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13 papers · 2 filters
On non-commutative operator graphs generated by reducible unitary representation of the Heisenberg-Weyl group
G. G. Amosov, A. S. Mokeev
We consider a reducible unitary representation of Heisenberg-Weyl group in a tensor product of two Hilbert spaces. A non-commutative operator graph generated by this representation…
Quantum communication protocols as a benchmark for quantum computers
A. A. Zhukov, E. O. Kiktenko, A. A. Elistratov +2
We point out that realization of quantum communication protocols in programmable quantum computers provides a deep benchmark for capabilities of real quantum hardware. Particularly…
A remark on the notion of independence of quantum integrals of motion in the thermodynamic limit
Oleg Lychkovskiy
Studies of integrable quantum many-body systems have a long history with an impressive record of success. However, surprisingly enough, an unambiguous definition of quantum integra…
Merits of using density matrices instead of wave functions in the stationary Schrödinger equation for systems with symmetries
E. Shpagina, F. Uskov, N. Il'in +1
The stationary Schrödinger equation can be cast in the form , where is the system's Hamiltonian and is the system's density matrix. We explore the merits of this…
Simulation complexity of open quantum dynamics: Connection with tensor networks
I. A. Luchnikov, S. V. Vintskevich, H. Ouerdane +1
The difficulty to simulate the dynamics of open quantum systems resides in their coupling to many-body reservoirs with exponentially large Hilbert space. Applying a tensor network…
Entangling problem Hamiltonian for adiabatic quantum computation
Oleg Lychkovskiy
Adiabatic quantum computation starts from embedding a computational problem into a Hamiltonian whose ground state encodes the solution to the problem. This problem Hamiltonian, $H_…