Collective Decoherence of Nuclear Spin Clusters

Abstract

The problem of dipole-dipole decoherence of nuclear spins is considered for strongly entangled spin cluster. Our results show that its dynamics can be described as the decoherence due to interaction with a composite bath consisting of fully correlated and uncorrelated parts. The correlated term causes the slower decay of coherence at larger times. The decoherence rate scales up as a square root of the number of spins giving the linear scaling of the resulting error. Our theory is consistent with recent experiment reported in decoherence of correlated spin clusters.

4 pages, 4 figures

References in corpus (10)

• Decoherence Free Subspaces for Quantum Computation
• Experimental realization of Shor's quantum factoring algorithm using nuclear magnetic resonance
• Quantum Computers and Dissipation
• Decoherence of quantum registers
• Quantum Information in Semiconductors: Noiseless Encoding in a Quantum-Dot Array
• Decoherence and gate performance of coupled solid state qubits
• Measures of Decoherence
• Time Scales of Phonon Induced Decoherence of Semiconductor Spin Qubits
• Additivity of decoherence measures for multiqubit quantum systems
• Decoherence in a N-qubit solid-state quantum computer

Cited by in corpus (8)

• Dynamics and Control of a Quasi-1D Spin System
• Decay of highly-correlated spin states in a dipolar-coupled solid
• Numerical analysis of relaxation times of multiple quantum coherences in the system with a large number of spins
• Dynamics of Collective Decoherence and Thermalization
• Irreversible decoherence of dipole interacting nuclear spins coupled with a phonon bath
• Quantitative Treatment of Decoherence
• Stable Collective Dynamics of Two-Level Systems Coupled by Dipole Interactions
• Universal quantum logic gates in a scalable Ising spin quantum computer