Remote Parameter Estimation in a Quantum Spin Chain Enhanced by Local Control

Abstract

We study the interplay of control and parameter estimation on a quantum spin chain. A single qubit probe is attached to one end of the chain, while we wish to estimate a parameter on the other end. We find that control on the probe qubit can substantially improve the estimation performance and discover some interesting connections to quantum state transfer.

7 pages, 3 figures

References in corpus (10)

• QuTiP 2: A Python framework for the dynamics of open quantum systems
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• Fisher information under decoherence in Bloch representation
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Cited by in corpus (8)

• Quantum thermometry by single-qubit dephasing
• Integrable quantum many-body sensors for AC field sensing
• The advantage of quantum control in many-body Hamiltonian learning
• A greedy reconstruction algorithm for the identification of spin distribution
• Time-local optimal control for parameter estimation in the Gaussian regime
• Optimal control for Hamiltonian parameter estimation in non-commuting and bipartite quantum dynamics
• QMetrology from QCosmology: Study with Entangled Two Qubit Open Quantum System in De Sitter Space
• Applicability of coupling strength estimation for linear chains of restricted access