Cat state, sub-Planck structure and weak measurement
arXiv:1305.4009 · doi:10.1140/epjd/e2013-30592-9
Abstract
Heisenberg-limited and weak measurements are the two intriguing notions, used in recent times for enhancing the sensitivity of measurements in quantum metrology. Using a quantum cat state, endowed with sub-Planck structure, we connect these two novel concepts. It is demonstrated that these two phenomena manifest in complementary regimes, depending upon the degree of overlap between the mesoscopic states constituting the cat state under consideration. In particular, we find that when sub-Planck structure manifests, the imaginary weak value is obscured and vice-versa.
7 pages, 7 figures
References in corpus (21)
- Direct Measurement of the Quantum Wavefunction
- Experimental joint weak measurement on a photon pair as a probe of Hardy's Paradox
- Complex weak values in quantum measurement
- Direct observation of Hardy's paradox by joint weak measurement with an entangled photon pair
- Optimizing the Signal to Noise Ratio of a Beam Deflection Measurement with Interferometric Weak Values
- Opening up the Quantum Three-Box Problem with Undetectable Measurements
- The significance of the imaginary part of the weak value
- Sequential weak measurement
- Measuring measurement--disturbance relationships with weak values
- Optimal Probe Wavefunction of Weak-Value Amplification
- Pre- and post-selection, weak values, and contextuality
- Full counting statistics of weak measurement
- Time-frequency Domain Analogues of Phase Space Sub-Planck Structures
- Sub-Planck scale structures in a vibrating molecule in the presence of decoherence
- Observing trajectories with weak measurements in quantum systems in the semiclassical regime
- Weak and semiweak values in non-ideal spin measurements: an exact treatment beyond the asymptotic regime
- Distinguishability of apparatus states in quantum measurement in the Stern-Gerlach experiment
- Entanglement induced Sub-Planck structures
- Three-box paradox and "Cheshire cat grin": the case of spin-1 atoms
- Classical simulability and the significance of modular exponentiation in Shor's algorithm
- Coherent control of mesoscopic superpositions in a diatomic molecule