Quantum metrology at the Heisenberg limit with ion traps

Abstract

Sub-Planck phase-space structures in the Wigner function of the motional degree of freedom of a trapped ion can be used to perform weak force measurements with Heisenberg-limited sensitivity. We propose methods to engineer the Hamiltonian of the trapped ion to generate states with such small scale structures, and we show how to use them in quantum metrology applications.

10 pages, 6 figures

References in corpus (1)

• Multiphoton path entanglement by non-local bunching

Cited by in corpus (5)

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• Improved practical decoy state method in quantum key distribution with parametric down conversion source
• Fast rate estimation of an unitary operation in SU(d)
• Sub-Planck scale structures in a vibrating molecule in the presence of decoherence
• Teleportation fidelity as a probe of sub-Planck phase-space structure