Double dot chain as a macroscopic quantum bit

Abstract

We consider an array of N quantum dot pairs interacting via Coulomb interaction between adjacent dots and hopping inside each pair. We show that at the first order in the ratio of hopping and interaction amplitudes, the array maps in an effective two level system with energy separation becoming exponentially small in the macroscopic (large N) limit. Decoherence at zero temperature is studied in the limit of weak coupling with phonons. In this case the macroscopic limit is robust with respect to decoherence. Some possible applications in quantum information processing are discussed.

Phys. Rev. A (in press)

References in corpus (14)

• Decoherence, einselection, and the quantum origins of the classical
• Coherent control of macroscopic quantum states in a single-Cooper-pair box
• Scaling of Entanglement close to a Quantum Phase Transitions
• Entanglement in a simple quantum phase transition
• Quantum Computers and Dissipation
• Robustness of adiabatic quantum computation
• Decoherence of quantum registers
• Quantum computing with antiferromagnetic spin clusters
• Decoherence Rate of Semiconductor Charge Qubit Coupled to Acoustic Phonon Reservoir
• Adiabatic Transfer of Electrons in Coupled Quantum Dots
• Two - Level Atom - Field Interaction: Exact Master Equations for Non-Markovian Dynamics, Decoherence and Relaxation
• Adiabatic Decoherence
• Teleportation on a quantum dot array
• Adiabatic Time Evolution in Spin-Systems

Cited by in corpus (9)

• Extended Bose Hubbard model of interacting bosonic atoms in optical lattices: from superfluidity to density waves
• Transfer of arbitrary two qubit states via a spin chain
• Decay of highly-correlated spin states in a dipolar-coupled solid
• Spin chains for two-qubit teleportation
• Dimensionality-enhanced quantum state transfer in long-range interacting spin systems
• Many-qubit quantum state transfer via spin chains
• Optimal electron propagation on a quantum chain by a topological phase
• Ion-trap simulation of the quantum phase transition in an exactly solvable model of spins coupled to bosons
• A Chain-Boson Model for the Decoherence and Relaxation of a Few Coupled SQUIDs in a Phonon Bath