Zobrazeno 1 - 10
of 263
pro vyhledávání: '"Burgarth, Daniel"'
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
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
Publikováno v:
Phys. Rev. A 108, 052403 (2023)
A fundamental problem in quantum engineering is determining the lowest time required to ensure that all possible unitaries can be generated with the tools available, which is one of a number of possible quantum speed limits. We examine this problem f
Externí odkaz:
http://arxiv.org/abs/2304.06617
Publikováno v:
Quantum 8, 1262 (2024)
The interaction between light and matter is one of the oldest research areas of quantum mechanics, and a field that just keeps on delivering new insights and applications. With the arrival of cavity and circuit quantum electrodynamics we can now achi
Externí odkaz:
http://arxiv.org/abs/2301.02269
Publikováno v:
Journal of Physics A: Mathematical and Theoretical 57, 105301 (2024)
We provide state-dependent error bounds for strongly continuous unitary representations of connected Lie groups. That is, we bound the difference of two unitaries applied to a state in terms of the energy with respect to a reference Hamiltonian assoc
Externí odkaz:
http://arxiv.org/abs/2211.08582
Autor:
Lewalle, Philippe, Martin, Leigh S., Flurin, Emmanuel, Zhang, Song, Blumenthal, Eliya, Hacohen-Gourgy, Shay, Burgarth, Daniel, Whaley, K. Birgitta
Publikováno v:
Quantum 7, 1100 (2023)
The Zeno effect, in which repeated observation freezes the dynamics of a quantum system, stands as an iconic oddity of quantum mechanics. When a measurement is unable to distinguish between states in a subspace, the dynamics within that subspace can
Externí odkaz:
http://arxiv.org/abs/2211.05988