Implementation schemes for unsharp measurements with trapped ions

Abstract

Unsharp POVM measurements allow a variety of measurement applications which minimally disrupt the state of the quantum system. Experimental schemes are proposed for implementing unsharp measurements on the qubit levels of a trapped ion. The schemes rely on introducing weak entanglement between the state of a target ion, and that of an auxiliary ion, using standard ion trap quantum logic operations, and then realizing an unsharp measurement through projective measurement on the auxiliary atom. We analyze common sources of error and their effect on different applications of unsharp measurements.

9 pages, 8 figures

References in corpus (6)

• Quantum feedback control of a superconducting qubit: Persistent Rabi oscillations
• Manipulation and Detection of a Trapped Yb+ Ion Hyperfine Qubit
• Scaling and Suppression of Anomalous Quantum Decoherence in Ion Traps
• Undoing a weak quantum measurement of a solid-state qubit
• Exact Results on Dynamical Decoupling by $\pi$-Pulses in Quantum Information Processes
• Qubit feedback and control with kicked quantum nondemolition measurements: A quantum Bayesian analysis

Cited by in corpus (11)

• The quasiprobability behind the out-of-time-ordered correlator
• Limitations on sharing Bell nonlocality between sequential pairs of observers
• Detection of genuine tripartite entanglement by multiple sequential observers
• Genuine Einstein-Podolsky-Rosen steering of three-qubit states by multiple sequential observers
• Recycling qubits for the generation of Bell nonlocality between independent sequential observers
• Suppressing Amplitude Damping in Trapped Ions: Discrete Weak Measurements for a Non-unitary Probabilistic Noise Filter
• Eavesdropping a Quantum Key Distribution network using sequential quantum unsharp measurement attacks
• Reduced conditional dynamic of quantum system under indirect quantum measurement
• Indirect Measurement Process Parameterized by Nonunitary System - Pointer Interaction
• Limiting distribution of periodic position measurements of a quantum harmonic oscillator
• An indirect measurement protocol of intracavity mode quadratures dispersion in Dynamical Casimir Effect