Fermionic quasifree states and maps in information theory

DOI10.1063/1.2841326zbMath1153.81349arXiv0709.1061OpenAlexW3103147534MaRDI QIDQ3544649

Brecht S. Dierckx, Monika Pogorzelska, Mark Fannes

Publication date: 8 December 2008

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0709.1061

Mathematics Subject Classification ID

Communication, information (94A99) Commutation relations and statistics as related to quantum mechanics (general) (81S05) Quantum information, communication, networks (quantum-theoretic aspects) (81P45)

Related Items

Second-order asymptotics for quantum hypothesis testing in settings beyond i.i.d.—quantum lattice systems and more, Thermalization of fermionic quantum walkers, Spectral properties of reduced fermionic density operators and parity superselection rule, On sampling determinantal and Pfaffian point processes on a quantum computer, On optimal currents of indistinguishable particles, Super-exponential distinguishability of correlated quantum states, Spectral theorem for the Lindblad equation for quadratic open fermionic systems, Fermionic walkers driven out of equilibrium, On fermionic walkers interacting with a correlated structured environment, Asymptotic distinguishability measures for shift-invariant quasifree states of fermionic lattice systems

Cites Work

• Differential calculus on compact matrix pseudogroups (quantum groups)
• A class of dissipative evolutions with applications in thermodynamics of fermion systems
• Unknown quantum states: The quantum de Finetti representation