Zobrazeno 1 - 10
of 263
pro vyhledávání: '"Burgarth, Daniel"'
We analytically find quantitative, non-perturbative bounds to the validity of the rotating-wave approximation (RWA) for the multi-atom generalization of the quantum Rabi model: the Dicke model. Precisely, we bound the norm of the difference between t
Externí odkaz:
http://arxiv.org/abs/2410.18694
In analog and digital simulations of practically relevant quantum systems, the target dynamics can only be implemented approximately. The Trotter product formula is the most common approximation scheme as it is a generic method which allows tuning ac
Externí odkaz:
http://arxiv.org/abs/2410.03059
Bang-bang dynamical decoupling protects an open quantum system from decoherence due to its interaction with the surrounding bath/environment. In its standard form, this is achieved by strongly kicking the system with cycles of unitary operations, whi
Externí odkaz:
http://arxiv.org/abs/2409.18514
Dynamical decoupling is a technique aimed at suppressing the interaction between a quantum system and its environment by applying frequent unitary operations on the system alone. In the present paper, we analytically study the dynamical decoupling of
Externí odkaz:
http://arxiv.org/abs/2409.15743
The evolution of mixed states of a closed quantum system is described by a group of evolution superoperators whose infinitesimal generator (the quantum Liouville superoperator, or Liouvillian) determines the mixed-state counterpart of the Schr\"oding
Externí odkaz:
http://arxiv.org/abs/2408.04980
The surface code is a spin-1/2 lattice system that can exhibit non-trivial topological order when defects are punctured in the lattice and thus can be used as a stabiliser code. The protocols developed to create defects in the system have previously
Externí odkaz:
http://arxiv.org/abs/2406.00460
Autor:
Heib, Tim, Lageyre, Paul, Ferreri, Alessandro, Wilhelm, Frank K., Paraoanu, G. S., Burgarth, Daniel, Schell, Andreas Wolfgang, Bruschi, David Edward
In this work we study the validity of the rotating wave approximation of an ideal system composed of two harmonic oscillators evolving with a quadratic Hamiltonian and arbitrarily strong interaction. We solve the dynamics analytically by employing to
Externí odkaz:
http://arxiv.org/abs/2403.15342
Publikováno v:
Phys. Rev. Research 6, L042011 (2024)
The product of two unitaries can normally be expressed as a single exponential through the famous Baker-Campbell-Hausdorff formula. We present here a counterexample in quantum optics, by showing that an expression in terms of a single exponential is
Externí odkaz:
http://arxiv.org/abs/2402.17114
Efficient error estimates for the Trotter product formula are central in quantum computing, mathematical physics, and numerical simulations. However, the Trotter error's dependency on the input state and its application to unbounded operators remains
Externí odkaz:
http://arxiv.org/abs/2312.08044
Autor:
Johnsson, Mattias T., Burgarth, Daniel
Publikováno v:
Physical Review A 109, 012617 (2024)
The quantum harmonic oscillator is one of the most fundamental objects in physics. We consider the case where it is extended to an arbitrary number modes and includes all possible terms that are bilinear in the annihilation and creation operators, an
Externí odkaz:
http://arxiv.org/abs/2304.11776