Quantum states for Heisenberg-limited interferometry
arXiv:quant-ph/0702170 · doi:10.1103/PhysRevA.76.013804
Abstract
The phase resolution of interferometers is limited by the so-called Heisenberg limit, which states that the optimum phase sensitivity is inversely proportional to the number of interfering particles N, a 1/sqrt{N} improvement over the standard quantum limit. We have used simulated annealing, a global optimization strategy, to systematically search for quantum interferometer input states that approach the Heisenberg limited uncertainty in estimates of the interferometer phase shift. We compare the performance of these states to that of other non-classical states already known to yield Heisenberg limited uncertainty.
Published version, Updated discussion on N00N states, 11 pages, 6 figures
References in corpus (10)
- Multi-particle entanglement of hot trapped ions
- Super-resolving phase measurements with a multi-photon entangled state
- De Broglie Wavelength of a Nonlocal Four-Photon
- Tensor polarizability and dispersive quantum measurement of multilevel atoms
- Efficient Quantum State Estimation by Continuous Weak Measurement and Dynamical Control
- Phase Sensitivity of a Mach-Zehnder Interferometer
- States for phase estimation in quantum interferometry
- Noise limits in matter-wave interferometry using degenerate quantum gases
- Fidelity of Quantum Interferometers
- Quantum limits on phase-shift detection using multimode interferometers
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- On the connection between quantum nonlocality and phase sensitivity of two-mode entangled Fock state superpositions
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