Improved Quantum Metrology Using Quantum Error Correction

By Wolfgang Dür, Michael Skotiniotis, F. Frowis, Barbara Kraus. 2013

238 citations recorded by the source corpus.

We consider quantum metrology in noisy environments, where the effect of noise and decoherence limits the achievable gain in precision by quantum entanglement. We show that by using tools from quantum error correction this limitation can be overcome. This is demonstrated in two scenarios, including a many-body Hamiltonian with single-qubit dephasing or depolarizing noise and a single-body Hamiltonian with transversal noise. In both cases, we show that Heisenberg scaling, and hence a quadratic improvement over the classical case, can be retained. Moreover, for the case of frequency estimation we find that the inclusion of error correction allows, in certain instances, for a finite optimal interrogation time even in the asymptotic limit.

Subfields: Artificial Intelligence, Atomic and Molecular Physics, and Optics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/100240cb3f9cd468fe79b2344be043bfcb4f3a78

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Citations in the corpus

Quantum-enhanced measurements without entanglement (2017, background): “Quantum error correction for quantum-enhanced measurements, recently introduced in (Dür et al., 2014; Kessler et al., 2014), can also be seen in the context of quantum feedback schemes (Ahn et al., 2002).”
Quantum metrology with nonclassical states of atomic ensembles (2016, methodology): “These techniques can be used to extend the coherence time and/or to achieve the Heisenberg limit for certain noise models (Arrad et al., 2014; Dür et al., 2014; Kessler et al., 2014b; Ozeri, 2013).”
Quantum limits in optical interferometry (2014, background): “…times, in which the SQL-like scaling bounds may in principle be circumvented by: adjusting decoherence geometry (Arrad et al., 2014; Chaves et al., 2013; Dür et al., 2014; Kessler et al., 2013) or by considering Non-Markovian short-time behaviour (Chin et al., 2012; Matsuzaki et al., 2011).”
Macroscopic quantum states: Measures, fragility, and implementations (2017, methodology): “…Hamiltonian for parameter estimation is typically given by the problem and cannot be changed, a quantum algorithm is theoretically under full experimental control and, therefore, techniques like quantum error correction can be applied (Arrad et al., 2014; Dür et al., 2014; Kessler et al., 2014).”