantum information theory allows to extend the scope of game theory for the quantum world. The paper is devoted to the analysis of in…
Quantum solution to the Newcomb's paradox
E. W. Piotrowski, J. Sladkowski
We show that quantum game theory offers solution to the famous Newcomb's paradox (free will problem). Divine foreknowledge is not necessary for successful completion of the game be…
Trading by Quantum Rules - Quantum Anthropic Principle
E. W. Piotrowski, J. Sladkowski
This is a short review of the background and recent development in quantum game theory and its possible application in economics and finance. The intersection of science and societ…
Quantum-like approach to financial risk: quantum anthropic principle
E. W. Piotrowski, J. Sładkowski
We continue the analysis of quantum-like description of market phenomena and economics. We show that it is possible to define a risk inclination operator acting in some Hilbert spa…
Quantum English Auctions
E. W. Piotrowski, J. Sladkowski
We continue the analysis of quantum-like description of markets and economics. The approach has roots in the recently developed quantum game theory and quantum computing. The prese…
Quantum Bargaining Games
E. W. Piotrowski, J. Sladkowski
We continue the analysis of quantum-like description of markets and economics. The approach has roots in the recently developed quantum game theory and quantum computing. The prese…
Quantum Market Games
E. W. Piotrowski, J. Sladkowski
We propose a quantum-like description of markets and economics. The approach has roots in the recently developed quantum game theory.
Optimized perturbation method for the propagation in the anharmonic oscillator potential
Anna Okopińska
The application of the optimized expansion for the quantum-mechanical propagation in the anharmonic potential is discussed for real and imaginary time. The first order resul…