Symmetry and decoherence-free subspaces in quantum neural networks

Abstract

Evolution of quantum states of array of quantum dots is analyzed by means of numerical solution of the von Neumann equation. For two qubit system with dipole-dipole interaction and common phonon bath the evolution of the symmetric state $\frac{\uparrow \downarrow +\downarrow \uparrow }{\sqrt{2}}$ leads to the mixture of the triplet states, leaving the singlet decoupled. For three qubit system ($D_{1/2}^{\otimes 3}=D_{3/2}+2D_{1/2}$) with common phonon bath we observed similar effects within the quartet state $D_{3/2}$ if all qubits were symmetrically connected.

arXiv commentLaTex, 11 pages, 6 eps figures

References in corpus (7)

• Mixed State Entanglement and Quantum Error Correction
• Noiseless Quantum Codes
• The quest for a Quantum Neural Network
• Realizing the $XY$ Hamiltonian in polariton simulators
• Towards a feasible implementation of quantum neural networks using quantum dots
• Ultrafast optical signature of quantum superpositions in a nanostructure
• Entanglement in a quantum neural network based on quantum dots