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Chopped random-basis quantum optimization
The efficiency of the chopped random basis optimal control technique in optimizing different quantum processes is studied and it is shown that in the considered cases it obtain results equivalent to those obtained via different optimal control methods while using less resources.
Optimal control technique for many-body quantum dynamics.
We present an efficient strategy for controlling a vast range of nonintegrable quantum many-body one-dimensional systems that can be merged with state-of-the-art tensor network simulation methods…
Optimal control of complex atomic quantum systems
This work computing theoretically and verifying experimentally the optimal transformations in two very different interacting systems: the coherent manipulation of motional states of an atomic Bose-Einstein condensate and the crossing of a quantum phase transition in small systems of cold atoms in optical lattices.
Positive Tensor Network Approach for Simulating Open Quantum Many-Body Systems.
This work introduces a versatile and practical method to numerically simulate one-dimensional open quantum many-body dynamics using tensor networks, based on representing mixed quantum states in a locally purified form, which guarantees that positivity is preserved at all times.
Optimal control at the quantum speed limit.
This work explores the ultimate limit in paradigmatic cases of optimal control theory, and demonstrates that it coincides with the maximum speed limit allowed by quantum evolution.
Communication at the quantum speed limit along a spin chain
Spin chains have long been considered as candidates for quantum channels to facilitate quantum communication. We consider the transfer of a single excitation along a spin-1/2 chain governed by…
Density Matrix Renormalization Group for Dummies
We describe the Density Matrix Renormalization Group algorithms for time dependent and time independent Hamiltonians. This paper is a brief but comprehensive introduction to the subject for anyone…
Simulation of time evolution with multiscale entanglement renormalization ansatz
We describe an algorithm to simulate time evolution using the multiscale entanglement renormalization ansatz and test it by studying a critical Ising chain with periodic boundary conditions and with…
Generation and manipulation of Schrödinger cat states in Rydberg atom arrays
Entanglement of up to 20 qubits is achieved in superconducting and trapped atom platforms and “Schrödinger cat” states of the Greenberger-Horne-Zeilinger (GHZ) type with up to20 qubits are created, establishing important ingredients for quantum information processing and quantum metrology.
Finite-representation approximation of lattice gauge theories at the continuum limit with tensor networks
It has been established that matrix product states can be used to compute the ground state and single-particle excitations and their properties of lattice gauge theories at the continuum limit.…