Quantum transition-edge detectors
arXiv:1305.1750 · doi:10.1103/PhysRevA.88.021801
Abstract
Small perturbations to systems near critical points of quantum phase transitions can induce drastic changes in the system properties. Here I show that this sensitivity can be exploited for weak-signal detection applications. This is done by relating a widely studied signature of quantum chaos and quantum phase transitions known as the Loschmidt echo to the minimum error probability for a quantum detector and noting that the echo, and therefore the error, can be significantly reduced near a critical point. Three examples, namely, the quantum Ising model, the optical parametric oscillator model, and the Dicke model, are presented to illustrate the concept. For the latter two examples, the detectable perturbation can exhibit a Heisenberg scaling with respect to the number of detectors, even though the detectors are not entangled and no special quantum state preparation is specified.
v2: published in PRA Rapid
References in corpus (8)
- Dynamics of Loschmidt echoes and fidelity decay
- The Statistics of the Work Done on a Quantum Critical System by Quenching a Control Parameter
- Quantum criticality as a resource for quantum estimation
- Loschmidt Echo
- Quantum Metrological Limits via a Variational Approach
- Phase estimation without a priori knowledge in the presence of loss
- Nonequilibrium Quantum Phase Transitions in the Ising Model
- Fundamental quantum limits to waveform detection
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- Phase Transitions in Light-Matter Systems for Quantum Sensing