Matrix product states for quantum metrology

Abstract

We demonstrate that the optimal states in lossy quantum interferometry may be efficiently simulated using low rank matrix product states. We argue that this should be expected in all realistic quantum metrological protocols with uncorrelated noise and is related to the elusive nature of the Heisenberg precision scaling in presence of decoherence.

5 pages, 2 figures

References in corpus (13)

• Matrix Product States, Projected Entangled Pair States, and variational renormalization group methods for quantum spin systems
• LIGO: The Laser Interferometer Gravitational-Wave Observatory
• A gravitational wave observatory operating beyond the quantum shot-noise limit: Squeezed light in application
• General framework for estimating the ultimate precision limit in noisy quantum-enhanced metrology
• The elusive Heisenberg limit in quantum enhanced metrology
• Matrix product states represent ground states faithfully
• Optimal Quantum Phase Estimation
• General optimality of the Heisenberg limit for quantum metrology
• Extremal properties of the variance and the quantum Fisher information
• Qubit metrology and decoherence
• Phase estimation without a priori knowledge in the presence of loss
• Sub-Heisenberg estimation strategies are ineffective
• Optimal state for keeping reference frames aligned and the Platonic solids

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