• Corpus ID: 92990345

Subspace controllability of bipartite symmetric spin networks under global control

@article{Albertini2019SubspaceCO,
  title={Subspace controllability of bipartite symmetric spin networks under global control},
  author={Francesca Albertini and Domenico D’Alessandro},
  journal={arXiv: Quantum Physics},
  year={2019}
}
We consider a class of spin networks where each spin in a certain set interacts, via Ising coupling, with a set of central spins, and the control acts simultaneously on all the spins. This is a common situation for instance in NV centers in diamonds, and we focus on the physical case of up to two central spins. Due to the permutation symmetries of the network, the system is not globally controllable but it displays invariant subspaces of the underlying Hilbert space. The system is said to be… 

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References

SHOWING 1-10 OF 21 REFERENCES
Controllability of Symmetric Spin Networks.
We consider a network of n spin 1/2 systems which are pairwise interacting via Ising interaction and are controlled by the same electro-magnetic control field. Such a system presents symmetries since
Subspace controllability of spin-1/2 chains with symmetries
Symmetry is a fundamentally important concept in many branches of physics. In this work, we discuss two types of symmetries, external symmetry and internal symmetry, which appear frequently in
Generalized Young Symmetrizers for the Analysis of Control Systems on Tensor Spaces
TLDR
A method to analyze and decompose the dynamics of a control system on a Lie group subject to symmetries based on the concept of generalized Young symmetrizers of representation theory is described.
Controllability of molecular systems.
TLDR
This paper analyzes the controllability of quantum systems arising in molecular dynamics as systems with finite numbers of levels, and examines their controllable status.
Controlling the quantum dynamics of a mesoscopic spin bath in diamond
Understanding and mitigating decoherence is a key challenge for quantum science and technology. The main source of decoherence for solid-state spin systems is the uncontrolled spin bath environment.
Introduction to Quantum Control and Dynamics
QUANTUM MECHANICS States and Operators Observables and Measurement Dynamics of Quantum Systems MODELING OF QUANTUM CONTROL SYSTEMS: EXAMPLES Quantum Theory of Interaction of Particles and Fields
Universal control and error correction in multi-qubit spin registers in diamond.
TLDR
This work uses the electron spin of a nitrogen-vacancy centre in diamond to selectively initialize, control and read out carbon-13 spins in the surrounding spin bath and construct high-fidelity single- and two-qubit gates.
Quantum computation and quantum information
  • T. Paul
  • Physics
    Mathematical Structures in Computer Science
  • 2007
This special issue of Mathematical Structures in Computer Science contains several contributions related to the modern field of Quantum Information and Quantum Computing. The first two papers deal
Almost any quantum logic gate is universal.
  • Lloyd
  • Physics
    Physical review letters
  • 1995
TLDR
Almost any quantum logic gate with two or more inputs is computationally universal in that copies of the gate can be "wired together" to effect any desired logic circuit, and to perform any desired unitary transformation on a set of quantum variables.
Compact Hermitian Young Projection Operators
In this paper, we describe a compact and practical algorithm to construct Hermitian Young projection operators for irreducible representations of the special unitary group SU(N), and discuss why
...
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